Question

K is the midpoint of line segment lm. the coordinates of k are (5, 12) and the coordinates of l are (2, 6), find the coordinates of m.

Answer 1

midpoint (K) is (5,12)

L = (2,6)
M = (x2,y2)

midpoint = (x1 + x2)/2 , (y1 + y2) / 2
m = (2 + x2) / 2 , (6 + y2)/2

(2 + x) / 2 = 5
2 + x = 5 * 2
2 + x = 10
x = 10 - 2
x = 8

(6 + y) / 2 = 12
6 + y = 12 * 2
6 + y = 24
y = 24 - 6
y = 18

so M = (8,18) <==