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4MA1/2FR Jan 2021, Question 16: Describing Transformations

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 6 marks

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The question, in short

Use a square grid to carry out two transformations of shape P and identify one transformation linking triangles T and U.

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

Part (a) · 2 marks

Rotate shape P by 180° around (−3, 2) on the grid and mark the result as Q.

  1. 1A 180° rotation about (−3, 2) sends (x, y) to (−6 − x, 4 − y)
  2. 2(3, −2) goes to (−9, 6)
  3. 3(3, −5) goes to (−9, 9)
  4. 4(−3, −5) goes to (−3, 9)
  5. 5(0, −2) goes to (−6, 6)

AnswerQ at (−9, 6), (−9, 9), (−3, 9), (−6, 6)

Part (b) · 1 mark

Move shape P by the vector (10, 8) on the grid and mark the result as R.

  1. 1The vector says move 10 right and 8 up
  2. 2(3, −2) goes to (13, 6)
  3. 3(3, −5) goes to (13, 3)
  4. 4(−3, −5) goes to (7, 3)
  5. 5(0, −2) goes to (10, 6)

AnswerR at (13, 6), (13, 3), (7, 3), (10, 6)

Part (c) · 3 marks

State the single transformation taking triangle T onto triangle U, giving all its details.

  1. 1Triangle U is twice as wide and twice as tall as triangle T, so it is an enlargement of scale factor 2
  2. 2Joining each vertex of T to the matching vertex of U, the lines all meet at (−3, 3)
  3. 3So it is an enlargement, scale factor 2, centre (−3, 3)

AnswerEnlargement, scale factor 2, centre (−3, 3)

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