How to prove that one line have only one mid point

1.	How to prove that one line have only one mid point
Answer» Proof: Let us prove this statement by contradiction method. Let us assume that the line segment PT has two midpoints R and S.{tex}\\Rightarrow \\quad P R=\\frac{1}{2} P T{/tex}...........(1){tex}P S=\\frac{1}{2} P T{/tex}\xa0..........\xa0(2) ({tex}\\because{/tex}\xa0R and S are mid-points according to assumption)from (1)\xa0and (2) , we get{tex}\\Rightarrow{/tex}\xa0PR = PSBut this is possible only if R and S coincide. { which may not be possible if R and S are two different points }Therefore,Our contradiction is incorrect.i.e. there is only one mid-point of every line\xa0segment.Hence, proved

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