AAS congruence

Dependencies: ASA congruence and Triangle interior angles sum to 180°.

Statement

Suppose two triangles $\triangle ABC$ and $\triangle A'B'C'$ satisfy

\angle A = \angle A',\qquad \angle B = \angle B',\qquad |BC| = |B'C'|.

Note: $BC$ is the side enclosed between $\angle B$ and $\angle C$ , but $\angle A$ is not adjacent to $BC$ — that is, the data given is "two angles + one non-included side". Then $\triangle ABC \cong \triangle A'B'C'$ .

$AAS congruence: \angle A = \angle A', \angle B = \angle B', |BC| = |B'C'| ⇒ \triangle ABC \cong \triangle A'B'C'$

Statement

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