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Triangle Congruence
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Congruence in Isosceles Triangles

The Isosceles Triangle Theorem gives rise to two important properties of an equilateral triangle. See the following corollaries:


Corollaries
1. A triangle is equilateral if and only if it is equiangular.
2. Every angle of an equilateral triangle measures 60°.
Equilateral triangle ABC has all three angles measuring 60° each.

Proofs of these corollaries are included in the exercises.