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O-LevelMathematicsVectors and transformations4024/12 · May/June 2014 · Q174 Marks

The diagram shows triangles A, B and C. [Figure 17.1]

  1. (a)Triangle A can be mapped onto triangle B by a translation. Write down the column vector for the translation.[1]
  2. (b)Find the matrix representing the transformation that maps triangle A onto triangle C.[1]
  3. (c)Triangle A is mapped onto triangle D by an enlargement, scale factor 2, centre (5,0). Draw and label triangle D.[2]

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Mark scheme

Marking points from the official mark scheme (May/June 2014). The mark or mark type is shown in brackets.

  1. [1] (3; 1)
  2. [1] (-1 0; 0 1)
  3. [2] Correct enlargement, vertices (-1, 2), (1, 2), (1, 6)
  4. [2] B1 for two vertices corrector for correct size and correct orientation

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About this question

Topic
Vectors and transformations, O-Level Mathematics (syllabus 4024). Structured question, 4 marks.
Source
O-Level Mathematics, May/June 2014 Paper 1 Variant 2, question 17.

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