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Welcome to the Math Salamanders 2d Shapes Worksheets. We have a wide selection of worksheets on 2d shapes, including symmetry worksheets, naming 2d shapes, shape riddles and puzzles, and sheets about the properties of 2d shapes. There are a range of worksheets at different levels, suitable for children from Kindergarten and up.

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2d Shape Worksheets

There are a range of geometry worksheets set out in different sections as follows:

Kindergarten Section

  • identify 2d shapes from pictures
  • tracing and shading 2d shapes

1st Grade Section

  • sorting 2d and 3d shapes
  • identify different types of 2d shapes.
  • drawing shapes using positional language - inside, above, below,...

2nd Grade Section

  • identify and name members of the triangle family, e.g. equilateral triangles.
  • identifying and sorting other 2d shapes
  • identify simple properties of 2d shapes - sides, corners, right angles
  • solving riddles involving 2d shapes

3rd Grade Section

  • identifying a range of 2d shapes;
  • knowing and using properties of 2d shapes - sides, symmetry, right angles
  • investigate properties and features of 2d shapes
  • symmetry worksheets
  • 2d shapes worksheets - area and perimeter

4th Grade Section

  • classify and measure a range of angles
  • using coordinates in the 1st quadrant

5th Grade Section

  • knowing properties of angles of triangles and quadrilaterals
  • finding missing angles
  • area of triangles and quadrilaterals

Geometry Riddles

  • Reasoning and exploring the properties of 2d shapes.

2D Shape Clipart

  • A range of printable clipart for 2d shapes.

Parts of a Circle Worksheets & Support

  • Worksheets and support for finding and naming the parts of a circle.

Identify 2D Shapes Online Quiz

  • an online quiz to help develop naming and identifying a range of 2D shapes.

Kindergarten 2d Shapes Worksheets

  • Shade the Circles Sheet 1
  • Shade the Rectangles Sheet 1
  • Shade the Squares Sheet 1
  • Count the Shapes 1
  • Match the Shapes Sheet 1
  • Trace the Shape Sheet 1
  • Trace the Shape Sheet 1a
  • Trace the Shape Sheet 2
  • Trace the Shape Sheet 2a

More Kindergarten Geometry Resources

  • More Kindergarten Shape Worksheets
  • More Kindergarten Tracing Worksheets
  • Top of Page

1st Grade Shape Worksheets

  • Identify Squares and Rectangles 1
  • Identify Squares and Rectangles 1 Answers
  • Identify Triangles and Circles
  • Identify Triangles and Circles Answers
  • Identify Simple 2d Shapes 1
  • Identify Simple 2d Shapes 1 Answers
  • Draw 2d Shapes 1

More 1st Grade Geometry Resources

  • More 1st Grade Geometry Worksheets

2nd Grade Shape Worksheets

  • Identify Triangles 1
  • Identify Triangles 1 Answers
  • Identify Triangles 2
  • Identify Triangles 2 Answers
  • Identify 2d Shapes 1
  • Sheet 1 Answers
  • Identify 2d Shapes 2
  • Sheet 2 Answers
  • Block Symmetry Sheet 1
  • Name and Trace 1
  • Name and Trace 2
  • Name and Trace 3
  • Name and Trace 3 (UK version)
  • Name and Trace 4
  • Name and Trace 4 (UK version)

More 2nd Grade Geometry Resources

  • More Second Grade Geometry Worksheets
  • More Block Symmetry Worksheets

3rd Grade Shape Worksheets

  • 2d Shapes Properties 1
  • 2d Shapes Properties 2
  • 2d Shapes - Can you draw it 1
  • Can you draw it 1 Answers
  • The Alphabet in Symmetry
  • The Alphabet in Symmetry Answers
  • Block Symmetry Sheet 5
  • Sheet 5 Answers
  • Line Symmetry 1
  • Area Sheet 1

More 3rd Grade Geometry Resources

  • More 3rd Grade Geometry Worksheets
  • More Line Symmetry Worksheets

4th Grade Shapes Worksheets

  • Angle Classification 1
  • Angle Classification 2
  • Triangle Classification 1
  • Angle Measuring 1
  • Angle Measuring 2
  • Plot the Coordinates Sheet 1
  • Area Sheet 4
  • Sheet 4 Answers

More 4th Grade Geometry Resources

  • More 4th Grade Geometry Worksheets
  • More Coordinate Worksheets
  • More Area Worksheets

5th Grade Shapes Worksheets

  • Angles to 90°
  • Angles to 90° Answers
  • Angles on a straight line
  • Angles on a straight line Answers
  • Angles around a point 1
  • Angles around a point 1 Answers
  • Angles in a triangle 1
  • Angles in a triangle 1 Answers
  • Find the missing angle 1
  • Find the missing angle 1 Answers

More 5th Grade Geometry Resources

  • More 5th Grade Geometry Worksheets
  • Explore 2d Shapes Worksheets

Looking for some geometry worksheets to get children thinking and reasoning about 2d shapes?

The shapes on this page are all about children really understanding what 2d shapes are all about, and using their reasoning skills to justify their thinking.

Using these sheets will help your child to:

  • know the properties of a range of 2d shapes;
  • recognise that some shapes can also be described as being other shapes; e.g. a square is also a rhombus;
  • recognise and understand right angles, parallel lines, lines of symmetry;
  • develop their geometric reasoning skills.

Here you will find our free printable geometry riddles from 1st to 5th grade.

These riddles are all about problem solving with 2d shapes.

Using these riddles will help your child to:

  • develop their geometry skills;
  • develop their understanding of geometric language;
  • apply their geometric knowledge to solve problems.

All the geometry riddles in this section support elementary math benchmarks.

  • Geometry Worksheets (Riddles)

Here you will find a selection of 2D shape sheets designed to help your child learn their names and properties of 2d shapes.

  • recognise a range of 2D shapes;
  • recognise that a square is also a member of the rectangle family;
  • recognise shapes in different orientations and sizes.

All the free printable shape sheets in this section support Elementary Math benchmarks.

  • Shapes Clipart - Basic 2D Shapes
  • Shapes Clip art - Triangle and Quadrilateral Families
  • Shapes for Kids - Regular Polygons (individual)
  • Regular Shapes (groups)
  • Printable Shapes - 2D and 3D Shape Sheets

Parts of a Circle Worksheets and Support

Do you know the special geometric names to describe the different parts of a circle?

Well you can find all the support you need on this page, complete with some practice worksheets and an online quiz!

  • Parts of a Circle Worksheets

Our quizzes have been created using Google Forms.

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This will take you to a new webpage where your results will be shown. You can print a copy of your results from this page, either as a pdf or as a paper copy.

For incorrect responses, we have added some helpful learning points to explain which answer was correct and why.

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We also collect the results from the quizzes which we use to help us to develop our resources and give us insight into future resources to create.

For more information on the information we collect, please take a look at our Privacy Policy

We would be grateful for any feedback on our quizzes, please let us know using our Contact Us link, or use the Facebook Comments form at the bottom of the page.

This quick quiz tests your knowledge and skill at indentifying 2D shapes including types of triangle..

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One to one maths interventions built for KS4 success

Weekly online one to one GCSE maths revision lessons now available

In order to access this I need to be confident with:

This topic is relevant for:

GCSE Maths

Here we will learn about 2D shapes, including symmetry, perimeter, area, circles, sectors, arcs and angles in polygons.

There are also 2D shapes worksheets based on Edexcel, AQA and OCR exam questions, along with further guidance on where to go next if you’re still stuck.

What are 2D shapes?

2D shapes are flat shapes which only have two dimensions; length and width.

Some examples of common 2D shapes names are triangles, rectangles, pentagons, hexagons, heptagons, octagons, nonagons, decagons and circles.

2D shapes image 1

We can solve problems involving 2D shapes using a variety of methods.

What are 2D shapes?

Polygons are 2D shapes made from straight lines. You will deal with two different types of polygons.

Regular polygons

Regular polygons have specific properties. They have all sides of equal length and all interior angles are equal.

Examples of basic 2D shapes that are regular polygons are equilateral triangles and squares.

Irregular polygons

Irregular shapes (or polygons) do not have all equal sides and do not have all equal angles . When the number of sides is unknown, we describe this shape as an \textbf{n-gon} where the number of sides is given as \textbf{n}.

You will also need to be able to solve problems involving angles in polygons. The angles in a polygon can help determine whether a polygon is regular, a specific type of polygon or to determine how many sides a polygon has. You need to be familiar with interior and exterior angles of polygons.

Interior angles are angles that are contained within the polygon.

