Question

a line segment as only one midpoint show

Answer 1

let suppose ad has two midpoints c and c'

ac +bc=ab or ac =1/2ab. (1)

ac'+bc'=ab or ac'=1/2ab. (2)

from (1)&(2)
ac'=ac=1/2ab
ac'=ac
this is only possible when c and c' coincide
hence ab has only one midpoint that c
i.e c=c'






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