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0580/23 May/Jun 2021, Question 10: Describing Transformations

Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 4 marks

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The question, in short

Using a grid showing triangles T and A, identify the one transformation taking T to A, then construct T's image after enlargement with scale factor −1/2 about (0, 0).

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

Part (a) · 2 marks

State the single transformation, with all its details, that carries triangle T onto triangle A.

  1. 1(2, 2) maps to (1, −6)
  2. 2Move 1 left and 8 down
  3. 3Translation by column vector (−1, −8)

AnswerTranslation column vector (−1, −8)

Part (b) · 2 marks

Plot and draw the triangle produced by enlarging T by scale factor −1/2 with centre (0, 0).

  1. 1Multiply each vertex of T by −1/2
  2. 2(2, 2) → (−1, −1), (8, 2) → (−4, −1), (2, 4) → (−1, −2)
  3. 3Plot and join these three points

AnswerImage at (−1, −1), (−4, −1), (−1, −2)

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