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Congruent Triangles

Theorem 9.1.2

Math

Theorem 9.1.2: If two angles of a triangle are congruent, then the sides opposite to them are also congruent.

Proof:

Given: In ABC\triangle ABC We have, BC\angle B \cong \angle C

To prove:

ABAC\overline{AB}\cong\overline{AC}

Construction: Draw a line AD\overline{AD} the bisector of A\angle A, meeting BC\overline{BC} at point DD.

Proof: