SOLUTION: An endpoint of a segment has coordinates 0,0. The midpoint has coordinates a,b Find the coordinates of the other endpoint.

Algebra ->  Points-lines-and-rays -> SOLUTION: An endpoint of a segment has coordinates 0,0. The midpoint has coordinates a,b Find the coordinates of the other endpoint.      Log On


   



Question 642636: An endpoint of a segment has coordinates 0,0. The midpoint has coordinates a,b Find the coordinates of the other endpoint.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
An endpoint of a segment has coordinates 0,0. The midpoint has coordinates a,b Find the coordinates of the other endpoint.
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Let the coordinates of the other endpoint be (x,y)
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Note: the coordinates of the midpoint are the average of the corresponding
endpoint coordinates.
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a = (0+x)/2
2a = x
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b = (0+y)/2
2b = y
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Coordinates of the "other" endpoint: (2a,2b)
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Cheers,
Stan H.
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