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

Question

asked Oct 3, 2017 201k views

1 Answer

Rrcal · Answer 1 · 2017-10-06T22:09:01+0000

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)