Question

Prove that every line segment has one and only one mid point?

Answer 1

HEY!!

A line segment is always of a constant length as it has two end points. so, it should have one and only mid point i.e., half of its length.

For example : let us take a line segment of length 6 cm. Then its mid point is at its half i.e., 6/2=3. Therefore its mid point is at 3cm.

Answer 2

hy
here is your answer.
=================

➡Let us consider a line segment AB.

➡Assume tht it has two midpoints C and D.


➡so,   

➡AC=BC and AD=BD.

➡Since C is the midpoint A,C and B are collinear.

➡AC+BC=AB   -(1) eq

➡AD+BD=AB   -(2)eq

➡from (1) and (2) we get

➡AC+BC=AD+BD

➡2AC=2AD

➡ie AC=AD

➡This means C and D coincides.

➡Therefore every line segments have one and only one midpoint.
==========================