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4024/11 Oct/Nov 2024, Question 9: Describing Transformations

Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 5 marks

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The question, in short

Grid with triangles A and B; identify the single transformation taking A to B, then draw triangle C after a translation by column vector (−3, 2).

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

Part (a) · 3 marks

State the one transformation that carries triangle A onto triangle B, giving its type and full details.

  1. 1A (1, 1), (2, 1), (1, 3) → B (−3, −5), (0, −5), (−3, 1): sides are 3 times as long, same way up
  2. 2Centre c: 3 × (1, 1) − 2c = (−3, −5) so 2c = (6, 8), c = (3, 4)
  3. 3Enlargement, scale factor 3, centre (3, 4)

AnswerEnlargement, scale factor 3, centre (3, 4)

Part (b) · 2 marks

Draw triangle C, the image of triangle A under the translation with column vector (−3, 2).

  1. 1Move each vertex 3 left and 2 up
  2. 2(1, 1) → (−2, 3), (2, 1) → (−1, 3), (1, 3) → (−2, 5)
  3. 3Draw the triangle (−2, 5), (−2, 3), (−1, 3)

AnswerTriangle drawn with vertices at (−2, 5), (−2, 3) and (−1, 3)

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Also searched as: 4024/11/O/N/24 · 4024_w24_qp_11 · 4024 w24 11 · question 9.
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