Posted by Sahana E. on Thursday, September 29, 2011 at 5:32pm.
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.

Math  Steve, Thursday, September 29, 2011 at 5:52pm
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)

Math  Reiny, Thursday, September 29, 2011 at 6:12pm
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)
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