Question

determine the relationship between the two triangles and whether or not they can be proven to be congruent. the two triangles are related by , so the triangles .

Explanation:

Step1: Analyze the side - side - side (SSS) congruence criterion

The SSS congruence criterion states that if the three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.

Step2: Check the side - side - side (SSS) congruence for the given triangles

From the markings on the triangles (the tick marks which represent equal side lengths), we can see that the three sides of one triangle are equal to the three sides of the other triangle. Also, the two triangles are mirror images of each other, which means they are related by reflection.

Answer:

The two triangles are related by reflection, so the triangles are congruent.