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4MA1/1F Jun 2021, Question 12: Describing Transformations

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

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The question, in short

Using the grid, carry out a reflection of the shaded shape across x = 6, then identify the single transformation taking triangle P to triangle Q.

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

Part (a) · 2 marks

Draw the mirror image of the shaded shape after reflecting it in the vertical line x = 6.

  1. 1Identify the original vertices of the shaded shape from the grid
  2. 2Reflect each vertex in the line x = 6 by calculating the horizontal distance from each point to the line x = 6
  3. 3For each point, move the same distance to the opposite side of x = 6
  4. 4Plot the new points: (6,4), (10,5), (11,1), (9,3)
  5. 5(6, 4) (10, 5) (11, 1) (9, 3)

Answer(6, 4) (10, 5) (11, 1) (9, 3)

Part (b) · 3 marks

State the one transformation, with all its details, that moves triangle P exactly onto triangle Q.

  1. 1P and Q are the same shape and the same way up, but Q is bigger: an enlargement
  2. 2P's base runs from x = 1 to x = 4 (length 3); Q's from x = 3 to x = 12 (length 9)
  3. 3Scale factor = 9 ÷ 3 = 3
  4. 4Each vertex of Q is 3 times P's coordinates, e.g. (1, 1) → (3, 3), so the centre is the origin
  5. 5Enlargement Scale factor 3 [Centre] (0, 0)

AnswerEnlargement Scale factor 3 [Centre] (0, 0)

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