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4024/21 May/Jun 2020, Question 2: Removed from the 2025–27 syllabuses (parked)

Cambridge O Level Mathematics 4024 · Paper 21 (Calculator) · Calculator · 7 marks

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The question, in short

On a grid, triangle A has vertices (1, 1), (4, 1), (2, 2) and triangle B has vertices (1, −1), (4, −1), (2, −2). Describe transformations, draw triangle C, and identify transformation P.

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

Part (a) · 2 marks

Describe fully the single transformation mapping triangle A onto triangle B.

  1. 1Each point (x, y) goes to (x, −y)
  2. 2Reflection in the x-axis

AnswerReflection x-axis

Part (b) · 2 marks

Draw triangle C, the image of triangle A after a 90° anticlockwise rotation about (1, 1).

  1. 1Rotate each vertex 90° anticlockwise about (1, 1)
  2. 2(1, 1) → (1, 1), (4, 1) → (1, 4), (2, 2) → (0, 2)
  3. 3Draw triangle C with vertices (1, 1), (1, 4), (0, 2)

AnswerCorrect rotation, vertices (1, 1) (1, 4) (0, 2)

Part (c) · 3 marks

Transformation P has matrix (2 0 / 0 2); describe fully the single transformation P.

  1. 1(2 0 / 0 2) multiplies every coordinate by 2: (1, 1) → (2, 2), (4, 1) → (8, 2), (2, 2) → (4, 4)
  2. 2Enlargement, scale factor 2, centre (0, 0)

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

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