Question

In the adjoining figure ∆PQR is isosceles with PQ =PR, PL is the
bisector of ∠QPR
(i)State the three pair of equal parts in ∆PQL and ∆PRL and state the congruence

Answer 1

Answer:

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.