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

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hala718's profile pic

hala718 | High School Teacher | (Level 1) Educator Emeritus

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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)

gelsaied's profile pic

gelsaied | Student, College Freshman | (Level 1) Honors

Posted on

(3,-4) and (-3,4)

(8,6) and (-8,-6)

(2,-6) and (-2,6)

The x and y cooridnates should have the SAME values, just with opposite signs.

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