Question

The midpoint M of bar (RS) has coordinates (10.5,9). Point R has coordinates (1,10). Find the coordinates of point S.

Answer 1

Explanation:

the midpoint between 2 points A (xa, ya) and B (xb, yb) is

M ((xa + xb)/2, (ya + yb)/2)

(xa + xb)/2 = 10.5

(ya + yb)/2 = 9

let's say R = A

(1 + xb)/2 = 10.5

(10 + yb)/2 = 9

1 + xb = 21

xb = 20

10 + yb = 18

yb = 8

S = (20, 8)