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0580/31 Oct/Nov 2023, Question 6: Describing Transformations

Cambridge IGCSE Mathematics 0580 · Paper 31 (Core) · Calculator · 7 marks

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The question, in short

Using a grid with triangles A, B and C, describe transformations between triangles and draw a reflected image.

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. 1(1, 3) → (3, 0): 2 right and 3 down
  2. 2Translation by column vector (2, −3)

AnswerTranslation, column vector (2, −3)

Part (b) · 3 marks

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

  1. 1Side lengths ×3 (4 → 12, 2 → 6), same orientation: scale factor 3
  2. 2Centre = (3 × (1, 3) − (−5, −3)) ÷ 2 = (4, 6)
  3. 3Enlargement, scale factor 3, centre (4, 6)

AnswerEnlargement, scale factor 3, centre (4, 6)

Part (c) · 2 marks

Draw the image of triangle A after reflection in the line y = 6.

  1. 1Each point's distance from y = 6 is kept on the other side
  2. 2(1, 3) → (1, 9), (1, 5) → (1, 7), (5, 3) → (5, 9)

AnswerCorrect reflection points (1, 7), (1, 9), (5, 9)

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Also searched as: 0580/31/O/N/23 · 0580_w23_qp_31 · 0580 w23 31 · question 6.
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