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determine the relationship between the two triangles and whether or not…

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

Explanation:

Step1: Observe triangle features

Both triangles have a right - angle and a single congruent side marked.

Step2: Recall congruence criteria

The Hypotenuse - Leg (HL) criterion for right - triangles requires the hypotenuse and one leg to be congruent. Here we don't know about the hypotenuse, and the Side - Angle - Side (SAS) criterion requires two sides and the included angle to be congruent. We only have one side and one non - included right - angle. There is not enough information to prove congruence.

Step3: Determine relationship

The triangles have a right - angle and one side congruent, but they are not congruent. They are similar in shape (both right - triangles) but not congruent in size.

Answer:

The two triangles are related by having a right - angle and one congruent side, so the triangles are not congruent.