Question

Prove that a line segment has one and only midpoint

Answer 1

Hii dear here is your answer


Prove that every line segment has one and only one midpoint.

Suppose C and C' are two mid points of segment AB.Then AC = AB.and AC' = 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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Answer 2

Prove that every line segment has one and only one midpoint.

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

Then AC = AB.

and AC' = 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.