Question

question determine the relationship between the two triangles and whether or not they can be proven to be congruent. answer a) congruent b) not congruent the two triangles are related by hypotenuse - leg (hl), so the triangles can be proven congruent.

Explanation:

Step1: Analyze the given information

We have two triangles. The Hypotenuse - Leg (HL) congruence criterion is used for right - angled triangles. But from the given image, we are not told that these are right - angled triangles. Also, for HL, we need a right - angle, hypotenuse and a leg. Here, we have one side (marked equal) and one non - right angle.

Step2: Check congruence criteria

The congruence criteria are SSS (Side - Side - Side), SAS (Side - Angle - Side), ASA (Angle - Side - Angle), AAS (Angle - Angle - Side) and HL (for right - angled triangles). The given information (one side and one non - right angle) does not match any of the standard congruence criteria (since for SAS the angle should be included between the two sides).

Answer:

The two triangles cannot be proven congruent.