Question

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

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Answer 1

Answer:

let C and D be 2 mid points of line segment AB. ...

And C as a mid point.

suppose D is the another mid point of AB,AD=DB C is the midpoint of AB,Account=CB

therefore AC-AD=CB-DB DC=-DC DC+DC=0 2DC=0 DC=0÷2 DC=0;

therefore c and d are coincide

Thus, every line segment has only one midpoint.

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