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4MA1/2HR Jun 2025, Question 5: Reflection

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

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The question, in short

On grids, transform shape A by reflecting it in the line y = x, and enlarge shape B by scale factor 2 about centre (1, 1).

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

Part (a) · 2 marks

Reflect shape A, a trapezium with vertices (5, 2), (6, 3), (7, 3), (8, 2), in the line y = x on the grid.

  1. 1Reflecting in y = x swaps the coordinates: (x, y) → (y, x)
  2. 2(5, 2) → (2, 5)
  3. 3(6, 3) → (3, 6)
  4. 4(7, 3) → (3, 7)
  5. 5(8, 2) → (2, 8)
  6. 6Join the four image points

AnswerA trapezium with vertices at (2, 5), (2, 8), (3, 7) and (3, 6)

Part (b) · 2 marks

Enlarge shape B, a trapezium with vertices (3, 2), (3, 4), (4, 4), (5, 2), by scale factor 2 with centre (1, 1).

  1. 1From (1, 1), double the distance to each vertex
  2. 2(3, 2): 2 right, 1 up → 4 right, 2 up → (5, 3)
  3. 3(3, 4): 2 right, 3 up → (5, 7)
  4. 4(4, 4): 3 right, 3 up → (7, 7)
  5. 5(5, 2): 4 right, 1 up → (9, 3)
  6. 6Join the four image points

AnswerA trapezium with vertices at (5, 3), (5, 7), (7, 7) and (9, 3)

Stuck on a step? Read the free lesson: Reflection

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