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4MA1/2FR Jun 2024, Question 18: Describing Transformations

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

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The question, in short

Using the grid with shapes A and B, identify the single transformation taking A to B, then rotate A 180° about (−1, 0) and label the result 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 that carries shape A onto shape B, giving its full details.

  1. 1The corner of A at (2, 2) matches the corner of B at (5, −3)
  2. 25 − 2 = 3 and −3 − 2 = −5, so the shape moves 3 right and 5 down
  3. 3It is a translation by the vector 3 right and 5 down

AnswerTranslation by the vector (3, −5)

Part (b) · 2 marks

Draw shape A turned 180° about the point (−1, 0) on the grid and mark it C.

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

AnswerC at (−6, −1), (−4, −1), (−4, −2), (−5, −2)

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