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0580/21 May/Jun 2023, Question 11: Describing Transformations

Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 6 marks

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The question, in short

Using the grid with triangles A, B and C, describe the single transformation that maps triangle A onto triangle B, and the one mapping A onto C.

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

Part (a) · 3 marks

Describe the single transformation taking triangle A onto triangle B.

  1. 1B is twice the size of A, same way up: scale factor 2
  2. 2Lines through (2, 5)→(4, 3) and (2, 6)→(4, 5) meet at (0, 7)
  3. 3Check: (0, 7) + 2 × ((2, 5) − (0, 7)) = (4, 3)
  4. 4Enlargement, scale factor 2, centre (0, 7)

AnswerEnlargement, scale factor 2, centre (0, 7)

Part (b) · 3 marks

Describe the single transformation taking triangle A onto triangle C.

  1. 1C is the same size, turned through 90° clockwise
  2. 2(2, 5) → (7, 2), (2, 6) → (8, 2), (4, 6) → (8, 0) about (3, 1)
  3. 3Rotation, centre (3, 1), 90° clockwise

AnswerRotation, centre (3, 1), 90° clockwise

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Also searched as: 0580/21/M/J/23 · 0580_s23_qp_21 · 0580 s23 21 · question 11.
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