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4MA1/1FR Jan 2019, Question 11: Reflection

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1FR (Foundation) · Calculator · 5 marks

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The question, in short

Using triangle S with vertices (6, 5), (6, 7) and (7, 5) on a grid, carry out two reflections and then identify one transformation linking S to the final image.

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

Part (a) · 2 marks

Draw and label T as the mirror image of S across the vertical line x = 5.

  1. 1Identify the line x = 5 on the grid
  2. 2Reflect each vertex of triangle S in the line x = 5
  3. 3Plot the reflected vertices and draw triangle T

AnswerT in correct place

Part (b) · 1 mark

Draw and label U as the mirror image of T across the vertical line x = 2.

  1. 1Identify the line x = 2 on the grid
  2. 2Reflect each vertex of triangle T in the line x = 2
  3. 3Plot the reflected vertices and draw triangle U

AnswerU correct

Part (c) · 2 marks

State the single transformation taking S directly to U, giving its type and full details.

  1. 1Determine the movement from a vertex of S to the corresponding vertex of U
  2. 2Find the horizontal shift: from x = 8 to x = 2 is a shift of −6
  3. 3Vertical shift is 0
  4. 4Write the transformation as a translation vector (−6, 0)

AnswerTranslation 6 left (the vector −6 across, 0 up)

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