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SAS (Side-Angle-Side) Congruence-Axiom

Two triangles are congruent if two sides and the included angle of one are equal to the corresponding sides and included angle of the other.

Note: This axiom is known as side-angle-side or SAS-Congruence-Axiom or SAS-Criterion because it refers to two sides and the angle between them.

Side-angle-side or SAS-Congruence-Axiom or SAS-Criterion

In the figure, there are two triangles ABC and DEFand if AB = DE, BC = EF, and B = E then ΔABC ΔDEF. Also, AC = DF, A = D and C = F will be true.

Remark: Here, we should note that for SAS congruence, the equality of included angle is essential. If two sides and one other angle (not included angle) are equal, then two triangles will not necessarily be congruent.

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