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4MA1/1FR Jan 2022, Question 12: Describing Transformations

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1FR (Foundation) · 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 draw the enlargement of A by scale factor 2 about O, labelled C.

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

Part (a) · 2 marks

State the one transformation, with all its details, that carries triangle A onto triangle B.

  1. 1B is a mirror image of A, so this is a reflection
  2. 2Matching corners (2, 1) and (−4, 1) are halfway either side of x = (2 + (−4)) ÷ 2 = −1
  3. 3Reflection in the line x = −1

AnswerReflection in the line x = −1

Part (b) · 2 marks

Draw triangle C as the image of A after enlarging by factor 2 centred at O.

  1. 1Centre O is the origin, so multiply every coordinate of A by 2
  2. 2(2, 1) → (4, 2), (2, 4) → (4, 8), (4, 1) → (8, 2)
  3. 3Draw and label triangle C with vertices (4, 2), (4, 8), (8, 2)

AnswerTriangle with vertices at (4, 2) (4, 8) (8, 2)

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