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determine if the triangles are congruent. if congruent, select the reas…

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 one tick mark, and another pair of sides is marked equal with two tick marks.

Step2: Identify equal angle

The right - angles in both triangles are equal.

Step3: Apply congruence postulate

Since two sides and the included angle (the right - angle) of one triangle are equal to the corresponding two sides and 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.