Determine whether each pair of triangles is congruent.

a. Triangle 1: sides 8 inches, 11 inches, and 14 inches
Triangle 2: sides 11 inches , 14 inches, and 8 inches

yes --- side side side

To determine whether two triangles are congruent, we need to compare their corresponding sides and angles. In this case, we need to compare Triangle 1 and Triangle 2.

For sides, we can see that Triangle 1 has sides of lengths 8 inches, 11 inches, and 14 inches, while Triangle 2 has sides of lengths 11 inches, 14 inches, and 8 inches. The sides of Triangle 1 match the sides of Triangle 2, just in a different order. This is known as the Side-Side-Side (SSS) congruence criterion.

Therefore, Triangle 1 and Triangle 2 are congruent.