Question

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

Answer 1

Answer:

4 units

Step-by-step explanation:

Since the two triangles are similar, their sides are proportional. To find the length of the side, you need to use the distance formula:

$\sqrt{(x_{1} - x_{2})^{2} + (y_{1} - y_{2})^{2} }$

The coordinates you will use are (0, 0) and (-4, 0) because they correspond to points X and Y in Triangle PQR:

$\sqrt{(0 - (-4))^{2} + (0 - 0)^{2}}$

Then, simplify everything under the radical:

$\sqrt{16}$

Finally, take the square root of 16:

$\sqrt{16}$ = 4

Answer 2

Answer:

D

Step-by-step explanation:

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