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

Question

Shiksha Nation · Accepted Answer

∵ B is the mid-point of AC̅
  ∴ AB = BC ...(1)
  ∵ C is the mid-point of BD̅
    ∴ BC = CD ...(2)
    In view of (1) and (2), we get
      AB = CD.

Verified Answer