Question

Triangle PQR has coordinates P(0, 0), Q(-4, 0), and R(0, 2). If ΔPQR ≅ ΔXYZ, what is the measure of XY?

Answer 1

The measure of XY in Triangle PQR is 4 units.

Step-by-step explanation:

To determine the measure of XY, we first need to find the length of PQ and QR. Using the distance formula, we calculate:

• PQ = √((-4-0)^2 + (0-0)^2) = √16 = 4
• QR = √((0-(-4))^2 + (2-0)^2) = √20 = 2√5

Since ΔPQR ≅ ΔXYZ, the corresponding sides are equal. So, XY is equal to the length of PQ, which is 4.