This might be a repetition. Is quadrilateral ABCD a rhombus?

Oldest

Best Reply

Author

Message

TAGS:

Director

Joined: 01 Apr 2008

Posts: 921

Followers: 8

Kudos [?]: 123 [0], given: 18

This might be a repetition. Is quadrilateral ABCD a rhombus? [#permalink]

14 Oct 2009, 21:09

00:00

Question Stats:

0% (00:00) correct

0% (00:00) wrong

based on 0 sessions

This might be a repetition.

Is quadrilateral ABCD a rhombus?

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

(2) AB = BC = CD = AD

Senior Manager

Joined: 18 Aug 2009

Posts: 340

Followers: 5

Kudos [?]: 120 [0], given: 13

Re: rhombus? [#permalink]

14 Oct 2009, 21:15

IMO E.

State 1) It can be a Square.
State 2) It can be a Square again.

Together the statements are not sufficient to answer if this is a rhombus or a square.

Director

Joined: 01 Apr 2008

Posts: 921

Followers: 8

Kudos [?]: 123 [0], given: 18

Re: rhombus? [#permalink]

14 Oct 2009, 21:24

By definition, square is a special case of rhombus. So all squares can be called rhombi too

Senior Manager

Joined: 18 Aug 2009

Posts: 340

Followers: 5

Kudos [?]: 120 [0], given: 13

Re: rhombus? [#permalink]

14 Oct 2009, 21:29

So you mean that the answer is C? :shock:

Director

Joined: 01 Apr 2008

Posts: 921

Followers: 8

Kudos [?]: 123 [0], given: 18

Re: rhombus? [#permalink]

14 Oct 2009, 21:33

I am just throwing pointers, we need to discuss. I do not know what is the ans

Senior Manager

Joined: 18 Aug 2009

Posts: 340

Followers: 5

Kudos [?]: 120 [0], given: 13

Re: rhombus? [#permalink]

14 Oct 2009, 21:36

GMAT Club team member

Joined: 02 Sep 2009

Posts: 11506

Followers: 1791

Kudos [?]: 9526 [0], given: 826

Re: rhombus? [#permalink]

14 Oct 2009, 21:40

Answer D.

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

(2) AB = BC = CD = AD --> rhombus

Or am I missing something, seems pretty obvious...
_________________

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. NEW!!!

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set. NEW!!!

What are GMAT Club Tests?
25 extra-hard Quant Tests

Find out what's new at GMAT Club - latest features and updates

GMAT Club team member

Joined: 02 Sep 2009

Posts: 11506

Followers: 1791

Kudos [?]: 9526 [0], given: 826

Re: rhombus? [#permalink]

14 Oct 2009, 21:45

Thought about this again: D it is.

Well:
(1) True for square or for rhombus but every square is a rhombus, so sufficient
(2) Again true for square or for rhombus but every square is a rhombus, so sufficient

D
_________________

Intern

Joined: 11 Oct 2009

Posts: 28

Schools: HEC,Paris

Followers: 0

Kudos [?]: 6 [0], given: 0

Re: rhombus? [#permalink]

25 Oct 2009, 07:00

about the 2nd option. can't it be a parellogram too?
and a pllgram is not necessarily a rhombus.

so the answer shud be A.
(or am i missing the obvious here??)

Intern

Joined: 21 Jul 2006

Posts: 14

Followers: 0

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

Re: rhombus? [#permalink]

25 Oct 2009, 10:15

any rhombus has the following two properties:
Opposite angles of a rhombus have equal measure.
The two diagonals of a rhombus are perpendicular.

so any square is a rhombus hence D.

Re: rhombus? [#permalink] 25 Oct 2009, 10:15

		Similar topics	Author	Replies	Last post
Similar Topics:		Is quadrilateral ABCD a rhombus? (1) Line segments AC and BD	willget800	13	16 Apr 2006, 14:01
		Is quadrilateral ABCD a rhombus? (1) Line segments AC and BD	rkatl	5	15 Jul 2006, 11:34
		Is quadrilateral ABCD a rhombus? 1. AC is perpendicular to	amitdgr	5	01 Nov 2008, 07:26
	7	Quadrilateral ABCD is a rhombus and points C, D, and E are	crejoc	21	09 Aug 2009, 10:03
		ABCD is a quadrilateral. A rhombus is a quadrilateral whose	burp	7	29 Dec 2010, 08:08

This might be a repetition. Is quadrilateral ABCD a rhombus?

Main navigation

GMAT Resources

Partners

MBA Resources

GMAT ® is a registered trademark of the Graduate Management Admission Council ® (GMAC ®). GMAT Club's website has not been reviewed or endorsed by GMAC.

GMAT Courses

Admissions Consulting

This might be a repetition. Is quadrilateral ABCD a rhombus?

This might be a repetition. Is quadrilateral ABCD a rhombus?

Main navigation

GMAT Resources

Partners

MBA Resources