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Last updated at May 29, 2018 by Teachoo

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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

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.