Question

8) Prove if two sides of a triangle are congruent then the angle opposite to them are congruent,​

Answer 1

Answer:

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

Proof

Draw SR¯¯¯¯¯ , the bisector of the vertex angle ∠PRQ .

Since SR¯¯¯¯¯ is the angle bisector , ∠PRS≅∠QRS .

By the Reflexive Property ,

RS¯¯¯¯¯≅RS¯¯¯¯¯

It is given that ∠P≅∠Q .

Therefore, by AAS congruent, ΔPRS≅ΔQRS .

Since corresponding parts of congruent triangles are congruent,

PR¯¯¯¯¯≅QR¯¯¯¯¯

Answer 2

Answer:

If two sides of a triangle are congruent, then angles opposite those sides are congruent. ... The Converse of the Isosceles Triangle Theorem states: If two angles of a triangle are congruent, then sides opposite those angles are congruent.

Step-by-step explanation:

I hope it helps u dear friend ^_^