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Understand Reflections in Straight Line Graphs

In this worksheet, students will reflect a shape in a straight line graph.

'Understand Reflections in Straight Line Graphs' worksheet

Key stage:  KS 3

Year:  Year 8 Maths worksheets

Curriculum topic:   Geometry and Measures

Curriculum subtopic:   Identify and Describe Translations, Rotations and Reflections

Difficulty level:  

Worksheet Overview

In this activity, we will look at reflections in a straight line graph.

 

A reflection is a transformation

 

For a shape to be reflected the two shapes must be:

1)  the same size

2)  the same distance from the mirror line

3)  facing opposite directions ('flipped')

 

reflections

 

To reflect in straight lines on a grid we have to be familiar with the most common straight lines used!

 

Vertical lines:   x = something

 

x = something straight lines

 

Horizontal lines:  y = something

 

y = something straight lines

 

Diagonal lines:   y = x   or   y = -x

 

y = x or y = -x lines

 

We put the straight line graphs together with the reflections.

 

Let's look at a typical question!

 

Example

Reflect the shape below in the line x = 2 

 

reflections

 

Answer

We identify the mirror line first.

 x = 2  is vertical and cuts through x = 2

 

x = 2 mirror line

 

Next, we count how many squares each corner is from the mirror line and plot the same distance on the other side.

Do this for all four corners and join together to form the reflection!

 

reflection in x = 2 mirror line

 

Have you got it? Let's try some questions.

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