Swapping & Negating: Error Analysis & Misconceptions
Mathematics
Year 9
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on common errors and misconceptions related to swapping and negating coordinates during reflection across the line y = -x. Designed to develop understanding through error analysis and problem solving.
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Full preview • 12 questions
Swapping & Negating: Error Analysis & Misconceptions
Subject: MathematicsGrade: Year 9
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Untitled Worksheet
Grade Year 9
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Reflect the point (3, -5) across the line y = -x. State the new coordinates.
[2 marks]2.
A student incorrectly reflects the point (-2, 4) as (4, -2) when reflecting across y = -x. Identify and explain the mistake made.
[3 marks]3.
Given the point (x, y), write the general formula for its reflection across y = -x.
[2 marks]4.
Plot and reflect the point (1, -2) across y = -x on the grid. Write the reflected coordinates.
[2 marks]5.
A reflection of (5, -3) should produce which coordinates? Confirm if swapping and negating are done correctly.
[2 marks]6.
Explain why simply swapping the coordinates without negating does not produce the correct reflection across y = -x.
[3 marks]7.
A point (x, y) is reflected across y = -x resulting in (-y, -x). If the reflected point is (4, -3), what was the original point?
[2 marks]8.
Identify the common misconception students have when reflecting points across y=-x and suggest a correct approach.
[3 marks]9.
Construct a triangle with vertices (2, -1), (-3, 4), and (0, 0). Reflect it across y = -x. What are the new vertices?
[3 marks]10.
A student claims that reflecting a point across y = -x always results in a point with both coordinates negative. Is this true? Explain.
[3 marks]11.
Calculate the reflection of the point (-6, 2). Show your working.
[2 marks]12.
Identify and correct the mistake in this student’s reflection: they reflected (4, -5) as (5, -4).
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet