Question

determine the relationship between the two triangles and whether or not they can be proven to be congruent.
answer attempt 1 out of 2
the two triangles are related by , so the triangles cannot be proven congruent .

Explanation:

Step1: Identify given information

We have two triangles with one - side and one - non - included angle marked equal.

Step2: Recall congruence postulates

Congruence postulates are SSS (Side - Side - Side), SAS (Side - Angle - Side), ASA (Angle - Side - Angle), AAS (Angle - Angle - Side), and HL (Hypotenuse - Leg for right - triangles). The given information of one side and one non - included angle does not match any of these postulates.

Answer:

The two triangles are related by having one side and one non - included angle equal, so the triangles CANNOT be proven congruent.