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0580/11 May/Jun 2026, Question 19: Describing Transformations

Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Non-calculator · 10 marks

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The question, in short

Grid with triangles T, A and B; carry out transformations on T and identify single transformations mapping T to A and to B.

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

Part (a) · 2 marks

Draw T's image after translation by the vector (3, −6).

  1. 1Move each vertex 3 right and 6 down
  2. 2(1, 1) → (4, −5), (2, 1) → (5, −5), (1, 4) → (4, −2)

AnswerCorrect triangle at (4, −5), (5, −5), (4, −2)

Part (b) · 2 marks

Draw T's image after reflection in the line y = −1.

  1. 1Each point is the same distance below y = −1 as it was above
  2. 2(1, 1) → (1, −3), (2, 1) → (2, −3), (1, 4) → (1, −6)

AnswerCorrect triangle at (1, −3), (2, −3), (1, −6)

Part (c) · 3 marks

Describe fully the single transformation taking T onto triangle A.

  1. 1A is the same shape but twice as big: enlargement, scale factor 2
  2. 2Lines through matching vertices, e.g. (1, 4) to (−3, 4) and (1, 1) to (−3, −2), meet at (5, 4)
  3. 3Enlargement, centre (5, 4), scale factor 2

AnswerEnlargement, centre (5, 4), scale factor 2

Part (d) · 3 marks

Describe fully the single transformation taking T onto triangle B.

  1. 1B is the same size, turned a quarter turn
  2. 2(1, 1) → (1, −1), (2, 1) → (1, −2), (1, 4) → (4, −1): (x, y) → (y, −x)
  3. 3Rotation, centre (0, 0), 90° clockwise

AnswerRotation, centre (0, 0), 90° clockwise

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Also searched as: 0580/11/M/J/26 · 0580_s26_qp_11 · 0580 s26 11 · question 19.
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