2D shapes image 2

The sum of interior angles of any polygon can be calculated using the formula,

Sum of interior angles = (n-2) \times 180

where n represents the number of sides.

Exterior angles are supplementary to the interior angle. This means that the sum of the interior and exterior angles at a vertex always equals 180^{o}. We can use this property to find either the interior angle, or exterior angle at a vertex.

For any polygon the sum of exterior angles of a polygon 360^{o}.

2D shapes image 3

Step-by-step guide: Polygons

Symmetry is when a line is drawn through a shape to make one side of the line a reflection of the other. It is a property of a 2D polygon or 3D polyhedron.

There are two different types of symmetry that you need to be aware of. Lines of symmetry and rotational symmetry .

For example, a rectangle has two lines of symmetry

2D shapes symmetry image 1

and has order 2 rotational symmetry.

2D shapes symmetry image 2

Step-by-step guide: Symmetry

Area is a measure of how much space there is inside of a 2 dimensional shape.

Here are formulae we need to remember to calculate the area of certain 2D shapes.

These are seen in the table below.

2D shapes area image 1

Step-by-step guide: How to work out area

The perimeter is the total distance around the outside of a 2D shape.

For example, let’s find the perimeter of the triangle.

2D shapes perimeter image 1

For example, let’s find the perimeter of the rectangle.

The opposite sides of a rectangle are equal, a and b are the side lengths.

2D shapes perimeter image 2

For example, let’s find the perimeter of the circle.

The perimeter of a circle is known as the circumference of a circle.

2D shapes perimeter image 3

The circumference of this circle is

Step-by-step guide: How to work out perimeter

  • Circles, sectors and arcs

Circles are round plane figures whose boundaries consist of points equidistant from a fixed point (the centre of the circle).

2D shapes circles, sectors and arcs image 1

As well as the area and circumference of a circle we can also work out the following.

Step-by-step guide: Circles, sectors and arcs

  • Parts of a circle

The parts of a circle have specific names and properties which you need to know for all circle related questions. An important fact to remember is that the radius of a circle is half of its diameter.

2D shapes circles, sectors and arcs image 2

Step-by-step guide: Parts of a circle

  • Area of a sector

The area of a sector is part of the area of a circle.

It can be found by using the formula \frac{\theta}{360} \times \pi r^{2}.

2D shapes circles, sectors and arcs image 3

For example,

2D shapes circles, sectors and arcs image 4

The area of this sector is

Step-by-step guide: Area of a sector

See also: Sector of a circle

The arc of a circle is part of the circle’s circumference.

It’s length can be found using the formula \frac{\theta}{360} \times \pi d.

2D shapes circles, sectors and arcs image 5

The arc length of this sector is

Step-by-step guide: Arc length

See also: Arc of a circle

  • Perimeter of a sector

To find the perimeter of a sector you need to find the arc length and then add it to the two straight sides which are both radii (i.e. the length around the outside of the sector).

2D shapes circles, sectors and arcs image 7

The perimeter of this sector is

Step-by-step guide: Perimeter of a sector

  • Segment of a circle

A segment of a circle is created by an arc length and a chord.

You may have to find its area using a combination of mathematical rules such as trigonometry or Pythagoras’ theorem.

2D shapes circles, sectors and arcs image 9

Step-by-step guide: Segment of a circle

  • Equation of a circle

The equation of a circle (at GCSE) can be given in the form below

2D shapes circles, sectors and arcs image 10

Step-by-step guide: Equation of a circle

How to use 2D shapes

We can use 2D shapes in lots of different ways.

We will learn about:

Explain how to use 2D shapes

Explain how to use 2D shapes

Area of 2D shapes worksheet

Get your free 2D shapes worksheet of 20+ area of 2D shapes questions and answers. Includes reasoning and applied questions.

2D shapes examples

Example 1: regular / irregular polygons.

The shape ABCDE below is made from two scalene triangles, and one isosceles triangle. M is a midpoint on the line CD . AM is a line of symmetry.

2D shapes example 1 image 1

Determine what type of polygon ABCDE is and determine if it is regular or irregular.

  • State / calculate the number of sides of the polygon.

The polygon ABCDE has 5 sides so it is a type of pentagon.

2 Determine the size of the angles / side lengths within the polygon.

As triangle ACD is isosceles and AM is a line of symmetry, angle ACD = angle ADC = 52^{o}.

As the sum of angles in a triangle is 180^{o},

angle CAD = 180-(52+52)=76^{o}.

As AM is a line of symmetry, triangles ABC and ACD must be congruent, sharing the same angles and side lengths. This means that,

  • Angle BCA = angle ADE =56^{o}
  • Angle DAE = angle CAB =16^{o}

Again, as the sum of angles in a triangle total 180^{o},

angle AED = 180-(56+16)=108^{o}.

This is the same for angle ABC as it is symmetrical to angle AED and therefore equal.

We now have all of the following angles,

2D shapes example 1 image 2

3 Recognise the other properties of the polygon.

For a pentagon to be regular, all of the interior angles must be the same and side lengths must be the same.

Furthermore, as the interior angle sum of a pentagon is 540^{o}, each interior angle of a regular pentagon is equal to

Adding the angles at each vertex together, we have

2D shapes example 1 image 3

Each interior angle of the polygon ABCDE is equal to 108^{o}.

However, the triangles AED and ABC are scalene. Therefore, AB has a different length to BC .

The interior angles are equal but the side lengths are not equal.

The polygon is an irregular pentagon.

Example 2: types of quadrilateral

Determine what type of quadrilateral ABCD is below.

2D shapes example 2 image 1

Determine the size of the angles / side lengths within the quadrilateral.

All four side lengths are equal to 9cm with two pairs of parallel sides.

Angle BCD = 48+48=96^o and so ABCD cannot be a square.

CDE is a triangle. As the sum of angles in a triangle total 180^{o},

angle CED = 180-(42+48)=90^{o}.

Labelling this on the diagram, we have

2D shapes example 2 image 2

Recognise the other properties of the polygon.

As vertically opposite angles are equal, angle AED = angle CED = 90^{o}.

As the sum of angles on a straight line total 180^{o},

Angle AED = 180-90=90^{o}.

This is also true for angle BEC .

We therefore have the diagonals intersecting at 90 degrees.

2D shapes example 2 image 3

ABCD is a rhombus.

Remember: The properties of a rhombus are,

  • Four equal sides
  • Opposing sides are parallel
  • Two opposing pairs of equal angles
  • Diagonals bisect each other at 90 degrees
  • Two lines of symmetry
  • Rotational symmetry of order 2

Example 3: symmetry

State the number of lines of symmetry for a regular hexagon.

2D shapes example 3 image 1

Locate the centre of the 2D shape.

To locate the centre of a shape with an even number of vertices, draw a pair of straight lines connecting two opposing vertices.

2D shapes example 3 image 2

Use a ruler to visualise a horizontal and/or vertical line of symmetry through the centre of the shape.

The regular hexagon has a vertical line of symmetry.

problem solving 2d shapes

The regular hexagon has a horizontal line of symmetry.

2D shapes example 3 image 4

Continue to rotate the ruler around 180 degrees over the centre point to cover all sides and vertices.

Line of symmetry 3.

2D shapes example 3 image 5

Line of symmetry 4.

2D shapes example 3 image 6

Line of symmetry 5.

2D shapes example 3 image 7

Line of symmetry 6.

2D shapes example 3 image 8

A regular hexagon has 6 lines of symmetry.

2D shapes example 3 image 9

Example 4: area of an isosceles triangle

Calculate the area of the triangle below.

2D shapes example 4 image 1

Identify the base and perpendicular height of the triangle.

The two values that are perpendicular to one another are the 12cm along the base, and the vertical height of 8cm.

The 10cm is not required to find the area of this triangle.

Write the area formula.

The area of a triangle formula is,

\text{Area of a triangle}=\cfrac{\text{base }\times\text{height}}{2}.

Substitute known values into the area formula.

As the base = 12cm and the height = 8cm, we have

\text{Area of a triangle }=\cfrac{12\times{8}}{2}.

Solve the equation.

Write the answer, including the units.

As the units of length are in centimetres, the units of area are square centimetres.

The area of the triangle is 48cm^{2}.

Example 5: circumference of a circle

Calculate the circumference of a circle with a radius of 4cm. Write your answer correct to 2 decimal places.

2D shapes example 5 image 1

Find the radius or diameter of the circle.

The radius of the circle is 4cm.

Use the relevant formula to calculate the circumference of the circle.

