1
Question
In the given figure, If PQ∥RS, prove that ΔPOQ∼ΔSOR.
[2 MARKS]
In the given figure, If PQ∥RS, prove that ΔPOQ∼ΔSOR.
[2 MARKS]
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Solution
Concept: 1 Mark
Proof: 1 Mark
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]
Concept: 1 Mark
Proof: 1 Mark
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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