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4MA1/2HR Jun 2022, Question 1: Describing Transformations

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 4 marks

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The question, in short

Using the grid with triangles A and B, identify the single transformation taking A to B, then move A by the vector (−4, 3) and label it C.

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

Part (a) · 3 marks

State fully the one transformation that carries triangle A onto triangle B.

  1. 1Triangle A has sides 2 and 1; triangle B has sides 6 and 3.
  2. 2Scale factor = 6 ÷ 2 = 3, so it is an enlargement.
  3. 3Join each vertex of B back to its matching vertex of A and extend the lines.
  4. 4The lines meet at (3, 0), the centre of enlargement.
  5. 5Enlargement, scale factor 3, centre (3, 0)

Answerenlargement, scale factor 3, centre (3, 0)

Part (b) · 1 mark

Shift triangle A by the vector (−4, 3) on the grid and name the result C.

  1. 1apply translation vector (−4, 3) to each vertex of triangle A
  2. 2original vertices of triangle A: (5, 1), (5, 3), (6, 1)
  3. 3(5, 1) + (−4, 3) = (1, 4)
  4. 4(5, 3) + (−4, 3) = (1, 6)
  5. 5(6, 1) + (−4, 3) = (2, 4)
  6. 6plot new points and draw triangle C at (1, 4), (1, 6), (2, 4)

AnswerTriangle drawn at (1, 4) (1, 6) (2, 4)

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