The formula for the circumference of a circle (C) in terms of the radius (r) is

Substituting r=4 into the formula, we have

\begin{aligned} C&=2\times\pi\times{4} \\\\ &=8\times\pi \\\\ &=8\pi \\\\ &=25.13274123 \\\\ &=25.13\text{ (2dp)} \end{aligned}

Give your answer clearly with the correct units.

The circumference of the circle is 25.13cm \ (2dp).

Example 6: perimeter of compound shapes – real life problem

A car park needs a new boundary fence installing. A sketch of the car park is given below.

2D shapes example 6 image 1

Determine the length of the boundary wall (the car park entrance/exit must not be included in this value).

Add all the side lengths.

A few of the side lengths are missing and so we need to calculate these lengths first.

As AF = 8.8m and DE = 2.9m, the length of BC can be calculated by subtracting DE from AF ,

8.8-2.9 = 5.9m.

As AB = 12.4m and CD = 3.5m, the length of EF can be calculated by adding AB and CD together,

12.4+3.5=15.9m.

Writing these two measurements onto the diagram, we have

2D shapes example 6 image 2

The perimeter is the sum of the side lengths and so we have the sum,

12.4+5.9+3.5+2.9+15.9+8.8=49.4m.

Note: For an L shape, this is the same as doubling the sum of the height and the width ((8.8+15.9)\times{2}=49.4m).

Write the final answer with the correct units.

As we need to calculate the boundary excluding the entrance/exit, we need to subtract the width of the entrance from the total perimeter.

49.4-2.4=47m

The perimeter of the car park excluding the entrance/exit is 47m.

Example 7: area of a sector

A circular cake is cut into 8 equal slices as shown below.

2D shapes example 7 image 1

Calculate the area of the top of one slice of cake.

Find the length of the radius \textbf{r} .

The radius r = 9.5cm.

Find the size of the angle creating the sector

The angle of the sector is one eighth of a full turn. As a full turn is 360 degrees,

360\div{8}=45.

The angle of the sector is 45^{o}.

Substitute the value of the radius and the angle into the formula for the area of a sector.

The formula for the area of the sector is

\text{Area of a sector }=\frac{\theta}{360}\times\pi{r}^{2}

where \theta is the angle of the sector, and r is the radius of the overall circle.

Substituting \theta=45^{o} and r = 9.5cm, we have

\begin{aligned} \text{Area of a sector }&=\frac{45}{360}\times\pi\times{9.5}^{2} \\\\ &=\frac{1}{8}\times\pi\times{90.25} \\\\ &=11.28125\pi \\\\ &=35.44109212 \\\\ &=35.44\text{cm}^{2}\text{ (2dp)} \end{aligned}

Clearly state your answer.

The area of the top of the cake slice is 35.44cm^{2}.

Example 8: equation of a circle

Determine the equation of the unit circle, centred at the origin.

2D shapes example 8 image 1

Write the general equation of a circle.

The general equation of a circle is x^{2}+y^{2}=r^{2}.

State any variables you know.

The radius of the unit circle is 1. We can also see this as the centre of the circle lies at the point (0,0) and a coordinate on the circumference of the circle is (1,0), giving us a radius of 1.

Substitute any values you know into the equation.

Substituting r=1 into the equation of a circle, we have

x^{2}+y^{2}=1^{2}.

Use the information you have to solve the problem.

Evaluating 1^{2} we get 1^{2}=1 \times 1=1.

Clearly state the answer.

The equation of the unit circle, centred at the origin is x^{2}+y^{2}=1.

Common misconceptions

  • Rotational symmetry/lines of symmetry

Lines of symmetry are often confused with rotational symmetry. A line of symmetry on a two-dimensional shape divides the shape equally into two symmetrical pieces. Rotational symmetry is the number of times a shape fits into itself when rotated around its centre.

  • Confusing perimeter with area

Remember, perimeter is distance around the outside of a shape, whilst area is the space inside the shape.

  • Angles properties

Ensure you have a good understanding of the different types of angles (for example, acute angles and right angles) along with how to calculate angles in polygons and angles in parallel lines. Getting these confused can lead to misconceptions when problem solving.

Practice 2D shapes questions

1. Which of the following shapes has 2 lines of symmetry and rotational symmetry order 2.

Parallelogram

GCSE Quiz False

A parallelogram has no lines of symmetry and rotational symmetry order 2.

A square has 4 lines of symmetry and rotational symmetry order 4.

A kite has 1 line of symmetry and no rotational symmetry.

2D shapes practice question 1

2. The rectangle has a perimeter of 42cm. Find x.

2D shapes practice question 2

Form an equation for the perimeter.

Solve the equation, to find x=4.

3. Find the area of the isosceles triangle.

2D shapes practice question 3

This is an isosceles triangle. We can split it vertically to form two identical triangles with base 6cm, and hypotenuse 10cm.

We then use Pythagoras’ theorem to find the height of the triangle.

Then we can use the formulae for the area of a triangle, and multiply the height by the base (remembering to use the base as 12cm for the area of the whole triangle) then divide by 2.

4. The sector has an area of \frac{27}{2} \pi cm^2, Find the perimeter in terms of \pi.

2D shapes practice question 4

To find the perimeter of the sector we need to calculate the arc length. To do this we need to know the diameter of the sector.

We can work backwards using the formula for the area of a sector to find the radius to help us find the diameter.

Substituting in what we know,

Now we can calculate the arc length. If the radius is 9cm, the diameter must be 18cm.

For the total perimeter we need to add the two radii to the arc length.

5. What is the sum of the interior angles of a pentagon?

6. A regular polygon has an interior angle of 165^{\circ}. How many sides does it have?

The interior and exterior angle of a polygon sum to 180^{\circ}. We can find the exterior angle using this fact.

To find out the number of sides we then do,

2D shapes GCSE questions

1. The hexagon ABCDEF has one line of symmetry.

2D shapes gcse question 1

Angle FAB = angle ABC = 110^{\circ}.

Angle AFE = angle BCD .

Angle FED = angle CDE .

Angle CDE : angle BCD = 3 : 2.

Find the size of angle AFE .

Indicating sum of angles is 720^{\circ} or 540^{\circ} if line of symmetry used to form a pentagon.

Finding the sum of AFE and FED is 250^{\circ}.

Use of ratio 3:2 or sight of 3x and 2x.

Finding x=50.

Angle AFE = 100^{\circ}.

2. The perimeter of the rectangle is twice the perimeter of the isosceles triangle.

2D shapes gcse question 2

Find the area of the rectangle.

Correct expression for perimeter of rectangle or triangle,

Forming an equation linking the perimeters.

For example, 6x+2=2(2x+5) or equivalent.

Solving equation to get x=4.

Correctly substituted into length and width of rectangle.

Area given as 42cm^{2}.

3. The sector has a perimeter 25cm and radius 6cm.

2D shapes gcse question 3

Find the size of angle x. Give your answer to 3 significant figures.

Sight of arc length given as 13cm.

Process to use formula \frac{x}{360} \times 2 \times \pi \times 6=13

Learning checklist

You have now learned how to:

  • Identify lines of symmetry and order of rotational symmetry in 2D shapes
  • How to work out the perimeter
  • Work out the area of triangles, quadrilaterals and circles
  • Work out the area of compound shapes
  • Identify and apply circle definitions and properties
  • Calculate the circumference of a circle
  • Calculate the area and arc length of a sector 
  • Distinguish between regular and irregular polygon

The next lessons are

  • Pythagoras theorem

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A 2D shape is a flat shape that has only two dimensions - length and width, with no thickness or depth, that is the reason why it is called a two-dimensional shape . For example, a sheet of paper is two-dimensional in shape. It consists of a length and a width but does not have any depth or height. Some common 2D shapes are squares, rectangles, triangles, circles, and hexagons. Let us learn more about 2D geometric shapes , the difference between 2D and 3D shapes, along with some 2D shapes examples on this page.

What are 2D Shapes?

In geometry, 2D shapes (2 dimensional shapes) can be defined as plane figures that are completely flat and have only two dimensions - length and width. They do not have any thickness and can be measured only by the two dimensions. In comparison to these, a 3D (three-dimensional) shape has three dimensions - length, width, and height. For example, a dice is three-dimensional because it consists of a length, a width, and a height. Some common 3D shapes are cuboids, cones, pyramids, and cylinders.

2D Shapes Definition

A polygon is a 2 dimensional shape made up of straight line segments which are connected with each other, thus giving it a closed shape. A circle, square, rectangle, and triangle are some examples of two-dimensional shapes and these shapes can be drawn on paper. All the 2 dimensional shapes have sides, vertices (corners), and interior angles, except for the circle, which is a curved figure. 2D shapes with at least three straight sides are called polygons and these include triangles, squares, and quadrilaterals . The figure given below shows a list of 2D shapes that we commonly come across.

List of 2D Shapes - circle, triangle, square, rectangle, pentagon

Types of 2D Shapes - Regular and Irregular 2D Shapes

A 2D shape can be classified as regular or irregular based on the length and the interior angles :

  • A 2 dimensional shape (2D shape) is said to be regular if all its sides are equal in length and all its interior angles measure the same.
  • A two dimensional shape (2D shape) is irregular if all the sides are of unequal length and all its angles are of unequal measures.

Observe the following figure which shows the difference between regular and irregular two dimensional shapes. It shows a list of 2d shapes.

Regular and Irregular 2D Shapes

Difference Between 2D and 3D Shapes

The following table shows a comparison between 2D and 3D shapes.

Properties of 2D Shapes

2-D shapes are flat and can be drawn on a sheet of paper. There are different types of regular and irregular two dimensional shapes like a circle, triangle, square, rectangle, pentagon, and hexagon. Let us learn about a few of them along with their properties.

2D Shapes Names

There are many 2d shapes in geometry. However, a few of them are commonly seen around us and are discussed below. Here is a list of 2D shapes examples along with their properties.

A circle is a closed 2 Dimensional shape made up of a curved line with no corners or edges. Some real-life examples of the circle are coins, wheels, and pizzas. A circle consists of various parts like the radius, diameter, circumference, and so on.

Properties of a Circle

Observe the properties of a circle to identify it as a two-dimensional shape.

  • Circles are completely round and made up of a single curved line.
  • The circumference is the length of the boundary of the circle.
  • The radius is the distance from the center of the circle to the boundary of the circle.
  • The diameter is a line segment that goes straight across the circle, through the center. It is the longest possible line that can be drawn inside a circle and is twice the length of the radius.

Observe the following figure to see the different parts of a circle.

2D shape - 2D circle

A triangle is a 2 dimensional shape with three sides and three vertices (corners).

Properties of a Triangle

Observe the properties of a triangle to identify it as a two dimensional shape.

  • A triangle is a closed shape with 3 sides, 3 vertices and 3 angles.
  • It is a polygon whose interior angles add up to 180°.

Some real-life examples of a triangle are traffic signs, pyramids, and nachos. The following figure shows the sides and vertices of a triangle.

Parts of a 2D Triangle - 2D shape

A square is a 2 dimensional shape with four equal sides and each angle is equal to 90˚. Some of the real-life examples of a square are: a loaf of bread and a chessboard.

Properties of a Square

Observe the properties of the given square PQSR to identify it as a 2D shape.

  • All four sides are equal, i.e., side PQ = QS = RS = PR
  • Side PQ is parallel to RS.
  • Side PR is parallel to QS.
  • All four internal angles measure 90 ̊.

2D Square - 2D shape

A rectangle is a 2D shape with four sides in which the opposite sides are equal and parallel, and all the four angles measure 90 ̊. Some of the real-life examples of a rectangle are table tops, blackboards, cardboard, etc.

Properties of a Rectangle

Observe the properties of the given rectangle ABCD to identify it as a 2D shape.

  • Side AB = DC
  • Side AD = BC
  • Side AB is parallel to DC.
  • Side AD is parallel to BC.
  • All four angles measure 90 ̊.

2D shape - 2D Rectangle

Area and Perimeter of 2D Shapes

The area of a 2D shape is the space enclosed within it. The perimeter of a 2D shape is the total length of its boundary. The following table shows the formulas that are used to calculate the area and perimeter of a few common 2D shapes:

Important Notes

Here are a few important notes that should be remembered while studying 2D shapes.

  • Every 2D shape can be measured by its width and length.
  • All the 2D shapes are completely flat.

2d Shapes Real Life Examples

A few real-life examples of 2d shapes are given below:

  • A currency note which has the shape of a rectangle
  • A chess board that has the shape of a square.
  • A cookie in the shape of a circle.
  • A honeycomb with little hexagons in it.

☛ Related Articles

  • Geometric Shapes
  • Plane Shapes
  • Solid Shapes
  • Visualizing Solid Shapes
  • 2D and 3D Shapes Worksheets

2D Shapes Examples

Example 1: Does a rectangle come under the category of 2D shapes? The length of a rectangle is 32 m and the width is 20 m. Find the perimeter of this rectangle.

Solution : Yes, a rectangle comes under the category of 2D shapes. The length of the given rectangle = 32 m; width = 20 m

We know that the perimeter of a rectangle = 2 (length + width)

P = 2 (32 + 20) = 2 (52) = 2 × 52 = 104 m

Therefore, the perimeter of the rectangle is 104 m.

Example 2: Does a circle come under 2D shapes? Find the area of a circle whose radius is 6 cm.

Area of the circle = π × r 2

= 3.14 × 6 2

= 3.14 × 36

Therefore, the Area of the circle = 113.04 square cm

Example 3: Identify the 2D shapes from the following. Circle, rectangular box, Rubik's cube, hexagon

Among the given shapes, a circle and a hexagon are 2D shapes because they do not have any thickness or depth. A rectangular box and a Rubik's cube are 3D shapes because they have 3 dimensions, (length, width, and height).

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Practice Questions on 2D Shapes

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FAQs on 2D Shapes

What are 2d shapes in maths.

A 2D (two-dimensional) shape can be defined as a plane figure that can be drawn on a flat surface. It has only two dimensions - length and width, with no thickness or depth. Some of the basic 2D shapes are rectangle, pentagon, quadrilateral, circle, triangles , square, octagon , and hexagon.

What are 2D Shapes and 3D Shapes?

A flat shape that has two dimensions - length and width, is a 2D shape, whereas, a shape that has three dimensions - length, width, and depth (height) is a 3D shape .

What are the Properties of 2D Shapes?

A 2D shape is a flat shape that can be drawn on a plane surface. As the name suggests, it has only two dimensions of length and width without any thickness. While some 2D shapes have sides and vertices, others are made up of curved lines.

How many 2D Shapes are there?

There are many different kinds of 2D shapes, like the rectangle, pentagon, quadrilateral, circle, triangle, square , octagon and hexagon . These are flat shapes that can be drawn on a flat surface.

How to find the Area of 2D Shapes?

The area of a 2D shape is the space occupied by it. Since there are different kinds of 2D shapes like circles, squares, rectangles, etc., there are different formulas used to find their areas. For example, the area of a circle can be calculated with the help of the formula, Area = πr 2 , where 'r' is the radius of the circle and (pi) π is a constant with a value of 22/7. The area of a square is calculated with the formula, Area = side × side. The area of 2D shapes is expressed in square units.

How to Teach 2D Shapes?

Teaching 2D shapes is easy if the concept is introduced in the early years. First of all, the names of the basic shapes can be made to learn. Then, the students should be asked to identify the names of the shapes from a list of 2d shapes. Another interesting way can be by asking them to spot the shapes around them.

Name the 2D Shapes around the House.

Some commonly seen 2d shapes that can be seen in the house are, the rectangular surface of a notebook (rectangle), the circular shape of a clock (circle), the circular shape of a pizza, a square-shaped window (square)

Is Circle a 2D Shape?

Yes, a circle is a 2D shape because it exists on a plane with no depth. It is a curved shape that has no corners or edges.

Which 2D Shape has 4 Sides?

A quadrilateral is a 2D shape that has four sides. For example, quadrilaterals like squares and rectangles are 2D shapes with 4 sides.

Is Oval 2D or 3D Shape?

Oval is a 2D shape because it exists on a plane and has no depth. It is a curved figure with no edges or corners.

A plane or 2D shape has 2 Dimensions (such as width and height) but no thickness .

Regular Polygons

A polygon is a 2D shape with straight sides. To be a regular polygon all the sides and angles must be the same:

Other Common Polygons

These are 2D shapes, and they are polygons, but not regular polygons:

Curved Shapes

These are also 2D shapes that are not polygons because they have curves:

There are plenty of 3D shapes too!

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  • 3rd Grade Math Worksheets

Free printable 3rd Grade 2D shapes worksheets for math practice

Welcome to this amazing world of teaching 3 rd graders about 2D shapes. In this article, we will provide you with everything you need to know about 2D shapes for 3rd grade, including what they are, how to identify them, and how to compare and classify them. However, we encourage you to visit Mathskills4kids.com and find a variety of free printable 3rd Grade 2D shapes worksheets for extra math practice at home and in the classroom.

