Question

60. In the given figure, PR is bisector of <QPS and
triangle SOR is an isosceles triangle with equal sides SO
and SR, then OS-OQ equals
(1)OQ/OR
(2)OP/OQ x OR
(3) OQ x OR / OP
(4) OP/OR ​

Answer 1

Answer:

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.