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4MA1/1F Jan 2023, Question 14: Rotation

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 4 marks

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The question, in short

Use the grid to perform a rotation of triangle A and identify the single transformation linking triangles B and C.

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

Part (a) · 2 marks

Turn triangle A 90° anticlockwise around the origin O and draw the resulting triangle on the grid.

  1. 1Original coordinates of triangle A: (2, −1), (2, −3), (5, −3)
  2. 2Rotation 90° anticlockwise about origin: (x, y) → (−y, x)
  3. 3Apply to (2, −1): (−(−1), 2) = (1, 2)
  4. 4Apply to (2, −3): (−(−3), 2) = (3, 2)
  5. 5Apply to (5, −3): (−(−3), 5) = (3, 5)
  6. 6Plot points (1, 2), (3, 2), (3, 5) to form rotated triangle

Answer(1, 2) (3, 2) (3, 5)

Part (b) · 2 marks

State fully the one transformation that takes triangle B onto triangle C, giving its type and details.

  1. 1Corresponding vertices: B (1, 2) → C (3, 6) and B (3, 2) → C (9, 6)
  2. 2Each coordinate is multiplied by 3, so the scale factor is 3
  3. 3Lines through matching vertices meet at the origin, so the centre is (0, 0)
  4. 4Enlargement, scale factor 3, centre (0, 0)

AnswerEnlargement, scale factor 3 and (0,0)

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