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# Is ABCD parallelogram ? a) Opposite sides i.e. (AB, CD) and

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Is ABCD parallelogram ? a) Opposite sides i.e. (AB, CD) and [#permalink]  15 Aug 2009, 13:51
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Is ABCD parallelogram ?
a) Opposite sides i.e. (AB, CD) and (BC, AD) are equal.
b) Opposite sides i.e. (AB, CD) and (BC, AD) are parallel.
Director
Joined: 01 Apr 2008
Posts: 906
Schools: IIM Lucknow (IPMX) - Class of 2014
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Re: Is ABCD parallelogram [#permalink]  15 Aug 2009, 21:56
yezz wrote:
Is ABCD parallelogram ?
a) Opposite sides i.e. (AB, CD) and (BC, AD) are equal.
b) Opposite sides i.e. (AB, CD) and (BC, AD) are parallel.

D. (corrected, arghhh !!!) If opposite sides are parallel then it is for sure a parallelogram. We don't need to check for opposite angles or length of opposite sides specifically as this is implicit if opposite sides are parallel

Last edited by Economist on 15 Aug 2009, 22:53, edited 1 time in total.
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Schools: NYU, NUS, ISB, DUKE, ROSS, DARDEN
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Re: Is ABCD parallelogram [#permalink]  15 Aug 2009, 22:28
yezz wrote:
Is ABCD parallelogram ?
a) Opposite sides i.e. (AB, CD) and (BC, AD) are equal.
b) Opposite sides i.e. (AB, CD) and (BC, AD) are parallel.

St1:
If both the pairs of opposite sides are equal then both the pairs of opposite sides have to be parallel => ||m
=> SUFFICIENT

St2:
If both the pairs of opposite sides are parallel => ||m
=> SUFFICIENT

ANS: D
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Re: Is ABCD parallelogram   [#permalink] 15 Aug 2009, 22:28
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# Is ABCD parallelogram ? a) Opposite sides i.e. (AB, CD) and

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