Question

Given: S is the midpoint of QR, QR ⊥PS and RSP and QSP are right angles Prove: PR is congruent to PQ

Answer 1

PS = PS .....Common Side

Angle RSP= Angle QSP ......Both 90°

QS = RS .....As S is the midpoint

therefore ∆RSP≈∆QSP ....By SAS Congruence

PR=PQ .....ByCPCT

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