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The endpoint formula is
Y2 = (Ym * 2) - Y1
X2 = (Xm * 2) - X1
as in Ym is the y midpoint
and in Xm is X midpoint
you can also right the endpoint formula as
{ (2Xm) - X1 , (2Ym) - Y1 }
(X,Y)
for example:
You have endpoint (2,5) midpoint (3,6)
what is the endpoint of this
3 * 2 = 6
6 - 2 = 4
6 * 2 = 12
12 - 5 = 7
answer is (4,7)
Now lets prove that
use the midpoint formula,
Ym=(Y2+Y1)/2
Xm=(X2+X1)/2
4 + 2 = 6
6 / 2 = 3
7 + 5 = 12
12 / 2 = 6
The midpoint should be (3,5) and it is.
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∙ 9y ago
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