Mastering Transformations: Reflection

Mathematics
Grade 6
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A worksheet covering Transformations: Reflection for Grade 6 students.

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Mastering Transformations: Reflection

Subject: MathematicsGrade: Grade 6
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Untitled Worksheet

Grade Grade 6
A

Introduction

Review the concept of reflection in geometry. A reflection flips a shape over a line, creating a mirror image. The line of reflection acts as a mirror line, and each point on the shape is mapped to a point on the other side at the same distance from the line.
B

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Reflect the point (3, 2) over the y-axis. What are the coordinates of the reflected point?
[1 mark]
2.
Reflect the point (-4, 5) over the x-axis. What are the coordinates of the reflected point?
[1 mark]
3.
Reflect the point (0, -3) over the line y = x. What are the coordinates of the reflected point?
[1 mark]
4.
Reflect the point (6, -2) over the line y = -x. What are the coordinates of the reflected point?
[1 mark]
5.
A triangle has vertices at A(2, 3), B(4, 1), and C(3, 4). Reflect the triangle over the y-axis. List the new coordinates of the vertices.
[2 marks]
6.
A rectangle has points at (1, 2), (3, 2), (3, 5), and (1, 5). Reflect it over the x-axis. What are the new coordinates?
[2 marks]
7.
Shape X with vertices at (2, 1), (4, 1), and (3, 3) is reflected over the line y = x. What are the new coordinates?
[2 marks]
8.
A hexagon has vertices at (1, 2), (3, 2), (4, 4), (2, 6), (0, 4), and (-1, 2). Reflect it over the y-axis. What are the new coordinates?
[2 marks]
9.
Identify the line of symmetry for a regular square and describe the reflection that maps it onto itself.
[2 marks]
10.
A kite shape has a line of symmetry along its vertical axis. If a point at (2, 5) reflects over this line, what is its new position?
[1 mark]
11.
A real-world scenario: A mirror is placed along the line y = x in a park. A statue at (4, 2) is reflected over the line. What are the coordinates of the reflected statue?
[2 marks]
12.
Design a simple shape and describe its reflection over the y-axis. What are the key steps involved?
[2 marks]

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Details

Created
12/30/2025
Updated
12/30/2025
Type
worksheet