Are you looking for a fun and easy way to help your 3rd graders learn about 2D shapes ? Do you want to boost their math skills and confidence with engaging and interactive activities? If you answered yes to these questions, you are in the right place!

Download and use our worksheets right away!

Let’s get started!

Why 2D shapes matter for 3rd Graders

There are so many reasons why 2D shapes matter to 3 rd graders . First, they are everywhere in our world. They are the building blocks of many objects, patterns, designs, and art. Learning about 2D shapes helps 3rd graders develop spatial awareness, geometry, measurement, and problem-solving skills.

It also prepares them for more advanced math topics in the future, such as area, perimeter, fractions, and algebra.

An amazing unique thing about these Mathskills4kids’ 3 rd Grade 2D shapes worksheets is that they cover various 2D shapes concepts that, by the end of 3rd grade, students will be able to:

  • Recognize and name common 2D shapes such as circles, squares, rectangles, triangles, pentagons, hexagons, octagons, etc.
  • Describe the properties of 2D shapes such as sides, vertices (corners), angles, parallel and perpendicular lines, symmetry, etc.
  • Compare and classify 2D shapes based on their properties and attributes .
  • Identify and draw lines of symmetry in 2D shapes .
  • Identify congruent (same size and shape) and similar (same shape but different size) 2D shapes .
  • Identify and perform transformations such as reflection (flip), rotation (turn), and translation (slide) on 2D shapes.
  • Apply 2D shapes knowledge to real-life situations and problems .

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Free printable 3rd Grade 2D shapes worksheets for math practice - Counting sides and vertices in two-dimensional shapes

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What are 2d shapes, and how to identify them.

A 2D shape is flat with only two dimensions: length and width. It does not have any thickness or depth. You can draw a 2D shape on paper or a screen.

To identify a 2D shape , you need to look at its features, such as:

  • The number of sides it has . A side is a straight or curved line that forms the edge of a shape.
  • The number of vertices it has . A vertex (plural: vertices) is a point where two or more sides meet. It is also called a corner.
  • The type and size of angles it has . An angle is the amount of turn between two sides. There are three types of angles : acute (less than 90 degrees), right (exactly 90 degrees), and obtuse (more than 90 degrees).
  • The length of its sides . Some shapes have equal sides (all the same length), while others have unequal sides (different lengths).
  • The relationship between its sides . Some shapes have parallel sides (always the same distance apart), while others have perpendicular sides (meet at right angles). Some shapes have both parallel and perpendicular sides.

Types of 2D Shapes and their Properties

There are many types of 2D shapes , but here are some of the most common ones that you will encounter in our free printable 3rd Grade 2D shapes worksheets math practice :

  • Circle : A circle is round with no sides or vertices. It has one curved line that is always the same distance from the center. The distance from the center to any point on the circle is called the radius. The distance across the circle through the center is called the diameter. The distance around the circle is called the circumference.
  • Square : A square is a four-sided shape with four equal sides and four right angles. It has four vertices. A square is a special type of rectangle that has all equal sides.
  • Rectangle : A rectangle is a four-sided shape with two pairs of equal sides and four right angles. It has four vertices. A rectangle can be a square if all its sides are equal.
  • Triangle : A triangle is a three-sided shape with three vertices and angles. The sum of the angles in any triangle is always 180 degrees. There are different types of triangles based on their sides and angles:
  • Equilateral triangle : A triangle with three equal sides and three equal angles (60 degrees each).
  • Isosceles triangle : A triangle with two equal sides and two equal angles opposite them.
  • Scalene triangle : A triangle that has no equal sides or angles.
  • Right triangle : A triangle with one right angle and two acute angles.
  • Acute triangle : A triangle that has three acute angles.
  • Obtuse triangle : A triangle with one obtuse angle and two acute angles.
  • Pentagon : A pentagon is a five-sided shape with five vertices and five angles. The sum of the angles in any pentagon is always 540 degrees. There are different types of pentagons based on their sides and angles:
  • Regular pentagon : A pentagon has five equal sides and five equal angles (108 degrees each).
  • Irregular pentagon : A pentagon that has no equal sides or angles.
  • Hexagon : A hexagon is a six-sided shape with six vertices and six angles. The sum of the angles in any hexagon is always 720 degrees. There are different types of hexagons based on their sides and angles:
  • Regular hexagon : A hexagon has six equal sides and six equal angles (120 degrees each).
  • Irregular hexagon : A hexagon that has no equal sides or angles.
  • Octagon : An octagon is an eight-sided shape with eight vertices and eight angles. The sum of the angles in any octagon is always 1080 degrees. There are different types of octagons based on their sides and angles:
  • Regular octagon : An octagon with eight equal sides and eight equal angles (135 degrees each).
  • Irregular octagon : An octagon that has no equal sides or angles.

How to compare and classify 2D shapes

To compare 2D shapes , look at their properties and their similarities or differences. For example, you can compare two shapes by their number of sides, vertices, type, size of angles, length of sides, relationship between sides, etc.

To classify 2D shapes , you need to group them into categories based on their properties. For example, you can classify shapes by their number of sides (quadrilaterals, pentagons, hexagons, etc.), by their type of angles (right, acute, obtuse, etc.), by their symmetry (symmetrical, asymmetrical), etc.

Fun activities to practice 2D shapes skills

Learning about 2D shapes can be fun and engaging with these activities:

  • Shape Hunt : Go on a shape hunt around your house or neighborhood and find as many 2D shapes as possible. Take pictures or draw them in a notebook. Label each shape with its name and properties.
  • Shape Art : Use different 2D shapes to create your artwork. You can cut out shapes from paper or cardboard or use stickers, stamps, or magnets. Arrange the shapes into patterns, designs, or pictures. You can also use shapes to make letters, numbers, or words.
  • Shape Puzzles : Cut out different 2D shapes from paper or cardboard and mix them up. Then try to put them back together to form larger shapes. To make shape puzzles, you can also use tangrams, pattern blocks, or geoboards.
  • Shape Bingo : Make your bingo cards with different 2D shapes on them. Then call out the names of the shapes and mark them on your card. The first one to get a row, column, or diagonal wins!
  • Shape Memory : Make pairs of cards with matching 2D shapes. Shuffle the cards and place them face down on a table. Take turns flipping over two cards at a time and try to find the matching pairs. If you find a pair, keep it and go again. If not, turn them back over and let the next player try. The one with the most pairs at the end wins!

Our selection of Mathskills4kids’ free printable 3 rd Grade 2D shapes worksheets for math practice

We have selected a variety of free printable 3 rd -grade 2D shapes worksheets from Mathskills4kids.com that will help your 3 rd graders practice their 2D shapes skills in a fun and engaging way. These worksheets cover different topics related to 2D shapes, such as:

  • Identify two-dimensional shapes : In this worksheet, students will name the 2D shapes shown in the pictures. They can choose from a word bank that includes a circle, square, rectangle, triangle, pentagon, hexagon, octagon, trapezoid, parallelogram, and rhombus.
  • Counting sides and vertices in 2-dimensional shapes : In this worksheet, students will count how many sides and vertices each 2D shape has and write the numbers in the boxes. They can use the shape names as a hint.
  • Identify open and closed shapes : In this worksheet, students will identify which shapes are open and closed. They have to color the open shapes red and the closed shapes blue.
  • Identifying a polygon : In this worksheet, students will identify which shapes are polygons and which are not. They have to color the polygons green and the non-polygons yellow.
  • Identifying points, lines, line segments, and rays : In this worksheet, students will identify what kind of geometric element is shown in each picture. They have to write P for point, L for line, LS for line segment, or R for ray.
  • Identifying angles greater than, less than, or equal to a right angle : In this worksheet, students will identify the angle type shown in each picture. They have to write > for greater than a right angle, < for less than a right angle, or = for equal to a right angle.
  • Parallel, perpendicular, and intersecting lines : In this worksheet, students will identify the relationship between the pairs of lines shown in each picture. They will write P for parallel, PE for perpendicular, or I for intersecting.
  • Reflection, rotation, and translation : In this worksheet, students will identify what transformation has been applied to each shape. They will write R for reflection, RO for rotation, or T for translation.
  • How to identify congruent shapes : In this worksheet, students will identify which pairs of shapes are congruent and which are not. They have to color the congruent pairs green and the non-congruent pairs orange.
  • Symmetry : In this worksheet, students will identify symmetrical shapes from asymmetrical ones. They have to draw a line of symmetry on each symmetrical shape and color it purple.

