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4MA1/1HR Jun 2018, Question 3: Reflection

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1HR (Higher) · Calculator · 3 marks

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The question, in short

On a grid, triangle S has vertices (5, 3), (6, 3) and (6, 5). Carry out a reflection and a translation of S, drawing and labelling each image.

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

Part (a) · 2 marks

Draw the image of S after reflection in y = x and label it R.

  1. 1Reflect each vertex of triangle S in the line y = x
  2. 2Original vertices of S: (6,5), (6,3), (5,3)
  3. 3Swap x and y coordinates: (5,6), (3,6), (3,5)
  4. 4(5,6), (3,6), (3,5)

Answer(5,6), (3,6), (3,5)

Part (b) · 1 mark

Draw the image of S after a translation by (−4, −6) and label it T.

  1. 1Vector (−4, −6) means 4 left and 6 down
  2. 2(6, 5) → (2, −1) and (6, 3) → (2, −3)
  3. 3(5, 3) → (1, −3)
  4. 4T has vertices (2,−1), (2,−3), (1,−3)

Answer(2,−1), (2,−3), (1,−3)

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