In δprq, the midsegment xy is 4 units long. what is the length of qr?

8 units

4 units

10 units

16 units

In this problem we have that

XY is parallel to QR

triangle PQR is similar to triangle PXY

so

by proportion

we have

substitutes

therefore

the answer is

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.