0580/42 Oct/Nov 2025, Question 8: Reflection
Cambridge IGCSE Mathematics 0580 · Paper 42 (Extended) · Calculator · 8 marks
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The question, in short
Using the grid, carry out two transformations of shape A and identify one transformation linking shape A to shape B.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Part (ai) · 2 marks
Draw shape A moved by the vector (1, −7) on the grid.
- 1Move each vertex 1 right and 7 down
- 2(−5, 5) → (−4, −2), (−4, 5) → (−3, −2), (−3, 4) → (−2, −3), (−4, 3) → (−3, −4)
- 3Draw the quadrilateral with vertices (−2, −3), (−3, −2), (−4, −2) and (−3, −4)
AnswerImage drawn at (−2, −3), (−3, −2), (−4, −2) and (−3, −4)
Part (aii) · 3 marks
Draw shape A reflected in the line y = x + 1.
- 1Draw the line y = x + 1; reflecting in it maps (x, y) to (y − 1, x + 1)
- 2(−5, 5) → (4, −4), (−4, 5) → (4, −3), (−3, 4) → (3, −2), (−4, 3) → (2, −3)
- 3Draw the quadrilateral with vertices (2, −3), (3, −2), (4, −3) and (4, −4)
AnswerImage drawn at (2, −3), (3, −2), (4, −3) and (4, −4)
Part (b) · 3 marks
State fully the single transformation taking shape A onto shape B.
- 1B is A turned a quarter turn anticlockwise: rotation 90° anticlockwise.
- 2Find the centre with tracing paper, or test a point: try (−2, 6).
- 3(−5, 5) → (−1, 3), (−4, 5) → (−1, 4), (−3, 4) → (0, 5), (−4, 3) → (1, 4): all on B.
- 4Rotation, 90° anticlockwise, centre (−2, 6)
AnswerRotation, 90° anticlockwise, centre (−2, 6)
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Also searched as: 0580/42/O/N/25 · 0580_w25_qp_42 · 0580 w25 42 · question 8.
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