Question

prove that there exists one and only one mid point of a line segment​

Answer 1

Suppose C and C' are two mid points of segment AB

Then AC = 1/2 AB

and AC' = 1/2 AB

AC = AC' [Things which are equal to the same thing are equal to one another.]

This is possible only when C and C' coincide.

Hence every line segment has one and only one midpoint.

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