# Converse of IST: Template

- Author:
- Tim Brzezinski

- Topic:
- Isosceles Triangles

**Students:**Use this template to

**construct a triangle with 2 CONGRUENT ANGLES.**These 2 congruent angles should have vertices

*A*and

*B*. In essence, construct this triangle in such a way that and .

## 1.

What can we conclude about a triangle with 2 congruent angles? Describe in detail.

## 2.

Is it ever possible for such a triangle to be equilateral? If so, how?

## 3.

Given that angles *A* and *B* are congruent, formally prove your conclusion you wrote for (1).