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

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VP
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Is quadrilateral ABCD a rhombus? 1. AC is perpendicular to [#permalink] New post 01 Nov 2008, 06:26
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A
B
C
D
E

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Is quadrilateral ABCD a rhombus?

1. AC is perpendicular to BD
2. AB + CD = BC + AD
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Re: DS : A Rhombus [#permalink] New post 01 Nov 2008, 06:47
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 ?
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Re: DS : A Rhombus [#permalink] New post 01 Nov 2008, 06:50
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 :twisted:
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Re: DS : A Rhombus [#permalink] New post 01 Nov 2008, 06:58
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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Re: DS : A Rhombus [#permalink] New post 01 Nov 2008, 07:59
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...
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Re: DS : A Rhombus [#permalink] New post 01 Nov 2008, 08:56
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)
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Re: DS : A Rhombus   [#permalink] 01 Nov 2008, 08:56
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Is quadrilateral ABCD a rhombus? 1. AC is perpendicular to

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