Friday, November 6, 2015

Give an example of line segment with midpoint (0, 0)

If the midpoint is (0,0), then the endpoints should verify
the following equations.


If (0,0) is mid point of (x1,y1)
and (x2,y2).


==> 0 = (x1+x2)/2 ==> x1+x2= 0
==> x1= -x2


==>
0 = (y1+y2)/2 ==> y1+y2= 0 ==>
y1=-y2.


Then, we have
unlimited possible line segment that their midpoint if the
origin.


The only condition is that the x-coordinates have
the same value and opposite signs ans the y-coordinates has the same value and opposite
signs.


For
example:


( 1, 3) and (-1,
-3)


(-2, 5) and (2,
-5)


(-17, 25) and (17,
-25)

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