Question

point C is called mid point of the line segment AB. prove that every line segment has one and only one mid point.​

Answer 1

Answer:

Let us consider, a line segment AB. This is a contradiction unless C and D coincide. Therefore our assumption that a line segment AB has two midpoints is incorrect. Thus every line segment has one and only one midpoint.

Answer 2

Answer:

Let us consider, a line segment AB. This is a contradiction unless C and D coincide. Therefore our assumption that a line segment AB has two midpoints is incorrect. Thus every line segment has one and only one midpoint.

Step-by-step explanation:

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