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O-LevelMathematicsVectors and transformations4024/12 · Oct/Nov 2020 · Q196 Marks

Triangle A, triangle B and the point P (–2, 2) are drawn on the grid.

  1. (a)(i)Describe, fully, the single transformation that maps triangle A onto triangle B.[2]
  2. (a)(ii)Write down the matrix that represents this transformation.[2]
  3. (b)Triangle A is mapped onto triangle C by an enlargement, centre P, scale factor -1/2. On the grid, draw and label triangle C.[2]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2020). The mark or mark type is shown in brackets.

  1. [2] 19(a)(i) Reflection x-axis or y = 0
  2. B1 for each
  3. [2] 19(a)(ii) (1 0 / 0 -1)
  4. B1 for second column correct
  5. or SC1 for answer (-1 0 / 0 1)
  6. [2] 19(b) Triangle C at (-4, 1), (-4, 2), (-6, 2)
  7. B1 for triangle correct size and orientation, wrong centre
  8. or SC1 for a triangle with vertices at (0, 2), (0, 3), (2, 2) or (–4, 4), (-4, 5), (-6, 4)

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About this question

Topic
Vectors and transformations, O-Level Mathematics (syllabus 4024). Structured question, 6 marks.
Source
O-Level Mathematics, Oct/Nov 2020 Paper 1 Variant 2, question 19.

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