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]
Open in App
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]
Suggest Corrections
7
