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4MA1/2FR Jan 2023, Question 16: Rotation

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 3 marks

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The question, in short

Using the grid with triangle A at (3, 1), (3, 2) and (5, 1), perform a 180° rotation and a vector translation, drawing and labelling the resulting triangles.

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

Part (a) · 2 marks

Rotate triangle A 180° about the point (1, −1) on the grid and label the image triangle B.

  1. 1Rotate each vertex of triangle A 180° about (1, −1)
  2. 2(3, 1) → (−1, −3)
  3. 3(3, 2) → (−1, −4)
  4. 4(5, 1) → (−3, −3)
  5. 5Label the new triangle B

AnswerTriangle drawn at (−1, −3) (−1, −4) (−3, −3)

Part (b) · 1 mark

Translate triangle A by the vector (−7, 3) on the grid and label the image triangle C.

  1. 1Translate each vertex of triangle A by vector (−7, 3)
  2. 2(3, 1) → (−4, 4)
  3. 3(3, 2) → (−4, 5)
  4. 4(5, 1) → (−2, 4)
  5. 5Label the new triangle C

AnswerTriangle drawn at (−4, 4) (−4, 5) (−2, 4)

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