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Converse of IST: Template

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).