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0580/13 May/Jun 2026, Question 20: Describing Transformations

Cambridge IGCSE Mathematics 0580 · Paper 13 (Core) · Non-calculator · 7 marks

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The question, in short

Using three triangles A, B and C drawn on a coordinate grid, identify transformations between them and draw a rotated image of A.

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

Part (a) · 2 marks

State the single transformation taking triangle A to triangle B, giving all its defining details.

  1. 1(2, 2) maps to (4, −5)
  2. 2Moved 2 right and 7 down
  3. 3Translation by column vector (2, −7)

AnswerTranslation by column vector (2, −7)

Part (b) · 3 marks

State the single transformation taking triangle A to triangle C, giving all its defining details.

  1. 1Base of A is 2 units, base of C is 1 unit, so scale factor = 1/2
  2. 2(2, 2) → (1, 1), (4, 2) → (2, 1): each coordinate is halved
  3. 3Enlargement, scale factor 1/2, centre (0, 0)

AnswerEnlargement, scale factor 1/2, centre (0, 0)

Part (c) · 2 marks

Draw shape A's image after turning it 180° about the origin (0, 0).

  1. 1Rotation 180° about (0, 0): (x, y) → (−x, −y)
  2. 2(2, 2) → (−2, −2), (4, 2) → (−4, −2), (3, 6) → (−3, −6)
  3. 3Plot and join these points

AnswerTriangle at (−4, −2), (−2, −2), (−3, −6)

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Also searched as: 0580/13/M/J/26 · 0580_s26_qp_13 · 0580 s26 13 · question 20.
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