Question

In the given figure, PQ || RS and PQ=RS. Prove that ∆ POQ ≅ ∆SO​

Answer 1

Given:-

PQ∥RS

To prove:-

△POQ∼△SOR

Proof:-

In △POQ and △SOR

∠POQ=∠SOR[∵Vertically opposite angles]

∠P=∠S[∵As PQ∥RS, Alternate angles]

∠Q=∠R[∵As PQ∥RS, Alternate angles]

Using AAA similarity function criteria,

△POQ∼△SOR

Hence proved.