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4024/11 Oct/Nov 2025, Question 8: Describing Transformations

Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 4 marks

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The question, in short

Using the grid with triangles A and B, identify the single transformation taking A to B, then plot A rotated 180° about the origin.

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

Part (a) · 2 marks

State the one transformation, with all its details, that carries triangle A onto triangle B.

  1. 1(−4, 2) → (6, 2) and (−3, 2) → (5, 2): midpoints have x = 1
  2. 2Reflection in the line x = 1

AnswerReflection, x = 1

Part (b) · 2 marks

On the grid, plot the triangle obtained by turning A by 180° around (0, 0).

  1. 1Rotation 180° about (0, 0): (x, y) → (−x, −y)
  2. 2(−4, 2) → (4, −2), (−3, 2) → (3, −2), (−4, 5) → (4, −5)
  3. 3Draw the triangle (3, −2), (4, −2), (4, −5)

AnswerTriangle drawn at (3, −2), (4, −2), (4, −5)

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