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4MA1/2FR Jun 2020, Question 13: Rotation

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 3 marks

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The question, in short

Using a grid with triangles A and B, identify the line of reflection between them, then rotate a shaded shape 90° anticlockwise about the origin.

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

Part (a) · 1 mark

Draw and label the mirror line M on the grid so that triangle A maps onto triangle B.

  1. 1Identify corresponding vertices of triangle A and triangle B.
  2. 2Find the midpoint between each pair of corresponding vertices.
  3. 3All midpoints lie on the line x = −1.5.
  4. 4Draw the vertical line x = −1.5 and label it M.

Answerx = −1.5

Part (b) · 2 marks

Draw the image of shaded shape C after a 90° anticlockwise turn about (0, 0).

  1. 1Identify the coordinates of the vertices of shape C: (2,1), (4,1), (2,3), (5,3).
  2. 2Apply 90° anticlockwise rotation about (0,0): (x,y) → (−y,x).
  3. 3Rotate each vertex: (2,1) → (−1,2), (4,1) → (−1,4), (2,3) → (−3,2), (5,3) → (−3,5).
  4. 4Plot the new vertices and draw the rotated shape.

Answer(−1,2), (−1,4), (−3,2), (−3,5)

Stuck on a step? Read the free lesson: Rotation

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