Question

In a figure PS=PR ,angle TPS=AngleQPR.Prove that PT=PQ

Answer 1

Given: PS=PR

angle TPS=angle QPR

To Prove that PT=PQ

Proof: in triangle PRS

PR = PS (Given)

angle PRS=angle PSR (angle opp to equal side are qual)

angle TPS= angle QPR (given)

adding angle RPS on both sides

angle TPS + angle RPS =angle QPR + angle RPS

angle TPR = angle QPS

in triangle PRT and PSQ,

PR = PS (Given)

Angle PRT = angle PSQ

Angle TPR = angle QPS

Hence, they are congruent with ASa

PT = PQ (CPCT)

Answer 2

Answer:

Yes pt =pq.

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