Question

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

Answer 1

Answer:

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.

Step-by-step explanation:

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