Question

In the figure, PS=QR and PS||QR. Prove that PQ=SR​

Answer 1

Hello

Given => PS = QR & PS || QR

To prove => PQ = SR

To Proof => In ∆PRS & ∆PQR

PS = QR (Given)

Angle SRP = RPQ (Alternate Interior Angles)

PR = PR ( Common)

So, By SAS Congruency Rule

∆PRS Congruent to ∆PQR

By CPCT {Corresponding Part of Congruent Triangles}

PQ = SR

Hence Proved

Answer 2

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