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Triangle Congruence
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Congruence in Isosceles Triangles

Congruence of base angles in an isosceles triangle can easily be proven using triangle congruence.

Theorem. Isosceles Triangle Theorem
If two sides of a triangle are congruent, the angles opposite these sides are also congruent.

Given: ΔABC with   AB ¯ BC ¯
Prove: AC

Proof: