Triangle PQR has coordinates P(0,0) Q(-4,0) R(0,2). If PQR=XYZ, What measures of XY
1 answer:
Measure of XY is 4 units
Step-by-step explanation:
Given vertices are:
P(0,0) Q(-4,0) R(0,2)
When two triangles are equal then theire respective sides and angles will also be equal.
If PQR = XYZ then PQ = XY
So in order to find the length of XY we have to find the length of PQ
Distance formula will be used to find the length of PQ
So,
![PQ = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\= \sqrt{(-4-0)^2+(0-0)^2}\\=\sqrt{(-4)^2+(0)^2}\\= \sqrt{16+0}\\= \sqrt{16}\\= 4](https://tex.z-dn.net/?f=PQ%20%3D%20%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D%5C%5C%3D%20%5Csqrt%7B%28-4-0%29%5E2%2B%280-0%29%5E2%7D%5C%5C%3D%5Csqrt%7B%28-4%29%5E2%2B%280%29%5E2%7D%5C%5C%3D%20%5Csqrt%7B16%2B0%7D%5C%5C%3D%20%5Csqrt%7B16%7D%5C%5C%3D%204)
If PQ = 4 then XY = 4
Hence,
Measure of XY is 4 units
Keywords: Units, coordinate geometry
Learn more about coordinate geometry at:
#LearnwithBrainly
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