Question

The midpoint of UV is (5, -10). The coordinates of one endpoint are U(3,6). Find the coordinates of endpoint V.

Answer 1

xu and yu = coordinates of point U

xu = 3 y , yu = 6

xv and yv = coordinates of point V

xm and ym = coordinates of point midpoint

xm = 5 , ym = - 10


xm = ( xu + xv ) / 2

5 = ( 3 + xv ) / 2

Muliply both sides by 2

10 = 3 + xv

Subtract 3 to both sides

7 = xv

xv = 7


ym = ( yu + yv ) / 2

- 10 = ( 6 + yv ) / 2

Muliply both sides by 2

- 20 = 6 + yv

Subtract 6 to both sides

- 26 = yv

yv = - 26


Coordinates of point V:

( 7 , - 26 )