Swapping Coordinates: Mixed Review
Mathematics
GCSE Foundation
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet reviewing the concept of swapping coordinates during reflection across the line y=x, suitable for GCSE Foundation students.
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Swapping Coordinates: Mixed Review
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Reflect the point (3, -4) across the line y = x by swapping its coordinates. Write down the new coordinates.
[2 marks]2.
Given the point ( -7, 2 ), find its reflection across y=x. Show the swapped coordinates.
[2 marks]3.
Plot the point (5, -3) on the grid and then reflect it across y=x. Write the coordinates of the reflected point.
[3 marks]4.
A point has coordinates ( x, y ). After reflection across y=x, what are the new coordinates?
[2 marks]5.
If a point on the grid is at ( -2, 6 ), what will be its position after reflecting across y=x?
[2 marks]6.
Construct a triangle with vertices at (1, 2), (3, 4), and (5, 6). Reflect each vertex across y=x. Record the new coordinates.
[4 marks]7.
A mirror line y=x reflects a point at ( -8, 0 ). Write down the reflected coordinates.
[2 marks]8.
Real-world Scenario: A drone is flying at coordinates (12, -5). It needs to reverse its position across the line y=x. What new coordinates will it reach?
[3 marks]9.
A reflection across y=x is often misunderstood. A student claims that reflecting (3, 7) results in (3, 7). Identify and explain the mistake made.
[3 marks]10.
Challenge: Find a point (x, y) such that its reflection across y=x results in ( -9, 4 ). Provide the coordinates of the original point.
[3 marks]11.
Explain why swapping coordinates does not always produce a valid reflection if the points are not on the line y=x.
[3 marks]12.
Identify the common mistake when students forget to swap the coordinates after reflecting a point across y=x.
[2 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet