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# Is there a diagonal in quadrilateral ABCD that is also a bisector in

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Manager
Joined: 18 Sep 2009
Posts: 244
Is there a diagonal in quadrilateral ABCD that is also a bisector in  [#permalink]

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26 Dec 2010, 17:37
1
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Difficulty:

55% (hard)

Question Stats:

27% (00:45) correct 73% (00:55) wrong based on 58 sessions

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Is there a diagonal in quadrilateral ABCD that is also a bisector in ABCD?

(1) ABCD is a parallelogram.
(2) The diagonals of ABCD intersect at right angles.
Manager
Joined: 31 May 2010
Posts: 62
Re: Is there a diagonal in quadrilateral ABCD that is also a bisector in  [#permalink]

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27 Dec 2010, 00:26
Hi,
Both stmt is required - C

1)Stmt 1 states that its paraellelogram. So, diagonal may be bisector only if its a Rhombus.
2)stmt 2 states that diagonal intesect at rt angle. It can be Rhombus or a Kite shaped.

Joining both will give you the answer
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Director
Joined: 27 May 2012
Posts: 902
Re: Is there a diagonal in quadrilateral ABCD that is also a bisector in  [#permalink]

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27 Oct 2018, 10:15
1
TomB wrote:
Is there a diagonal in quadrilateral ABCD that is also a bisector in ABCD?

(1) ABCD is a parallelogram.
(2) The diagonals of ABCD intersect at right angles.

Dear Moderator,
Found this DS question in the PS section of geometry, Hope you will do the needful. Thank you.
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- Stne
Senior SC Moderator
Joined: 22 May 2016
Posts: 3537
Re: Is there a diagonal in quadrilateral ABCD that is also a bisector in  [#permalink]

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28 Oct 2018, 13:43
stne wrote:
TomB wrote:
Is there a diagonal in quadrilateral ABCD that is also a bisector in ABCD?

(1) ABCD is a parallelogram.
(2) The diagonals of ABCD intersect at right angles.

Dear Moderator,
Found this DS question in the PS section of geometry, Hope you will do the needful. Thank you.

stne , topic moved. Thank you.
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Senior Manager
Joined: 09 Aug 2017
Posts: 483
Is there a diagonal in quadrilateral ABCD that is also a bisector in  [#permalink]

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28 Oct 2018, 19:25
I have one query here.
look, if ABCD is parallelogram then diagonal bisect the area into two halfs.
So why D is wrong choice here?
Is there a diagonal in quadrilateral ABCD that is also a bisector in   [#permalink] 28 Oct 2018, 19:25
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