Question

HELP PLS 10 points, i need the filled in answers!

Answer 1

Answer:  

Given : PQR is a triangle.

Such that,  $PQ \cong PR$

Prove: $\angle Q \cong \angle R$

Construct median PM.

⇒M is the mid point of line segment QR ( by the definition of median )

Therefore, $QM\cong MR$ (By the definition of mid point)

$PQ\cong PR$ (given)

$PM \cong PM$( reflexive)

Thus, By SSS congruence postulate,

$\triangle PQM \cong \triangle PRM$

Thus, BY CPCTC,

$\angle Q\cong \angle R$

Hence proved.