Question

The midpoint of line UV is (5, –11). The coordinates of one endpoint are U(3, 5). Find the coordinates of endpoint V.

Answer 1

7,-27

Answer 2

( x1 + x2)/2 = x - midpoint

So

(3 + x)/2 = 5

Times by 2

3 + x = 10

or x= 7

Can you do the same for y?

Answer 3

(7,-27)

Answer 4

if we have the end point at (0,0) then the midpoint is easy to work with :)

(3, 5) (5,–11) (x , y )
-3 -5 -3 -5 -3 -5
-----------------------
(0, 0) (2,-16) (x-3, y-5)

since the midpoint is half way, double it to get to the end.



(3, 5) (5,–11) (x , y )
-3 -5 -3 -5 -3 -5
-----------------------
(0, 0) (2,-16) (x-3, y-5)
4 -32
---------
(x-1 , y-37)

we modified (x=3,y=5) to begin with so lets sub those values back in.

(3-1, 5-37) = (2, -27)

Answer 5

or simply, midpoint - endpoint; double it, and add back in the endpoint