Exercise 31 Page 282

To see whether △ ABC and △ XYZ are congruent or not, let's find the lengths of the sides.

Since we know the coordinates of the vertices, we can use the Distance Formula. Let's start with finding AB.

We can find the lengths of the other sides in a similar way. Before we find the lengths, notice that the exercise asks about the congruence in a specific order. △ ABC? ≅△ XYZ This means that we need to check the lengths between the corresponding sides to see if each segment is congruent.

Since all three side pairs are congruent, the Side-Side-Side (SSS) Congruence Postulate guarantees that the triangles are congruent. △ ABC ≅△ XYZ