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2 marksGeometric Problem Solving (Lines, Angles, Polygons)

CSEC Mathematics · January 2014 · Paper 2 · Question 6(a)(iii)

In the figure below, not drawn to scale, the lines AQB and CRPD are parallel and MQRN is a transversal. PQ = PR and angle QPR = 28°.

Calculate, giving reasons for your answer, the value of z.

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Other parts of this question

  1. 6(a)(i)Calculate, giving reasons for your answer, the value of x.[2 marks]
  2. 6(a)(ii)Calculate, giving reasons for your answer, the value of y.[2 marks]
  3. 6(b)(i)State the coordinates of the vertex, J, of triangle JKL.[1 mark]
  4. 6(b)(ii)State the length of the side K'L' of triangle J'K'L'.[1 mark]
  5. 6(b)(iii)Describe FULLY a single transformation that maps triangle JKL onto triangle J'K'L'.[2 marks]
  6. 6(b)(iv)State the coordinates of triangle J''K''L'', the image of triangle JKL, under the translation by the vector [5, -3].[2 marks]

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