Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 23 May 2015, 05:12

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Is quadrilateral ABCD a rhombus? (1) Line segments AC and BD

Author Message
TAGS:
Senior Manager
Joined: 17 May 2010
Posts: 301
GMAT 1: 710 Q47 V40
Followers: 4

Kudos [?]: 33 [0], given: 7

Is quadrilateral ABCD a rhombus? (1) Line segments AC and BD [#permalink]  16 Jun 2011, 14:24
00:00

Difficulty:

85% (hard)

Question Stats:

34% (01:23) correct 66% (00:28) wrong based on 125 sessions

(1) Line segments AC and BD are perpendicular bisectors of each other.

(2) AB = BC = CD = AD

Solve!
[Reveal] Spoiler: OA

_________________

If you like my post, consider giving me KUDOS!

Senior Manager
Joined: 17 May 2010
Posts: 301
GMAT 1: 710 Q47 V40
Followers: 4

Kudos [?]: 33 [0], given: 7

I think the answer is A as (1) is enough. A square is a also a quadrilateral and has equal sides. Hence (2) is not enough. I am astounded by OA.
_________________

If you like my post, consider giving me KUDOS!

Current Student
Joined: 08 Jan 2009
Posts: 328
GMAT 1: 770 Q50 V46
Followers: 23

Kudos [?]: 105 [0], given: 7

gijoedude, a square is a rhombus, so 2 is sufficient as well.
VP
Status: There is always something new !!
Affiliations: PMI,QAI Global,eXampleCG
Joined: 08 May 2009
Posts: 1359
Followers: 13

Kudos [?]: 163 [0], given: 10

a considering a kite,the diagonals will be perpendicular but not bisecting. Hence sufficient.

b a square is also a rhombus.

D it is.
_________________

Visit -- http://www.sustainable-sphere.com/
Promote Green Business,Sustainable Living and Green Earth !!

Senior Manager
Joined: 17 May 2010
Posts: 301
GMAT 1: 710 Q47 V40
Followers: 4

Kudos [?]: 33 [0], given: 7

Got it. Thanks all!
_________________

If you like my post, consider giving me KUDOS!

Director
Joined: 01 Feb 2011
Posts: 762
Followers: 14

Kudos [?]: 71 [0], given: 42

1. Sufficient

diagnols are perpendicular bisectors. can only happen in a square or rhombus. Square is a kind of rhombus.

2. Sufficient

As we know its a square or rhombus. Square is a kind of rhombus.

Senior Manager
Joined: 13 Aug 2012
Posts: 464
Concentration: Marketing, Finance
GMAT 1: Q V0
GPA: 3.23
Followers: 17

Kudos [?]: 264 [0], given: 11

Re: Is quadrilateral ABCD a rhombus? (1) Line segments AC and BD [#permalink]  29 Jan 2013, 06:59
gijoedude wrote:

(1) Line segments AC and BD are perpendicular bisectors of each other.

(2) AB = BC = CD = AD

A rhombus is a quadrilateral with all its sides equal to each other.

1.
Imagine that the point where the bisectors meet is called X.
Then, BX = DX and AX = CX.

Using the Pythagorean Theorem you could imagine getting the hypotenuse of sides BX and CX.
Since AX = CX, then the hypotenuse of BX and AX is also as long as the previous.
As you could imagine, all the hypotenuse formed are equal, thus forming equal 4 sides. Hence, a rhombus.

SUFFICIENT.

2.

All sides are equal.

SUFFICIENT.

_________________

Impossible is nothing to God.

Re: Is quadrilateral ABCD a rhombus? (1) Line segments AC and BD   [#permalink] 29 Jan 2013, 06:59
Similar topics Replies Last post
Similar
Topics:
1 Is quadrilateral ABCD a rhombus? (1) Line segments AC and BD 13 03 Aug 2008, 17:21
Is quadrilateral ABCD a rhombus? (1) Line segments AC and BD 5 29 May 2008, 05:11
1 Is quadrilateral ABCD a rhombus? (1) Line segments AC and BD 14 11 Feb 2008, 18:18
Is quadrilateral ABCD a rhombus? (1) Line segments AC and BD 5 15 Jul 2006, 10:34
Is quadrilateral ABCD a rhombus? (1) Line segments AC and BD 13 16 Apr 2006, 13:01
Display posts from previous: Sort by