Mastering Transformations: Translation
Mathematics
GCSE Foundation
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A worksheet covering Transformations: Translation for GCSE Foundation students.
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Mastering Transformations: Translation
Subject: MathematicsGrade: GCSE Foundation
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Date:
Untitled Worksheet
Grade GCSE Foundation
A
Introduction
Review the concept of translation: a translation moves every point of a shape or object a fixed distance in a specified direction. The translation can be represented as (x, y) → (x + a, y + b), where a and b are the horizontal and vertical shifts respectively.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Translate the point (3, 4) by 5 units right and 2 units up. What are the new coordinates?
[2 marks]2.
Translate the point (-2, 7) 3 units left and 4 units down. What are the new coordinates?
[2 marks]3.
If a shape at points A(1, 2), B(4, 2), and C(4, 5) is translated 3 units right and 1 unit down, what are the new coordinates of A, B, and C?
[3 marks]4.
A triangle has vertices at (2, 3), (5, 3), and (4, 6). If translated 2 units left and 2 units up, what are the new vertices?
[3 marks]5.
Translate the point (0, 0) 7 units right and 5 units down. What are the new coordinates?
[2 marks]6.
A rectangle has vertices at (1, 1), (4, 1), (4, 3), and (1, 3). If it is translated 3 units right and 2 units up, what are the new vertices?
[3 marks]7.
A shape is translated 4 units left and 3 units down. If the original point is at (6, 8), what are the new coordinates?
[2 marks]8.
A parallelogram with vertices at (2, 2), (5, 2), (6, 4), and (3, 4) is translated 2 units right and 3 units up. What are the new vertices?
[3 marks]9.
A polygon's vertices are at (1, 1), (3, 1), (3, 4), and (1, 4). It is translated 6 units right and 4 units up. Find the new vertices.
[3 marks]10.
Challenge: A map shows a park with a corner at (10, 15). The park is translated 12 units left and 8 units down to a new position. What are the new coordinates of the corner?
[4 marks]11.
Real-world application: A drone flying over a grid starts at (5, 5). It moves 10 units north and 4 units east. What are its new coordinates?
[4 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet