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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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10y ago

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