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0580/21 Oct/Nov 2025, Question 5: Describing Transformations

Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Non-calculator · 4 marks

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The question, in short

On a grid, triangle P and shaded triangle T are shown. Describe the single transformation mapping T to P, then draw T enlarged by scale factor 2 about (3, 3).

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (a) · 2 marks

Describe fully the one transformation that takes triangle T onto triangle P.

  1. 1Each vertex moves 3 left and 1 up: (1, 1) → (−2, 2), (3, 1) → (0, 2), (3, 2) → (0, 3)
  2. 2Translation by column vector (−3, 1)

AnswerTranslation column vector (−3, 1)

Part (b) · 2 marks

Draw the image of triangle T after enlargement with scale factor 2 and centre (3, 3).

  1. 1From centre (3, 3), double the distance to each vertex of T
  2. 2(1, 1): 2 × (−2, −2) → (−1, −1); (3, 1): 2 × (0, −2) → (3, −1); (3, 2): 2 × (0, −1) → (3, 1)
  3. 3Draw the triangle with vertices (3, 1), (3, −1) and (−1, −1)

AnswerTriangle at (3, 1), (3, −1), (−1, −1)

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Also searched as: 0580/21/O/N/25 · 0580_w25_qp_21 · 0580 w25 21 · question 5.
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