0580/21 May/Jun 2022, Question 16: Describing Transformations
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 3 marks
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The question, in short
On a grid, triangle T has vertices (6, 6), (6, 8), (10, 8) and triangle P has vertices (1, 2), (3, 2), (3, 3). Describe fully the single transformation mapping T onto P.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1P is upside down and half the size of T: scale factor −1/2
- 2Join (6, 6) to (3, 3) and (10, 8) to (1, 2): the lines meet at (4, 4)
- 3Check: (6, 8) → (4 − 1/2 × 2, 4 − 1/2 × 4) = (3, 2)
- 4Enlargement, scale factor −1/2, centre (4, 4)
AnswerEnlargement, scale factor −1/2, centre (4, 4)
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Also searched as: 0580/21/M/J/22 · 0580_s22_qp_21 · 0580 s22 21 · question 16.
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