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4MA1/2FR Jun 2025, Question 20: Reflection

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

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The question, in short

On a grid, transform shape A by reflection and shape B by enlargement, drawing each image in the required position.

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

Part (a) · 2 marks

Reflect shape A, the trapezium with vertices (5, 2), (8, 2), (7, 3), (6, 3), in the line y = x and draw the image.

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

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

Part (b) · 2 marks

Enlarge shape B, the trapezium with vertices (3, 2), (5, 2), (4, 4), (3, 4), by scale factor 2 about centre (1, 1) and draw the image.

  1. 1From centre (1, 1), double the distance to each vertex
  2. 2(3, 2): 2 right 1 up → 4 right 2 up → (5, 3)
  3. 3(5, 2): 4 right 1 up → 8 right 2 up → (9, 3)
  4. 4(4, 4) → (7, 7) and (3, 4) → (5, 7)
  5. 5Join (5, 3), (9, 3), (7, 7), (5, 7)

AnswerTrapezium with vertices at (5, 3), (9, 3), (7, 7) and (5, 7)

Stuck on a step? Read the free lesson: Reflection

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Also searched as: 4MA1 2FR June 2025 · 4MA1/2FR · 4ma1 jun25 2fr · question 20.
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