Question

determine if the triangles are congruent. if congruent, select the reason. if not, select not congruent.

Explanation:

Step1: Identify equal sides

One pair of sides is marked equal with a single tick mark and another pair of sides is marked equal with a double - tick mark.

Step2: Identify included angle

The angles between the corresponding equal sides are equal (the non - marked angles at the intersection of the sides with tick marks).

Step3: Apply congruence postulate

Since two sides and the included angle of one triangle are equal to two sides and the included angle of the other triangle, by the SAS postulate, the triangles are congruent.

Answer:

The triangles are congruent by the Side - Angle - Side (SAS) postulate.