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Question
If B and C are two points between A and D such that AC = BD, then _______.
If B and C are two points between A and D such that AC = BD, then _______.
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Solution
The correct option is A AB = CD
AC = BD (Given)
AC = AB + BC (Point B lies between A and C)
BD = BC + CD (Point C lies between B and D)
Substituting (2) and (3) in (1),
you get AB + BC = BC + CD
So, AB = CD (Subtracting equals from equals)
AC = BD (Given)
AC = AB + BC (Point B lies between A and C)
BD = BC + CD (Point C lies between B and D)
Substituting (2) and (3) in (1),
you get AB + BC = BC + CD
So, AB = CD (Subtracting equals from equals)
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