Mastering Transformations: Reflection
Mathematics
GCSE Foundation
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A worksheet covering Transformations: Reflection for GCSE Foundation students.
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Mastering Transformations: Reflection
Subject: MathematicsGrade: GCSE Foundation
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Date:
Untitled Worksheet
Grade GCSE Foundation
A
Introduction
Review the key concept: Reflecting a point or shape across a line involves flipping it over the line so that the line is the perpendicular bisector of the segment joining a point and its image.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Reflect the point (3, 4) across the y-axis. What are the coordinates of the image?
[2 marks]2.
Reflect the point (-5, 2) across the x-axis. What are the coordinates of the image?
[2 marks]3.
Reflect the point (0, 7) across the line y = x. What are the coordinates of the image?
[2 marks]4.
Reflect the point (-2, -3) across the line y = -x. What are the coordinates of the image?
[2 marks]5.
A triangle with vertices at (1, 2), (4, 3), and (2, 5) is reflected across the y-axis. List the new coordinates of the vertices.
[3 marks]6.
A rectangle with vertices at (0, 0), (4, 0), (4, 3), and (0, 3) is reflected across the line y = x. What are the new coordinates?
[3 marks]7.
A kite is reflected across the line y = -x. The original points are (1, 4) and (-3, 2). What are the images?
[3 marks]8.
A shape is reflected across the y-axis. The original point is (6, -2). Find the image point.
[2 marks]9.
Reflect the figure with vertices at (2, 1), (5, 1), and (3, 4) across the line y = x. Write the new vertices.
[3 marks]10.
A parallelogram with vertices (0, 0), (2, 3), (5, 3), and (3, 0) is reflected across the line y = -x. Provide the new vertices.
[3 marks]11.
Challenge: A flag pole stands at point (4, 2). It is reflected across the line y = x. Where is the pole now?
[4 marks]12.
Real-world application: A mirror line runs along y = 0. An artist sketches a shape at points (x, y). To create a symmetrical reflection, what steps must they follow to reflect the shape across y = 0?
[4 marks]Quick Actions
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- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet