Question

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

Answer 1

Answer:

(2,8)

Step-by-step 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