How to use 2D shapes worksheets effectively to boost 3rd graders’ math skills

These worksheets are designed to help third graders practice their 2D shapes skills in a fun and engaging way. However, they are not meant to replace direct instruction or hands-on activities. Here are some tips on how to use 2D shapes worksheets effectively to boost 3rd graders’ math skills :

  • Before giving the worksheets to your students, review the concepts and vocabulary related to 2D shapes with them. You can use flashcards, posters, or interactive games to reinforce learning.
  • Explain the instructions clearly and model how to complete each type of worksheet. You can use a projector or a smart board to show examples and demonstrate how to solve the problems.
  • Provide feedback and guidance as your students work on the worksheets. You can check their answers with an answer key or use self-checking worksheets with QR codes or hidden messages.
  • Encourage your students to use different strategies and tools to solve the problems. You can provide them with manipulatives such as geoboards or pattern blocks or let them use online tools such as virtual manipulatives or geometry apps.
  • Differentiate the worksheets according to your student’s needs and abilities. You can modify the difficulty level, the number of problems, the type of questions, or the worksheet format to suit your student’s learning styles and preferences.
  • Extend the learning beyond the worksheets by asking your students to apply their 2D shapes skills in real-life scenarios. You can ask them to find examples of 2D shapes in their environment, create them using different materials or design their worksheets for their peers.

Applying 2D shapes in real-life scenarios

One of the best ways to help your students understand and appreciate 2D shapes is to show them how they are used in real-life scenarios. Here are some examples of how you can connect 2D shapes to different subjects and topics:

  • Art : You can ask your students to create artwork using different 2D shapes. You can inspire them with examples of famous artists who used geometric shapes in their paintings, such as Piet Mondrian, Wassily Kandinsky, or Paul Klee. You can also challenge them to create optical illusions or tessellations using 2D shapes.
  • Science : You can ask your students to explore the properties and characteristics of 2D shapes with science concepts . For example, you can ask them to investigate how light reflects and refracts on different 2D shapes , how sound waves travel through different 2D shapes, or how forces affect the stability and strength of different 2D shapes .
  • Social Studies : You can ask your students to identify and compare the 2D shapes used in different cultures and civilizations. For example, you can ask them to research how ancient Egyptians used 2D shapes in their architecture, art, and writing, how Native Americans used 2D shapes in their symbols and patterns, or how the Chinese used 2D shapes in their paper cutting and lantern making.
  • Language Arts : You can ask your students to use 2D shapes as a creative writing prompt. For example, you can ask them to write a story based on a shape they draw or choose, a poem using shape words, or a riddle describing a shape without naming it.

Bonus: Find more resources to reinforce 2D shapes learning in Third Grade here!

If you are looking for more resources to reinforce 2D shapes learning in third grade , you are in luck! We have compiled a list of some of the best online resources that offer free games, videos, quizzes, and activities related to 2D shapes.

Here are some of our favorites:

  • Math is Fun : This website has a lot of information and examples about 2D shapes, their properties, and how to classify them. You can also find interactive tools to explore shapes and measure angles. https://www.mathsisfun.com/geometry/plane-geometry.html
  • Khan Academy : This online platform has a series of videos and exercises that cover 2D shapes and other geometry topics. You can watch the videos to learn new concepts, practice what you learned with quizzes, and track your progress. https://www.khanacademy.org/math/cc-third-grade-math/imp-geometry
  • com : This website has a variety of games and worksheets that you can use to practice 2D shapes in a fun way. You can play matching games, puzzles, bingo, and more. You can also print out worksheets to color, cut, and glue shapes. https://www.education.com/resources/third-grade/geometry/

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Conclusion: Keep Practicing and Have Fun

We hope you enjoyed this article about free printable 3 rd -grade 2D shapes worksheets for math practice . We hope these worksheets will help your students improve their 2D shapes skills and have fun along the way.

Remember to check out our other articles and website, Mathskills4kids.com , for more free printable worksheets for third graders on different math topics. Happy learning!

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2D Shapes Worksheets

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2D Shapes Worksheet with Rainbow

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Exploring Geometry with 2D Shape Worksheets

Incorporating geometry worksheets with 2D figures into your math lessons is a fantastic way to teach young learners about basic shapes, their properties, symmetry, and more. These engaging, educational tools help children create a deep understanding of geometry, laying the groundwork for more advanced math concepts in the future.

Educational Benefits of 2D Shape Worksheets for Kindergarten

Geometry worksheets focusing on 2D figures are relevant and highly useful in educational settings for several compelling reasons.

  • Foundation of Geometry: 2D figures serve as the foundational building blocks of geometry. Understanding these formations is essential for comprehending more advanced geometric concepts, such as angles, polygons, and spatial relationships.
  • Visual Learning: Many students are visual learners, and 2D shape worksheets provide a visual means of teaching geometry. Visual aids, like diagrams, enhance comprehension and retention of geometric concepts.
  • Hands-on Learning: A shape identification worksheet worksheet often includes hands-on activities that engage learners in drawing, coloring, cutting, and pasting a shape. These tactile experiences help solidify their understanding of a shape and its properties.
  • Progressive Learning: Free printable 2D shapes worksheets for kindergarten can be tailored to different grade levels and abilities, from kindergarten to upper elementary grades. They can introduce a basic shape and gradually progress to more complex concepts, accommodating learners' developmental stages.
  • Problem Solving: A worksheet can include problem-solving tasks that challenge learners to apply their knowledge of 2D figures in real-world scenarios. This encourages critical thinking and the practical application of geometry skills.
  • Assessment and Feedback: Teachers can use two dimensional figures worksheets for formative and summative assessments to gauge students' understanding. A worksheet can provide opportunities to identify areas where your class may need additional support or enrichment.
  • Differentiation: Worksheets on lines of symmetry in 2d shapes can be customized to meet the specific needs of diverse learners. Teachers can modify the complexity of questions or provide additional guidance to cater to individual learning styles and abilities.
  • Home Learning: In addition to classroom use, 2 dimensional shapes worksheets are suitable for homework assignments and practice worksheets, allowing learning to reinforce shape recognition or identifying different shapes concepts, for example, and involve parents in the educational process.
  • Creative Expression: A worksheet can incorporate creative activities, like shape art or shape stories, fostering artistic expression while reinforcing geometry concepts.
  • Preparation for Advanced Math: Proficiency in 2D figures lays the groundwork for advanced math topics, such as geometry, trigonometry, and calculus. A strong foundation in geometry is essential for success in higher-level mathematics.

Worksheet Activity Ideas

  • Shape Scavenger Hunt (Kindergarten): Have your class find everyday objects in their surroundings that match a given shape and create a personal shape collection.
  • Shape Sorting (Shape Identification): Have your class cut out figures and sort them based on attributes like sides or angles, creating a labeled poster. Identifying shape worksheets are suitable for learners of various age groups and grade levels, making them adaptable to both early childhood education and elementary school curricula.
  • Shape Art (Kindergarten): Young students draw creative pictures or designs using a basic 2D shape only, allowing them to practice fine motor skills through drawing.
  • Shape Riddles (Kindergarten): Kids solve basic shape riddles on a worksheet by drawing or naming the matching shape.
  • Shape Exploration: Kids arrange printable shapes to form a composite shape and describe attributes.
  • Shape Story: Kids craft a short story where characters and objects are represented by a 2D shape.
  • Shape Transformations: Have your class cut and rearrange shapes to create a new shape or patterns, discussing transformations.
  • Symmetry Challenge (Lines of Symmetry in 2D Shapes): Kids identify and draw lines of symmetry on a shape, exploring the concept of symmetry.
  • Shape Properties Poster (2D Shapes Properties Worksheets): Assign students a specific shape to make a poster showcasing its properties (e.g. how many sides). This is a great task that offers an opportunity to exercise creativity, while also helping a child learn about other shapes in a fun way through their peers' posters.
  • Shape Attribute Search (2D Shapes Attributes Worksheets): Students find everyday objects or images that match given attributes (e.g. shapes with four equal sides) and paste them on a worksheet.

Steps to Make a 2D Shapes Worksheet

  • Determine Learning Objectives: Clarify the specific two dimensional shapes or concepts you want to teach, such as identifying shapes, understanding properties, or exploring symmetry in a circle, square, oval, triangle, rectangles, or other quadrilaterals.
  • Design Layout and Format: Create a clear and organized worksheet layout with a title, instructions, and space for student responses. Ensure that the format is age-appropriate and visually appealing.
  • Select Shapes and Activities: Choose the 2D shapes or activities that align with your learning objectives. For example, decide if you want students to identify, draw, or calculate properties of shapes.
  • Create Questions and Prompts: Write questions, prompts, or tasks that guide learners in working with the chosen shapes. Include a variety of activities to reinforce comprehension.
  • Incorporate Visuals: Add images or illustrations of the 2D shapes you're focusing on. Visual aids help students better understand and recognize shapes.
  • Proofread and Review: Carefully review the worksheet for accuracy, clarity, and age-appropriateness. Ensure that the questions and instructions are clear, and that the worksheet effectively reinforces the intended learning outcomes.

