Question

determine the relationship between the two triangles and whether or not they can be proven to be congruent.
answer
the two triangles are related by side - side - angle (ssa) , so the triangles

Explanation:

Step1: Identify markings on triangles

The first triangle has a right - angle mark and two side - length markings. The second triangle has a right - angle mark and two side - length markings. We can see two pairs of corresponding sides are equal and a non - included angle (the right - angle) is equal, which is SSA.

Step2: Recall congruence rules

SSA is not a valid congruence criterion in general for non - right - angled triangles. But for right - angled triangles, we use HL (Hypotenuse - Leg) which is a special case. Here we don't have hypotenuse - leg situation and SSA is not sufficient to prove congruence.

Answer:

The two triangles are related by Side - Side - Angle (SSA), so the triangles cannot be proven congruent.