Mastering Transformations: Rotation
Mathematics
GCSE Foundation
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A worksheet covering Transformations: Rotation for GCSE Foundation students.
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Mastering Transformations: Rotation
Subject: MathematicsGrade: GCSE Foundation
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Date:
Untitled Worksheet
Grade GCSE Foundation
A
Introduction
Review the key concept: rotating a point (x, y) about a fixed point (a, b) by an angle θ results in a new point (x', y') calculated using rotation formulas. Remember, rotations are usually measured in degrees and can be clockwise or anti-clockwise.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Rotate the point (3, 4) 90° clockwise about the origin (0,0). What are the coordinates of the image?
[2 marks]2.
Rotate the point (-2, 5) 180° about the origin. What are the new coordinates?
[2 marks]3.
Rotate the point (1, -3) 270° anti-clockwise about the origin. What are the coordinates after rotation?
[2 marks]4.
What is the result of rotating the point (0, 2) 360° about the origin?
[2 marks]5.
A point (x, y) is rotated 90° clockwise about the origin to (2, -5). Find the original coordinates (x, y).
[3 marks]6.
A triangle with vertices at A(2, 3), B(4, 5), and C(3, 7) is rotated 180° about point (2, 4). What are the new coordinates of the vertices?
[4 marks]7.
A point (x, y) is rotated 45° anti-clockwise about the point (1, 1). The resulting coordinates are (3, 4). Find the original coordinates (x, y).
[4 marks]8.
Explain how the size of the angle of rotation affects the position of the image relative to the original point.
[3 marks]9.
A square is rotated 45° about its center. Describe how the vertices' positions change and what symmetry this introduces.
[3 marks]Quick Actions
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- Created
- 12/30/2025
- Updated
- 12/30/2025
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