Question

The midpoint M of CD has coordinates (6, 6). Point D has coordinates (10, 4). Find the coordinates of point C.

Write the coordinates as decimals or integers.

Answer 1

(2,8)

Explanation:

The midpoint of a line segment with endpoints (a,b) and (c,d) is

((a+c)/2 , (b+d)/2) .

So one endpoint is given and the midpoint is given, we are asked to find the other midpoint.

(10+c)/2=6 (4+d)/2=6

10+c=12 4+d=12

c=2 d=8

(2,8) is the other endpoint