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2 marksGeometric Problem Solving (Lines, Angles, Polygons)

CSEC Mathematics · May/June 2017 · Paper 2 · Question 5(a)(ii)

PTRS is a quadrilateral (not drawn to scale). Q is a point on PT such that QT=QR=QP. Angle QRT = 76°.

Determine, giving a reason for each step of your answer, the measure of angle PRT.

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Other parts of this question

  1. 5(a)(i)Determine, giving a reason for each step of your answer, the measure of angle RQT.[2 marks]
  2. 5(a)(iii)Determine, giving a reason for each step of your answer, the measure of angle SPT, given that angle SRT = 145° and angle PSR = 100°.[2 marks]
  3. 5(b)(i)Describe completely the transformation that maps Δ ABC to Δ A'B'C'.[3 marks]
  4. 5(b)(ii)The translation vector T = [4, -5] maps Δ A'B'C' to Δ A''B''C''. On the diagram above, draw the Δ A''B''C''.[2 marks]

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