Mastering Transformations: Translation
Mathematics
Grade 8
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About This Worksheet
A worksheet covering Transformations: Translation for Grade 8 students. Learn how to shift figures on the coordinate plane using translation vectors.
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Mastering Transformations: Translation
Subject: MathematicsGrade: Grade 8
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Untitled Worksheet
Grade Grade 8
A
Introduction
A translation in geometry moves every point of a figure by the same distance in a given direction. It is described by a translation vector, such as (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, 5) by the vector (4, -2). What are the new coordinates?
[2 marks]2.
Translate the point (-2, 4) by the vector (-5, 3). What are the new coordinates?
[2 marks]3.
Translate the point (0, 0) by the vector (0, 5). What are the new coordinates?
[2 marks]4.
Translate the point (6, -3) by the vector (-2, 4). What are the new coordinates?
[2 marks]5.
A triangle has vertices at (1, 2), (3, 4), and (5, 0). Translate the triangle by the vector (2, -1). What are the new coordinates of each vertex?
[4 marks]6.
A rectangle with vertices at (-1, -1), (-1, 2), (2, 2), and (2, -1) is translated by (3, 4). Draw and label the new rectangle.
[4 marks]7.
Explain in your own words what a translation does to a figure on the coordinate plane.
[2 marks]8.
If a figure is translated 5 units to the right and 3 units up, what is the translation vector?
[2 marks]9.
A point at (–4, 7) is translated by (6, –2). What are its new coordinates?
[2 marks]10.
A figure is translated using the vector (–3, 4). Describe what happens to the figure.
[2 marks]Quick Actions
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- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet