Question

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

Explanation:

Step1: Analyze Side Markings

First, identify the number of congruent sides marked on each triangle. The left triangle has one side with one mark, one with two marks, and one with three marks. The right triangle has one side with one mark, one with two marks, and one with three marks.

Step2: Check Congruence Criterion

Using the SSS (Side - Side - Side) congruence criterion, if three sides of one triangle are congruent to three sides of another triangle, the triangles are congruent. Here, the corresponding sides (matching mark counts) are congruent. So, the two triangles have all three corresponding sides congruent, meaning they can be proven congruent by SSS.

Answer:

The two triangles have three pairs of congruent corresponding sides (by the side markings: one - mark, two - mark, and three - mark sides match), so they can be proven congruent by the SSS (Side - Side - Side) congruence criterion.