The coordinates of point S are given. The midpoint of RS is (6,-10). Find the coordinates of point R.
10. S(0,8)
11. S(9,-3)
12. S(-2,-7)

Respuesta :

Call the midpoint M. Then it must satisfy

... M = (R + S)/2

... 2M = R + S . . . . multiply the above equation by 2

... R = 2M -S . . . . . subtract S

Since we need to use this equation several times, it is convenient to calculate ...

... 2M = 2(6, -10) = (12, -20)

All we need to do is subtract the given value of S from this.

10. R = (12 -0, -20 -8) = (12, -28)

11. R = (12 -9, -20 -(-3)) = (3, -17)

12. R = (12 -(-2), -20 -(-7)) = (14, -13)