Maths-
General
Easy

Question

In the given figure, PQ || RS. Check whether ΔPOQ i congruent to ΔSOR Give reason for your answer:

Hint:

Find the possible angles and then conclude whether the congruence is
satisfied.

The correct answer is: possible angles


    In ΔPOQ and ΔSOR, we have
    straight angle P O Q equals straight angle S O R(Vertically opposite angles)
    straight angle Q P O equals straight angle R S O( since  PQ || RS, alternate angles)
    straight angle S R O equals straight angle P Q O( since  PQ || RS, alternate angles)
    By, AAA similarity criterion we can say that ΔPOQ is similar to ΔSOR, but we can’t
    conclude that ΔPOQ ⩭ ΔSOR

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