Question

prove that every line segment has one and only one mid-point (1), find the value of a .​

Answer 1

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

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

•Then AC = 1/2AB.

•and AC' = 1/2AB.

•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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