Question

In the figure QS=ST=RV AND angle TSU= angle RVU then prove that triangle PQR is an isosceles triangle.​

Answer 1

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.