Question

proof that every line segment has a unique mid-point

Answer 1

Answer

Let C and D be 2 mid point of line segment AB.
Since C is the mid point, AC = CB= 1/2 AB
Similarly AD = BD= 1/2 AB
Thus AC= AD
AD + CD= AD

therefore  CD=0 units  or C collides with D
hence every line segment has one and only one playground

:)

Answer 2

let us assume that a line segment AB has two mid point C and D.
If C is the midpoint then AC = CB.
Again if D is the midpoint then AD = DB.
This is only possible if C and D coincides.
Thus line segment AB have a unique mid point.




hope it helps.