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Question
In the given figure, If PQ∥RS, prove that ΔPOQ∼ΔSOR.
In the given figure, If PQ∥RS, prove that ΔPOQ∼ΔSOR.
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Solution
PQ∥RS [Given]
⇒∠P=∠S [Pair of alternate angles]
and ∠Q=∠R [Pair of alternate angles]
Also, ∠POQ=∠SOR [Vertically opposite angles]
∴ΔPOQ∼ΔSOR [AAA similarity criterion]
PQ∥RS [Given]
⇒∠P=∠S [Pair of alternate angles]
and ∠Q=∠R [Pair of alternate angles]
Also, ∠POQ=∠SOR [Vertically opposite angles]
∴ΔPOQ∼ΔSOR [AAA similarity criterion]
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