More Storyboard That Resources and Free Printables

  • Geometric Solids Vocabulary Worksheets
  • Area and Perimeter Worksheets
  • 2D vs. 3D Worksheets
  • Matching Worksheets

How to Make a 2D Shapes Worksheet

Choose one of the premade templates.

We have lots of templates to choose from. Take a look at our example for inspiration!

Click on "Copy Template"

Once you do this, you will be directed to the storyboard creator.

Give Your Worksheet a Name!

Be sure to call it something related to the topic so that you can easily find it in the future.

Edit Your Worksheet

This is where you will include directions, specific images, and make any aesthetic changes that you would like. The options are endless!

Click "Save and Exit"

When you are finished, click this button in the lower right hand corner to exit your storyboard.

From here you can print, download as a PDF, attach it to an assignment and use it digitally, and more!

Happy Creating!

Frequently Asked Questions about 2D Shapes Worksheets

How can i use 2d shapes worksheets to reinforce critical thinking skills in students.

To promote critical thinking, include problem-solving tasks in the worksheets. For example, ask students to calculate the perimeter or area of shapes, identify irregular shapes, or find patterns among shapes.

What are the key properties of 2D shapes, and how can I teach them?

Key properties of 2D shapes include the number of sides, types of angles, and symmetry. Teaching these properties can be done through worksheets that encourage students to count sides, identify angles, and explore lines of symmetry in shapes.

What are some creative ways to teach symmetry using worksheets?

You can teach symmetry using worksheets by providing shapes that students can complete to make them symmetrical. Additionally, you can offer worksheets with objects and ask students to draw the lines of symmetry themselves.

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Teaching in the Heart of Florida

Classifying 2D Shapes with Error Analysis Activities

Geometry is one of my favorite standards to teach, and classifying 2D shapes with these fun error analysis activities makes it even better! I think 3rd graders love it, too – because they’ve been playing with shapes their entire life!

problem solving 2d shapes

Common Core Standards – 3rd Grade

The Common Core standard for this skill is:

3.GA.1: Understand that shapes in different categories (e.g. rhombuses, rectangles, and others) may share attributes (e.g. having four sides) and that the shared attributes can define a large category (e.g. quadrilaterals). Recognize that rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories.

What 3rd Graders Know and Need to Know

Coming into 3rd grade, most students know these geometric shapes:

Now, they need to go a step further and learn about how to classify these shapes into categories such as quadrilaterals and equilaterals . Most importantly, they will learn that polygons are plane figures with angles and at least 3 straight sides and that these shapes can be put into different categories.

2D Shapes Reference Chart

One of the tools that I think really helps students learn the attributes of these shapes and categories is to create an anchor chart with them. But I also like to give each student a Plane Shapes Reference Chart for their math notebook. With these in hand, they pretty quickly learn all the names of the plane shapes along with their attributes.

problem solving 2d shapes

Hands-On 2D Shapes: Sorting and Classifying

Hands-on math activities are a great way to engage students and reinforce their understanding of key math concepts. When it comes to teaching geometry, 2D shapes are a fundamental concept that can be reinforced through hands-on activities. Sorting and classifying 2D shapes is a great way to help students identify their attributes and understand their characteristics.

Using hands-on activities, such as pattern block manipulatives or cut-out shapes, students can sort and classify the shapes based on their attributes, such as the number of sides, angles, and symmetry.

By allowing students to manipulate physical objects, they can better visualize and understand the attributes and characteristics of 2D shapes.

Problem Solving Activities

Once students have learned attributes for the 2D shapes and have had time to sort and classify them by the number of sides, the number of angles, and whether they have sets of parallel lines, they are ready to take it up a notch.

One of the activities that I love to use for that added rigor is error analysis. I LOVE error analysis! Error analysis math activities are more engaging for students because they challenge them to think critically and identify errors in problem-solving. This type of activity also provides an opportunity for students to work collaboratively and communicate their reasoning, which leads to deeper learning and retention of mathematical concepts.

BUT – the best part of this – KIDS love to find errors!

Classifying 2D Shapes Error Analysis Activity

This set of 36 error analysis task cards is formatted to give your students multiple ways to classify 2D shapes. Using their reference chart, your students will determine if the attributes listed on the task card are true or false.

problem solving 2d shapes

You can use these task cards in several ways:

2D Shapes True or False Sorting Activity

problem solving 2d shapes

2D Shapes Error Analysis – Why is it true or false?

The way they will work this out is on the worksheet pictured below. They will complete these steps:

  • Draw and label the shape(s).
  • List their attributes.
  • Determine if the statement was true or false.
  • Write to explain and defend their decision using geometry vocabulary.

problem solving 2d shapes

You are going to LOVE seeing how they learn to write about their math thinking AND how this activity encourages them to use math vocabulary!

The task cards have several different options for how they compare and classify plane shapes and include triangles which are not part of the standard – but help them differentiate (and classify) the number of sides and angles versus quadrilaterals.

This classifying 2D shapes error analysis resource will add another level of rigor to your math activities. When introducing error analysis – start at the whole group level by modeling your thinking. Then give students support as they work on this activity. Finally – put it in your math centers. Students can practice this activity multiple times to get the most benefit from it.

If you would like to use an activity with a high level of rigor that includes writing in math – click here.

problem solving 2d shapes

After your students have mastered the skill of classifying and sorting 2D shapes and you want to review with them – this fun 2D Shapes Jeopardy game is the perfect whole-group activity! Kids love to play Jeopardy games , and this one gives them the fun and the important review all in one!

problem solving 2d shapes

Thanks for reading!

The most valuable resource that all teachers have is each other. Without collaboration our growth is limited to our own perspectives. Robert John Meehan

problem solving 2d shapes

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problem solving 2d shapes

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Exploring 2D Shapes

problem solving 2d shapes

Children often  enjoy playing with long strings or ribbons and making and describing shapes. Adults could  build on this by providing long loops of string or elastic to stimulate conversations about 2D shapes.

Encouraging mathematical thinking and reasoning:

The Mathematical Journey

Same and different:

  • developing the use of language to compare, contrast and describe. For example: straight, wiggly, curved, rounded, pointy, bigger, smaller, longer, shorter, corner, like, different, side, curve 

Recognising and labelling common shapes:

  • making connections with shapes in their own environment and beginning to use names such as triangle, rectangle, square, corner, side...
  • counting the sides and corners of the shapes they make

Describing position:

  • using words such as on, inside, outside, under, left, right, above and below to describe position

Comparing sizes:

  • beginning to use language such as bigger, smaller, longer and shorter to introduce ideas about measuring

problem solving 2d shapes

  • Shape searches in a series of photos or in books and drawings
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  • Building pictures from precut shapes or cutting shapes from coloured paper or magazines
  • Painting on the ground or wall with big wallpaper brushes and water
  • Using natural materials such as leaves, twigs and daisy chains to make shapes
  • Printing with potato or sponge shapes
  • Drawing shapes in the sand tray, with paints, through cornflour gloop or with a finger
  • Riding wheeled toys through puddles and looking at the tracks

Download a  PDF  of this resource.

problem solving 2d shapes

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2D Shapes in Real Life Worksheets

  • Geometry >
  • 2D Shapes >

Discover our free printable 2D shapes in real life worksheets to experience the joy of identifying the underlying two-dimensional shapes in real-world objects. Awaiting little ones in kindergarten and grade 1 are engaging exercises that include MCQs, a cut-and-glue activity, some matching fun, and more!

Our 2D shapes in real life pdf worksheets are curated for kindergarten and grade 1 kids.

Classifying Objects Based on Shapes | MCQ

Witness how our 2D shapes in real life pdfs spark new ways of perceiving the world! Put to the test your keen eye for detail and your knack for recognizing patterns by taking up this MCQ challenge ideal for 1st grade.

Classifying Objects Based on Shapes - MCQ

2D Shapes in Real Life Chart

Pin up this vibrant chart in your classroom or at home to assist yourself in exploring 2D shapes in the real world. Displayed here are images of everyday objects, accompanied by their corresponding 2D shapes.

2D Shapes in Real Life Chart

Sorting Objects into 2D Shapes | Cut and Glue

Calling all shape masters to try their hands at completing this sorting activity. From the curves of circles to the symmetry of squares, witness how these shapes harmoniously coexist in our environment.

