Math
posted by Sahana E. on .
Determine the coordinates of the endpoint of a segment CE with one endpoint at C(3,10) and a midpoint at (1,6).
Disclaimer: This is 10th grade geometry.

The midpoint is halfway from one end to the other. Just figure out ho wfar you've gone and go twice that far.
(1,6)  (3,10) = (4,16)
That is, you've added (4,16) to (3,10) to get to (1,6).
So, add it again:
(1,6) + (4,16) = (5,22) 
Let the endpoint be (x,y)
so ..
(x+3)/2 = 1 and (y+10)/2 = 6
x+3 = 2 and y+10 = 12
x = 5 and y = 22
endpoint is (5,22)