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Ex 5.1, 5 - In the above question, point C is mid-point - Axioms

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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

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.