Question

The midpoint of UV is point W. What are the coordinates of point V?

Answer 1

Its B

Explanation:

I took the quiz

Answer 2

Since you don't provide the coordinates of the point W, I will help you in a general form anyway. In the Figure below is represented the segment that matches this problem. We have two endpoints U and V. So, by using the midpoint formula we may solve this problem:

`Midpoint=W=W((x_(1)+x_(2))/(2), (y_(1)+y_(2))/(2))=W(x_(3), y_(3)) \\ \\ where:\\ \ U=U(x_(1), y_(1)) \ and \ V=V(x_(2), y_(2)) \\ \\ and: \\ x_(3)=(x_(1)+x_(2))/(2) \\ y_(3)=(y_(1)+y_(2))/(2)`

Therefore:

`x_(2)=2x_(3)-x_(1) \\ y_(2)=2y_(3)-y_(1)`

So we know
`x_(3) \ and \ y_(3)` but we also must know
`x_(1) \ and \ y_(1)`

Finally, knowing the points U and W we can find the endpoint V.