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 concepts of rotation, including the rules for rotating points and shapes about a fixed point by a given angle.
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. Write down the new coordinates.
[2 marks]2.
Rotate the point (-2, 5) 180° about the origin. What are the coordinates after rotation?
[2 marks]3.
Rotate the point (0, -3) 270° clockwise about the origin. What are the resulting coordinates?
[2 marks]4.
If a triangle with vertices A(1, 2), B(4, 2), and C(1, 5) is rotated 180° about the origin, what are the new coordinates of the vertices?
[3 marks]5.
A square with vertices at (2, 1), (4, 1), (4, 3), and (2, 3) is rotated 90° clockwise about point (2, 2). What are the new coordinates of the vertices?
[3 marks]6.
Determine the angle of rotation needed to map point (1, 2) onto point (2, -1) about the origin.
[2 marks]7.
A triangle is rotated 120° counterclockwise about point (0, 0). The original vertices are (2, 0), (0, 2), and (-2, 0). What are the new coordinates after rotation?
[3 marks]8.
Explain why rotating a shape 360° about a point results in the shape returning to its original position.
[3 marks]9.
A figure is rotated 45° clockwise about the point (3, 3). If a point on the figure is initially at (5, 3), what are its coordinates after rotation?
[3 marks]10.
A kite with vertices at (0, 0), (4, 0), (4, 3), and (0, 3) is rotated 270° clockwise about the origin. What are the new coordinates of the vertices?
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- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
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