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0580/22 May/Jun 2024, Question 9: Describing Transformations

Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 5 marks

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The question, in short

Using a grid showing triangles A and B, identify the single transformation taking A to B, then draw A's image after a given translation.

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 all details needed to define it.

  1. 1Corresponding sides: A has sides 1 and 2, B has sides 2 and 4, so scale factor 2
  2. 2Join (3, 1)→(5, 3) and (5, 1)→(9, 3) and extend: they meet at (1, −1)
  3. 3Enlargement, scale factor 2, centre (1, −1)

AnswerEnlargement, scale factor 2, centre (1, −1)

Part (b) · 2 marks

Draw the image of triangle A on the grid after moving it by the vector (−4, 3).

  1. 1Move each vertex 4 left and 3 up
  2. 2(3, 1) → (−1, 4), (3, 2) → (−1, 5), (5, 1) → (1, 4)
  3. 3Draw the triangle with vertices (−1, 4), (−1, 5) and (1, 4)

Answerimage at (−1, 4), (−1, 5), (1, 4)

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Also searched as: 0580/22/M/J/24 · 0580_s24_qp_22 · 0580 s24 22 · question 9.
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