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elena-14-01-66 [18.8K]

3 years ago

13

A line segment has (x1, y1) as one endpoint and (xm, ym) as its midpoint. Find the other endpoint (x2, y2) of the line segment i

n terms of x1, y1, xm, and ym.

1 answer:

N76 [4]3 years ago

5 0

Midpoint (xm, ym) = ((x1 + x2)/2, (y1 + y2)/2)
xm = (x1 + x2)/2
2xm = x1 + x2
x2 = 2xm - x1
y2 = 2ym - y1

Therefore, (x2, y2) = (2xm - x1, 2ym - y1)

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