Question

212
APQR is an isosceles triangle in which PQ=PR. SP bisects exterior (APR and PQII SR.
Show that /SPR={PRQ and PQRS is a parallelogram.
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Answer 1

Explanation:

We have,

According to given figure.

PQ=PR(giventhat)

QS=SR(Bydefinationofmidpoint)

PS=PS(Commonline)

Then,

ΔSPQ≅ΔSPR (BY congruency S.S.S.)

Hence, PS bisects ∠PQR by definition of angle bisector.