Ex 5.1, 5
In the above question, point C is called a mid-point of line segment AB, prove that every line segment has one and only one mid-point.
In previous question, C was mid point of AB.
Now we consider there are two mid points of AB, C & D.
So, AC = BC
So, AD = DB
Subtracting (1) from (2) , we get
AC – AD = CB – DB
– DC = DC
2DC = 0
DC = 0
So, distance between C & D is 0 , i.e. C and D coincides.
Thus, every line segment has one and only one mid- point

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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