If two sides and the included angle of a triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent by which condition of congruence?

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ASA

AAS

SSS

SAS

answer is D.

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Detailed Solution

Given two sides and the included angle of a triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent
According to the SAS (Side-Angle-Side) theorem of congruency, if two sides and the included angle formed between them are equal to two sides and the included angle of another triangle, then these two triangles are said to be congruent.
Hence, the triangles are congruent by SAS condition.
Hence, the correct option is 4.

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