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0580/43 Oct/Nov 2021, Question 1: Describing Transformations

Cambridge IGCSE Mathematics 0580 · Paper 43 (Extended) · Calculator · 7 marks

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The question, in short

Using three triangles T, A and B on a 1 cm² grid, identify the single transformations mapping T to A and to B, and find how far points of T move onto B.

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

Part (a) · 3 marks

Describe fully the single transformation taking triangle T onto triangle A.

  1. 1Try centre (5, 2): (1, 2) → (5, 6), (4, 2) → (5, 3), (4, 4) → (7, 3)
  2. 2Rotation, 90° clockwise, centre (5, 2)

AnswerRotation 90° clockwise, centre (5, 2)

Part (bi) · 2 marks

Describe fully the single transformation taking triangle T onto triangle B.

  1. 1(1, 2) → (0, 6): move 1 left and 4 up
  2. 2Translation by column vector (−1, 4)

AnswerTranslation column vector (−1, 4)

Part (bii) · 2 marks

Calculate the distance each point of triangle T moves when mapped onto triangle B.

  1. 1Distance = √((−1)² + 4²) = √17
  2. 2= 4.123… ≈ 4.12 cm

Answer4.12 or 4.123...

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Also searched as: 0580/43/O/N/21 · 0580_w21_qp_43 · 0580 w21 43 · question 1.
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