In triangle PQR is an isoscelestriangle in whichPQ = PR. O is a points

1.	In triangle PQR is an isoscelestriangle in whichPQ = PR. O is a pointsuch that QO = RO.Prove that PO bisectsangle QPR.
Answer» 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.

In triangle PQR is an isoscelestriangle in whichPQ = PR. O is a pointsuch that QO = RO.Prove that PO bisectsangle QPR.

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.