Question

Triangle PQR has coordinates P(0,0), Q(-4,0), and R (0,2). If triangle PQR is congruent to triangle XYZ, what is the measure of XY?

A) 4
B) 2
C) -2
D) 9

Answer 1

The measure of side XY in triangle XYZ, which is congruent to triangle PQR, is 4 units, based on the distance between points P and Q.

Step-by-step explanation:

To find the measure of XY in triangle XYZ, which is congruent to triangle PQR, we need to use the coordinates of PQR to calculate the length of one of its corresponding sides. Given P(0,0), Q(-4,0), and R(0,2), we can see that P to Q will be along the x-axis, and since Q has an x-coordinate of -4 and P has an x-coordinate of 0, the distance PQ is 4 units. This means that the measure of side XY would also be 4 units given that triangle PQR is congruent to triangle XYZ, and corresponding sides of congruent triangles are equal in length.