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0580/43 Oct/Nov 2025, Question 7: Negative Enlargement

Cambridge IGCSE Mathematics 0580 · Paper 43 (Extended) · Calculator · 5 marks

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The question, in short

Using the grid with triangles D, E and F, describe fully the single transformation mapping D onto E, and the single transformation mapping D onto F.

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 that takes triangle D to triangle E.

  1. 1Same size, same orientation → translation
  2. 2(6, 10) → (8, 2): move 2 right and 8 down
  3. 3Translation by column vector (2, −8)

AnswerTranslation by column vector (2, −8)

Part (b) · 3 marks

Describe fully the single transformation that takes triangle D to triangle F.

  1. 1F is smaller and upside down → enlargement with negative scale factor
  2. 2Sides of F are 1/3 of D: scale factor −1/3
  3. 3Join corresponding vertices, e.g. (6, 10) to (−6, 2) and (9, 4) to (−7, 4): they cross at (−3, 4)
  4. 4Enlargement, scale factor −1/3, centre (−3, 4)

AnswerEnlargement, scale factor −1/3, centre (−3, 4)

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Also searched as: 0580/43/O/N/25 · 0580_w25_qp_43 · 0580 w25 43 · question 7.
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