Sorting Objects into 2D Shapes - Cut and Glue

Matching 2D Shapes with Similar Objects

Hone your observational skills with this pdf matching exercise! Presented with a selection of everyday objects, the worksheet tasks you with matching the objects to the two-dimensional shapes they most closely resemble.

Matching 2D Shapes with Similar Objects

Related Printable Worksheets

▶ 2D Shapes Charts

▶ Sides and Corners of 2D Shapes

▶ Sorting 2D Shapes

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IMAGES

  1. Year 2 Sort 2D Shapes Lesson

    problem solving 2d shapes

  2. 2d shape problem solving activity

    problem solving 2d shapes

  3. Problem Solving and Sorting 2-D Shapes in Year 2

    problem solving 2d shapes

  4. Problem Solving with 2D Shapes mini lesson

    problem solving 2d shapes

  5. 2D Shapes Activities Problem Solving Worksheets

    problem solving 2d shapes

  6. Space 2D Problem Solving

    problem solving 2d shapes

VIDEO

  1. Think Programming Intermediate: Solving 2D Array problem

  2. 2D Shapes on the Surface of 3D Shapes

  3. 2D Shapes

  4. 2D Shapes

  5. Area of 2D shapes

  6. Rotate By 90 Degree in 2d array

COMMENTS

  1. 2d Shapes Worksheets

    Here you will find our 2d Shapes worksheets where you will find our wide selection of worksheets on 2d shapes. There are sheets on names of 2d shapes, shape riddles, symmetry sheets, and sheets about the properties of 2d shapes. ... These riddles are all about problem solving with 2d shapes. Using these riddles will help your child to: develop ...

  2. 2D Shapes

    Identify shapes as two-dimensional (lying in a plane, "flat") or three-dimensional ("solid"). Grade 1: Geometry (1.G.A.2) Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half circles, and quarter-circles) or three-dimensional shapes (cubes, right rectangular prisms, right circular cones, and right circular ...

  3. 2D Shapes Practice Questions

    Practice Questions. The Corbettmaths Practice Questions and Answers on 2D Shapes.

  4. Area and perimeter

    Test your understanding of Area and perimeter with these NaN questions. Start test. Area and perimeter help us measure the size of 2D shapes. We'll start with the area and perimeter of rectangles. From there, we'll tackle trickier shapes, such as triangles and circles.

  5. 2D Shapes

    2D shapes are flat shapes which only have two dimensions; length and width. Some examples of common 2D shapes names are triangles, rectangles, pentagons, hexagons, heptagons, octagons, nonagons, decagons and circles. We can solve problems involving 2D shapes using a variety of methods.

  6. Shapes

    Classify shapes and solve problems using what we know of the properties of shapes. Properties of shapes. Learn. Cousin Fal's shape collection (Opens a modal) Recognizing shapes (Opens a modal) Shapes and angles (Opens a modal) Polygons review (Opens a modal) Practice. Compare shapes. 7 questions. Practice. Name shapes 3. 7 questions.

  7. Grade 4 Math: Exploring 2D Shapes with Printable Worksheets

    Problem-Solving with 2D Shapes. Students will solve word problems that involve 2D shapes, such as finding the perimeter or area of a shape. This activity is designed to help students apply their knowledge of 2D shapes to real-world problem-solving situations. Students will develop their critical thinking and mathematical reasoning skills by ...

  8. 2D Shapes

    Some common 2D shapes are squares, rectangles, triangles, circles, and hexagons. Let us learn more about 2D geometric shapes, the difference between 2D and 3D shapes, along with some 2D shapes examples on this page. 1. ... Become a problem-solving champ using logic, not rules. Learn the why behind math with ourCuemath's certified experts.

  9. Playing with 2D Shape

    Playing with 2D Shape. Giving children chance to 'play around' with two-dimensional shapes gives them the freedom to explore spatial properties for themselves, thereby developing their understanding in a meaningful way. These activities offer contexts in which children can engage in this 'play'. Matching Triangles. Age 5 to 7.

  10. 2D Shapes

    A polygon is a 2D shape with straight sides. To be a regular polygon all the sides and angles must be the same: Triangle - 3 Sides. Square - 4 Sides. Pentagon - 5 Sides. Hexagon - 6 sides. Heptagon - 7 Sides. Octagon - 8 Sides. Nonagon - 9 Sides.

  11. Problem Solving with 2D Shapes mini lesson

    Review and define 2D shapes, then apply that to solve 5 problems! Ms. Hershey also explains how to do "Show What You Know Part 3: classifying 2D shapes"

  12. Properties of Shapes KS2

    Sponge Sections. Age 7 to 11. Challenge Level. You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.

  13. Free printable 3rd Grade 2D shapes worksheets for math practice

    Learning about 2D shapes helps 3rd graders develop spatial awareness, geometry, measurement, and problem-solving skills. It also prepares them for more advanced math topics in the future, such as area, perimeter, fractions, and algebra. ... A 2D shape is flat with only two dimensions: length and width. It does not have any thickness or depth ...

  14. Multiplication with 2D Shapes Problem Solving Worksheets

    Use these differentiated problem-solving worksheets to consolidate learning about 2D shapes and related vocabulary. The activities include use of multiplication tables facts up to the ten times table. Why not support pupils who are less confident about properties of 2D shapes by using these 2D Shape Posters display posters on your working wall.

  15. Shape Shed

    This is great as it shows understanding of properties and language and has some problem solving. Explain Everything App and Shape Properties. Miss Kingsley and her lovely Year 1 class at Russell Scott Primary have been using the Explain Everything App to talk about the properties of 2D shape, what a great idea and some superb mathematical ...

  16. Identify 2D Shapes Worksheets

    Frequently Asked Questions about 2D Shapes Worksheets How can I use 2D shapes worksheets to reinforce critical thinking skills in students? To promote critical thinking, include problem-solving tasks in the worksheets. For example, ask students to calculate the perimeter or area of shapes, identify irregular shapes, or find patterns among shapes.

  17. Classifying 2D Shapes with Error Analysis Activities

    2D Shapes Reference Chart. One of the tools that I think really helps students learn the attributes of these shapes and categories is to create an anchor chart with them. But I also like to give each student a Plane Shapes Reference Chart for their math notebook. With these in hand, they pretty quickly learn all the names of the plane shapes ...

  18. 2D Shapes Challenge Cards for 3rd-5th Grade

    These multiple-choice task cards engage students in questions about shapes and attributes of shapes. Modeled after testing questions, this resource is perfect for preparing students for test-prep or as a cumulative review. Students will answer questions about triangles, quadrilaterals, pentagons, hexagons, and octagons. Check out this Building Quadrilaterals Worksheet to give your children ...

  19. Exploring 2D Shapes

    Exploring 2D Shapes. Age 3 to 5. Describing and comparing 2D shapes. Understanding the characteristics of 2D shapes. Children often enjoy playing with long strings or ribbons and making and describing shapes. Adults could build on this by providing long loops of string or elastic to stimulate conversations about 2D shapes. The Activity.

  20. 2D Shapes in Real Life Worksheets

    2D Shapes >. Real Life. Discover our free printable 2D shapes in real life worksheets to experience the joy of identifying the underlying two-dimensional shapes in real-world objects. Awaiting little ones in kindergarten and grade 1 are engaging exercises that include MCQs, a cut-and-glue activity, some matching fun, and more!

  21. 100+ 2D Shapes- Games & Activities

    Draw The Shape Game - Shape games for F-2 children. 4.8 (5 Reviews) 2D Shapes Matching Connecting Bricks Game. 4.8 (8 Reviews) Find the Everyday 2D Shapes Scene Activity. 5.0 (1 Review) Coloured Square Maths Investigation Worksheet. 2D Shape Aliens Interactive Labelling Activity.

  22. 2D Shape Reasoning Challenges (teacher made)

    These 2D Shape Reasoning Challenges are the perfect activity for children to complete in order to challenge their understanding of 2D shapes and support making comparisons! An activity that further develops children's basic understanding of the properties of 2D shapes and supports them in recording full reasoning answers of comparison.

  23. PDF Year 2 Recognise 2D and 3D Shapes Reasoning and Problem Solving

    Reasoning and Problem Solving -Recognise 2D and 3D Shapes Developing 1a. Jay is correct. Both of the shapes are triangles in different positions. 1b. Bella is incorrect. The first shape is a cylinder but the second shape is a sphere. 2a. Alia has put the square and the pyramid in the wrong places. They need to swa. 2b.