UPSKILL MATH PLUS

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If a point \(C\) lies between two points \(A\) and \(B\) such that \(AC = BC\), then prove that \(AC = \frac{1}{2} AB\). Here, point \(C\) is called a mid-point of line segment \(AB\). Prove that every line segment has one and only one mid-point.
 
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This is a self assessment task. Solve this question and assess the solution steps after the completion of test on your own.