Angles and shape: Reflection

Home learning focus

Learn how to reflect shapes in a mirror line.

This lesson includes:

  • one video
  • a learning summary
  • one quiz
  • one activity

Learn

How can you transform a shape?

This KS2 Maths video explains how shapes can be transformed through translation, reflection or rotation.

Reflection is a type of transformation. To reflect an object, you need a mirror line.

When a shape is reflected, its size does not change - the image just appears 'flipped'.

Every point on the shape is the same distance away on the other side of the mirror line.

Using squared paper can be very handy to help you reflect an object.

Example 1:

Let's go through the steps to reflect a shape.

When you are reflecting a shape, you don’t need to reflect the whole shape at once.

Instead, reflect each vertex (corner) of the shape. Make sure that each vertex is the same distance away from the mirror line as the original shape.

When you have plotted the reflected vertices, you join the points together again.

There you have your reflected shape!

Sometimes you reflect shapes in a grid. The steps to reflect the shape are exactly the same, but the reflected shape will have new coordinates.

Example 2:

Let's take a look at another example:

The letters represent the coordinates of the original shapes vertices.

A - (3, 1)

B - (5, 1)

C - (4, 4)

D - (6, 4)

Like before, reflect each vertex of the shape in the mirror line.

Remember to make sure that each vertex is the same amount of squares away from the mirror line as the original shape.

Now you have plotted the new vertices, join them to create the reflected shape.

Can you see how the reflected vertices now have new coordinates?

Let’s see what they are:

Original CoordinateReflected Coordinate
A(3, 1)(3, 9)
B(5, 1)(5, 9)
C(4, 4)(4, 6)
D(6, 4)(6, 6)

Practise

Activity 1

Reflection Quiz

Test your knowledge of reflection with this quiz!

Activity 2

You will need a piece of paper (ideally squared or dotted), a pencil and maybe a mirror for this activity.

Investigate which capital letters look exactly the same in each quadrant when reflected through two mirror lines

In this investigation, you are going to explore which capital letters have exactly the same reflection when reflected across two mirror lines.

'A' has been done for you below. Can you find the others?

Top Tip: There are 4 letters to find!

Click here for the answers.

Extension Challenge: Have a go at drawing your initials in one quadrant and then reflecting them across two different mirror lines into the other three quadrants.

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