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In Question 4, point C is called a mid-point of line segment AB. Prove that every line segment has one and only one mid-point.

In Question 4, point C is called a mid-point of line segment AB. Prove that every line segment has one and only one mid-point.

Grade:12th pass

1 Answers

Pawan Prajapati
askIITians Faculty 6228 Points
3 months ago
Let D is mid-point of AB. :. AD = BD => AD + AD = AD + BD => 2AD = AB => AD = AB 2 From Ans. 4 and 5, we have AC = AD => Points C and D must coincide. Hence mid-point is unique.

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