Two triangles are congruent if two sides and the included angle between them in one of the triangles are equal to the corresponding sides and the angle included between them of the other triangle, this congruency condition is ___________.

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SAS

ASA

RHS

SSS

answer is A.

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Detailed Solution

Congruence is the term used to define an object and its mirror image.

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Two objects or shapes are said to be congruent if they superimpose on each other. Their shape and dimensions are the same. In the case of geometric figures, line segments with the same length are congruent and angle with the same measure are congruent.

Conditions for Congruence of Triangles are:

SSS (Side-Side-Side)
ASA (Angle-Side-Angle)
SAS (Side-Angle-Side)
AAS (Angle-Angle-Side)
RHS (Right Angle-Hypotenuse-Side)

So, when two triangles are congruent if two sides and the included angle between them in one of the triangles are equal to the corresponding sides and the angle included between them of the other triangle, then this congruency condition is called SAS or Side- Angle-Side congruency condition.

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