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Mastering Transformations: Reflection

Mathematics
GCSE Foundation
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About This Worksheet

A worksheet covering Transformations: Reflection for GCSE Foundation students.

Topics covered:

#Mathematics
#Transformations: Reflection

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Mastering Transformations: Reflection

Subject: MathematicsGrade: GCSE Foundation
Name:
Date:

Untitled Worksheet

Grade GCSE Foundation
A

Introduction

Review the key concept: Reflecting a point (x, y) across the y-axis results in the point (-x, y). Similarly, reflecting across the x-axis results in (x, -y).
B

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Reflect the point (3, -4) across the y-axis. Write the new coordinates.
[1 mark]
2.
Reflect the point (-6, 2) across the x-axis. Write the new coordinates.
[1 mark]
3.
Reflect the point (0, 5) across the y-axis. Write the new coordinates.
[1 mark]
4.
Reflect the point (4, 0) across the x-axis. Write the new coordinates.
[1 mark]
5.
Reflect the point (-2, -3) across the y-axis. Write the new coordinates.
[1 mark]
6.
Reflect the point (7, -1) across the x-axis. Write the new coordinates.
[1 mark]
7.
A triangle has vertices at (1, 2), (3, 4), and (2, 5). Reflect the triangle across the y-axis. List the new vertices.
[3 marks]
8.
Reflect the shape with vertices at (0, 0), (2, 3), and (4, 1) across the x-axis. List the new vertices.
[3 marks]
9.
A rectangle with vertices at (-3, 2), (1, 2), (1, -2), and (-3, -2) is reflected across the y-axis. Write the new vertices.
[4 marks]
10.
A mirror line is drawn along the y-axis. A point (5, 7) is reflected across this line. What are the coordinates of the reflected point?
[2 marks]
11.
A figure is reflected across the y-axis and then across the x-axis. If a point starts at (x, y), what are its coordinates after both transformations?
[4 marks]
12.
A map shows a landmark at (6, -3). The map is reflected across the y-axis to produce a mirror image. What are the coordinates of the landmark in the reflected map?
[2 marks]

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Details

Created
12/30/2025
Updated
12/30/2025
Type
worksheet
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