Question

6 Prove that triangle POQ is
congruent to triangle SOR
​

Answer 1

Answer:

6 Prove that triangle POQ is

congruent to triangle SOR

Solution:-

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.