Converse of Isosceles Triangle Theorem

If two angles of a triangle are congruent, then the sides opposite to these angles are congruent.

 

Proof

Let S be the midpoint of .

Join R and S.

Since S is the midpoint of .

By the Reflexive Property,

It is given that .

Therefore, by SAS,

Since corresponding parts of congruent triangles are congruent,