Question

In
the given figure if PQ||RS, prove
that
∆POQ~∆ SOR
​

Answer 1

PQ || RS (Given)

So, ∠P =∠S (Alternate angles)

and ∠Q =∠R

Also, ΔPOQ ~ ΔSOR (Vertically opposite angles)

Therefore, ΔPOQ ~ ΔSOR (AAA similarity criterion)

Answer 2

Step-by-step explanation:

RS parallel PQ

angle P =angle S

angleQ =angle R

triangle POQ = triangle SOR

prove that