Which Pair of Triangles Can Be Proven Congruent By SAS?

 

Answer: The first pair of triangles can be proven congruent by SAS.

Step-by-step explanation:

According to the SAS postulate, two sides and the included angle of a triangle are congruent if they are equal to two sides and the included angle of another triangle.

The included angle of one triangle is equal to two sides and the included angle of another triangle in the initial pair of triangles. Hence the two triangles are said to be congruent by the SAS postulate.

The pair of triangles in the second illustration is equivalent according to the ASA postulate rather than the SAS postulate.

The pair of triangles in the third figure is not congruent by any postulate or theorem [Because there is no SSA rule].

The pair of triangles in the fourth illustration is equivalent according to the SSS postulate rather than the SAS postulate.

 

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