prove that every line segment has one and only one midpoint
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since line can be divided into 2 equal halves it has only one midpoint
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1). suppose C and C' are two mid points of segment AB.
2). Then AC = AB.
3). and AC' = AB.
4). AC = AC' ( things which are equal to the same thing are equal to one another. )
5). This is possible only when C and C' are coincide.
6). Hence every line segment has one and only one midpoint.
2). Then AC = AB.
3). and AC' = AB.
4). AC = AC' ( things which are equal to the same thing are equal to one another. )
5). This is possible only when C and C' are coincide.
6). Hence every line segment has one and only one midpoint.
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