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If B is the mid point of AC and C is the...

If B is the mid point of `AC and C` is the mid point of `BD, where A,B,C,D` lie on a straight line, say why `AB=CD`?

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To prove that \( AB = CD \) given that \( B \) is the midpoint of \( AC \) and \( C \) is the midpoint of \( BD \), we can follow these steps: ### Step 1: Understand the Midpoint Concept Since \( B \) is the midpoint of \( AC \), it means that the distance from \( A \) to \( B \) is equal to the distance from \( B \) to \( C \). Mathematically, this can be expressed as: \[ AB = BC \]
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