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6.In figure, if AC = BD, then prove that AB = CD.
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Answer :

Given that,
AC = BD ....(i)
AC = AB + BC as point B lies between A and C ....ii)
BD = BC + CD as point C lies between B and D ....iii)
From equations (i), (ii) and (iii), we get,
AB + BC = BC + CD
Subtracting equals we get,
AB = CD.