Question

determine the relationship between the two triangles and whether or not they can be proven to be congruent.

Explanation:

Step1: Analyze the given information

We are given two triangles. One triangle has two sides marked as equal (indicated by the tick marks) and an included angle (not marked in a special way here). The other triangle has two sides marked as equal (one side with one tick mark, another side with two tick marks as in the first triangle) and an angle (but it is not the included angle for the two - side - pair in the second triangle).

Step2: Recall congruence criteria

The congruence criteria for triangles are SSS (Side - Side - Side), SAS (Side - Angle - Side), ASA (Angle - Side - Angle), AAS (Angle - Angle - Side), and HL (Hypotenuse - Leg for right - triangles). For SAS, the angle must be included between the two sides.

Answer:

The two triangles are not congruent. There is no congruence criterion (like SSS, SAS, ASA, AAS, HL) that can be applied to prove their congruence.