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# Is quadrilateral ABCD a rhombus? 1. AC is perpendicular to

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VP
Joined: 30 Jun 2008
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Is quadrilateral ABCD a rhombus? 1. AC is perpendicular to [#permalink]

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01 Nov 2008, 07:26
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Is quadrilateral ABCD a rhombus?

1. AC is perpendicular to BD
2. AB + CD = BC + AD
_________________

"You have to find it. No one else can find it for you." - Bjorn Borg

Kudos [?]: 704 [0], given: 1

Senior Manager
Joined: 21 Apr 2008
Posts: 269

Kudos [?]: 165 [0], given: 0

Location: Motortown
Re: DS : A Rhombus [#permalink]

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01 Nov 2008, 07:47
Properties of rhombus: All opposite sides are parallel, opposite angles are equal, and diagnols bisect each other at 90 degress.

Stmt1: Suff

Stmt2: Could be a rectangle

Answer: A

PS: Some of you thinking, why can't it be a square ? well, a square can be a rhombus right ?

Kudos [?]: 165 [0], given: 0

VP
Joined: 30 Jun 2008
Posts: 1033

Kudos [?]: 704 [0], given: 1

Re: DS : A Rhombus [#permalink]

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01 Nov 2008, 07:50
LiveStronger wrote:
Properties of rhombus: All opposite sides are parallel, opposite angles are equal, and diagnols bisect each other at 90 degress.

Stmt1: Suff

Stmt2: Could be a rectangle

Answer: A

PS: Some of you thinking, why can't it be a square ? well, a square can be a rhombus right ?

try again
_________________

"You have to find it. No one else can find it for you." - Bjorn Borg

Kudos [?]: 704 [0], given: 1

Senior Manager
Joined: 21 Apr 2008
Posts: 269

Kudos [?]: 165 [0], given: 0

Location: Motortown
Re: DS : A Rhombus [#permalink]

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01 Nov 2008, 07:58
oh shoot

it is AB+CD = AD+BC
awww.. : definitely not a rectangle

It can't be C for sure, but I am not sure how I can use stmt2 to prove it as D ???
Oh! you have put me in a confused state Amit

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Current Student
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Location: New York City
Schools: Wharton'11 HBS'12
Re: DS : A Rhombus [#permalink]

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01 Nov 2008, 08:59
i think its E..

Rhoumbus has all sides equal and the angles might be different..

from either statement i cant tell if AB=BC=CD=AD...

Kudos [?]: 319 [0], given: 2

VP
Joined: 30 Jun 2008
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Kudos [?]: 704 [0], given: 1

Re: DS : A Rhombus [#permalink]

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01 Nov 2008, 09:56
E it is

Statement 1 says that the 2 diagonals are perpendicular .... The quadrilateral could be a rhombus or a kite (one diagonal longer than other, but perpendicular to each other)
_________________

"You have to find it. No one else can find it for you." - Bjorn Borg

Kudos [?]: 704 [0], given: 1

Re: DS : A Rhombus   [#permalink] 01 Nov 2008, 09:56
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# Is quadrilateral ABCD a rhombus? 1. AC is perpendicular to

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