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4024/12 Oct/Nov 2025, Question 11: Describing Transformations

Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 4 marks

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The question, in short

Using the grid with shape A and shape B, identify the single transformation taking A to B, then sketch A rotated 90° clockwise 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 that carries shape A exactly onto shape B, giving its type and full details.

  1. 1A(1, 2) → B(−4, −2): x changes by −4 − 1 = −5, y changes by −2 − 2 = −4
  2. 2Same size, same orientation, so it is a translation
  3. 3Translation by column vector (−5, −4)

AnswerTranslation, column vector (−5, −4)

Part (b) · 2 marks

Sketch the image of shape A after turning it 90° clockwise around the origin.

  1. 1Rotation 90° clockwise about the origin: (x, y) → (y, −x)
  2. 2(1, 2) → (2, −1), (1, 3) → (3, −1), (2, 3) → (3, −2), (3, 2) → (2, −3)
  3. 3Plot and join (2, −1), (3, −1), (3, −2), (2, −3)

AnswerShape at (2, −1), (3, −1), (3, −2), (2, −3)

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