Recognising an angle bisector

Recognising an angle bisector

Secondary 4
5 marks
TGM Original Questions

Point \(Q\) lies inside \(\angle DAE\). The points \(D\) and \(E\) are the feet of the perpendiculars from \(Q\) to the two arms. It is given that \(QD=QE\), \(AQ=17\) cm and \(QD=8\) cm.

  1. Prove that \(AQ\) bisects \(\angle DAE\).[3]
  2. Find \(AD\) and \(AE\).[2]

Solution:

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Answer:(a) RHS congruence. (b) \(AD=AE=15\) cm.

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