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4 marksImage and Object Location (Transformations)

CSEC Mathematics · May/June 2008 · Paper 2 · Question 14(c)(i)a)

The vertices of triangle DEF are D(5, 12), E(2, 7) and F(8, 4). Triangle DEF undergoes an enlargement with centre, O, and scale factor, k. Its image is D'E'F' where D (5, 12) → D'(7.5, 18).

Determine the value of k.

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Other parts of this question

  1. 14(a)Evaluate X² + Y.[4 marks]
  2. 14(b)Find the 2 x 2 matrix which maps Q' back to Q.[2 marks]
  3. 14(c)(i)b)Hence write down the coordinates of E' and F'.[4 marks]
  4. 14(c)(ii)a)Determine the 2 x 2 matrix that represents a clockwise rotation of 90° about the origin.[5 marks]
  5. 14(c)(ii)b)Determine the coordinates of D''E''F'', the image of D'E'F', under this rotation.[5 marks]
  6. 14(c)(ii)c)Determine the 2 x 2 matrix that maps triangle DEF onto triangle D''E''F''.[5 marks]

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