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4024/22 Oct/Nov 2022, Question 6: Describing Transformations

Cambridge O Level Mathematics 4024 · Paper 22 (Calculator) · Calculator · 7 marks

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The question, in short

On a grid, reflect shaded triangle A in the line x = 1 and label it B; then find the transformation Y that maps A to C before a translation by (6, 1) maps C to D.

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

Part (a) · 2 marks

Reflect triangle A, with vertices (−3, 2), (−3, 5), (−2, 2), in the line x = 1 and label the image B.

  1. 1Each point moves to the same distance on the other side of x = 1
  2. 2(−3, 2) → (5, 2), (−3, 5) → (5, 5), (−2, 2) → (4, 2)
  3. 3Label the image B

AnswerCorrect reflection (5, 2), (5, 5), (4, 2)

Part (b) · 5 marks

Given A maps to C by transformation Y and C maps to D by translation (6, 1), describe transformation Y fully.

  1. 1Translate D back by (−6, −1): C has vertices (−2, −3), (−5, −3), (−2, −2)
  2. 2A (−3, 2) → (−2, −3), (−3, 5) → (−5, −3), (−2, 2) → (−2, −2): this is (x, y) → (−y, x)
  3. 3Rotation, 90° anticlockwise, centre (0, 0)

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

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Also searched as: 4024/22/O/N/22 · 4024_w22_qp_22 · 4024 w22 22 · question 6.
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