Asked by Sahana E.
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.
Disclaimer: This is 10th grade geometry.
Answers
Answered by
Steve
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)
(-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)
Answered by
Reiny
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)
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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