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Is quadrilateral ABCD a parallelogram?

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Is quadrilateral ABCD a parallelogram? [#permalink]

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Is quadrilateral ABCD a parallelogram?

Statement 1: AC=BD
Statement 2: AC and BD bisect each other.
[Reveal] Spoiler: OA

Last edited by DHAR on 01 Aug 2017, 08:59, edited 1 time in total.
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Re: Is quadrilateral ABCD a parallelogram? [#permalink]

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New post 31 Jul 2017, 03:10
DH99 wrote:
Is quadrilateral ABCD a parallelogram?

Statement 1: AC=BD
Statement 2: AC and BD bisect each other.


I think the answer should be B.
Diagonal bisecting each other proves parallelogram by using SAS(Side, Angle, Side) congruency.
Experts please help chetan2u
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Re: Is quadrilateral ABCD a parallelogram? [#permalink]

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New post 31 Jul 2017, 06:41
deepudiscover wrote:
DH99 wrote:
Is quadrilateral ABCD a parallelogram?

Statement 1: AC=BD
Statement 2: AC and BD bisect each other.


I think the answer should be B.
Diagonal bisecting each other proves parallelogram by using SAS(Side, Angle, Side) congruency.
Experts please help chetan2u



Hi..

I agree with you. diagonals bisecting each other is a SUFFICIENT condition for a Quadrilateral to be a PARALLELOGRAM..
DH99, pl relook in the Q. either there is a typing error( something else instead of Quadrilateral) or OA is marked incorrectly.
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Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
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Re: Is quadrilateral ABCD a parallelogram? [#permalink]

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New post 31 Jul 2017, 07:04
It can be rhombus or square as well
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Re: Is quadrilateral ABCD a parallelogram? [#permalink]

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New post 31 Jul 2017, 07:15
vivek2k70 wrote:
It can be rhombus or square as well



Hi...
parallelogram is the BASE form of all these..
rhombus, square or rectangle .. all of them are TYPES of PARALLELOGRAM..
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Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html


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Re: Is quadrilateral ABCD a parallelogram? [#permalink]

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New post 31 Jul 2017, 07:17
chetan2u wrote:
deepudiscover wrote:
DH99 wrote:
Is quadrilateral ABCD a parallelogram?

Statement 1: AC=BD
Statement 2: AC and BD bisect each other.


I think the answer should be B.
Diagonal bisecting each other proves parallelogram by using SAS(Side, Angle, Side) congruency.
Experts please help chetan2u



Hi..

I agree with you. diagonals bisecting each other is a SUFFICIENT condition for a Quadrilateral to be a PARALLELOGRAM..
DH99, pl relook in the Q. either there is a typing error( something else instead of Quadrilateral) or OA is marked incorrectly.



Hi,

The OA is marked as E.This is how I solved it I am not sure if it is correct.Please evaluate:
Statement1>> Can be a Isoscelles Trapezium,Square/Rectangle.(Isoscelles Trapezium is a not a ||gm but a quadrilateral)
Statement1>> Can be a Isoscelles Trapezium, Square/Rectangle.

1+2>> Isoscelles Trapezium or Rectangle . E
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Re: Is quadrilateral ABCD a parallelogram? [#permalink]

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New post 31 Jul 2017, 07:38
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DH99 wrote:
chetan2u wrote:
deepudiscover wrote:

I think the answer should be B.
Diagonal bisecting each other proves parallelogram by using SAS(Side, Angle, Side) congruency.
Experts please help chetan2u



Hi..

I agree with you. diagonals bisecting each other is a SUFFICIENT condition for a Quadrilateral to be a PARALLELOGRAM..
DH99, pl relook in the Q. either there is a typing error( something else instead of Quadrilateral) or OA is marked incorrectly.



Hi,

The OA is marked as E.This is how I solved it I am not sure if it is correct.Please evaluate:
Statement1>> Can be a Isoscelles Trapezium,Square/Rectangle.(Isoscelles Trapezium is a not a ||gm but a quadrilateral)
Statement1>> Can be a Isoscelles Trapezium, Square/Rectangle.

1+2>> Isoscelles Trapezium or Rectangle . E


OA is wrong then. It has to be B
Isosceles trapezium - its diagonals do not bisect each other. they are equal.
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Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html


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Re: Is quadrilateral ABCD a parallelogram? [#permalink]

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New post 01 Aug 2017, 09:08
Attachment:
quadrilateral.jpg
quadrilateral.jpg [ 41.35 KiB | Viewed 521 times ]


It can also be in this shape.. here AC = BD and AC and BD bisects.. this is not a parallelogram.

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Is quadrilateral ABCD a parallelogram? [#permalink]

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New post 01 Aug 2017, 09:22
imyuva wrote:
Attachment:
quadrilateral.jpg


It can also be in this shape.. here AC = BD and AC and BD bisects.. this is not a parallelogram.

Sent from my KIW-L22 using GMAT Club Forum mobile app


These diagonals will not bisect each other in this case. You can go ahead and draw an isosceles trapezium to scale and then measure to see if the diagonals bisect each other.. You will realize that they will not! Only in a parallelogram can this happen.
Is quadrilateral ABCD a parallelogram?   [#permalink] 01 Aug 2017, 09:22
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Is quadrilateral ABCD a parallelogram?

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