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

 It is currently 04 May 2015, 02:06

### 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 Q a square?

Author Message
TAGS:
Manager
Joined: 11 May 2007
Posts: 107
Followers: 1

Kudos [?]: 12 [0], given: 0

00:00

Difficulty:

15% (low)

Question Stats:

62% (01:24) correct 38% (00:26) wrong based on 163 sessions

(1) The sides of Q have the same length.
(2) The diagonals of Q have the same length
[Reveal] Spoiler: OA
CEO
Joined: 17 Nov 2007
Posts: 3578
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 407

Kudos [?]: 2142 [0], given: 359

Expert's post
С. only both can let us a square.
CEO
Joined: 17 Nov 2007
Posts: 3578
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 407

Kudos [?]: 2142 [0], given: 359

Expert's post
yogachgolf wrote:
why 'a' is insuff?

you can imagine four sticks with same length that are pinned by hinges. you can easily transform the square to a different rhombuses and even to a line.
CEO
Joined: 29 Mar 2007
Posts: 2591
Followers: 16

Kudos [?]: 234 [0], given: 0

Re: Square [#permalink]  28 Nov 2007, 15:24
yogachgolf wrote:
(1) The sides of Q have the same length.
(2) The diagonals of Q have the same length

C

Here il post u a drawing.
Attachments

DS Geometry.doc [232 KiB]

SVP
Joined: 06 Sep 2013
Posts: 2034
Concentration: Finance
GMAT 1: 710 Q48 V39
Followers: 24

Kudos [?]: 294 [0], given: 354

Re: [#permalink]  25 Oct 2013, 05:35
shubhampandey wrote:
yogachgolf wrote:
walker wrote:
С. only both can let us a square.

why 'a' is insuff?

Because it can be a parellogram or rhombus..

In a parallelogram, not all the sides have the same length from what I understand.
Or am I missing something?
Math Expert
Joined: 02 Sep 2009
Posts: 27169
Followers: 4226

Kudos [?]: 40974 [1] , given: 5585

Re: Re: [#permalink]  25 Oct 2013, 07:28
1
KUDOS
Expert's post
jlgdr wrote:
shubhampandey wrote:
yogachgolf wrote:

(1) The sides of Q have the same length.
(2) The diagonals of Q have the same length

In a parallelogram, not all the sides have the same length from what I understand.
Or am I missing something?

Parallelogram CAN have all 4 sides of equal length.

Parallelogram A quadrilateral with two pairs of parallel sides.

Properties and Tips
• Opposite sides of a parallelogram are equal in length.
• Opposite angles of a parallelogram are equal in measure.

• Opposite sides of a parallelogram will never intersect.
• The diagonals of a parallelogram bisect each other.
• Consecutive angles are supplementary, add to 180°.
The area, $$A$$, of a parallelogram is $$A = bh$$, where $$b$$ is the base of the parallelogram and $$h$$ is its height.
• The area of a parallelogram is twice the area of a triangle created by one of its diagonals.

A parallelogram is a quadrilateral with opposite sides parallel and congruent. It is the "parent" of some other quadrilaterals, which are obtained by adding restrictions of various kinds:
• A rectangle is a parallelogram but with all angles fixed at 90°
• A rhombus is a parallelogram but with all sides equal in length
• A square is a parallelogram but with all sides equal in length and all angles fixed at 90°

For other properties check polygons chapter of Math Book: math-polygons-87336.html
_________________
Manager
Joined: 10 Mar 2014
Posts: 122
Followers: 1

Kudos [?]: 32 [0], given: 7

Re: Re: [#permalink]  15 Apr 2014, 00:10
HI Bunnel,

As you have mentioned that Parallelogram can have four sides equal then definitely its diagonals are also equal and it will become square. why A is not right?
Math Expert
Joined: 02 Sep 2009
Posts: 27169
Followers: 4226

Kudos [?]: 40974 [0], given: 5585

Re: Re: [#permalink]  15 Apr 2014, 00:19
Expert's post
HI Bunnel,

As you have mentioned that Parallelogram can have four sides equal then definitely its diagonals are also equal and it will become square. why A is not right?

If a parallelogram has equal sides it is a rhombus but rhombus is not necessary to have equal diagonals, or in other words not all rhombuses are squares:

Hope it's clear.
_________________
Senior Manager
Joined: 17 Sep 2013
Posts: 370
Location: United States
Concentration: Marketing, Strategy
GMAT 1: 690 Q48 V37
GMAT 2: 730 Q51 V38
GPA: 3.24
WE: Analyst (Consulting)
Followers: 8

Kudos [?]: 102 [0], given: 133

A is insufficient cause rhombus is a quadrilateral with four sides & diagonals of dfferent lengths
B is insufficient cause a uniform Trapezoid has both the diagonals equal..

C is sufficient as trapezoid and rhombus are both eliminated.Hence a square
_________________

Appreciate the efforts...KUDOS for all
Don't let an extra chromosome get you down..

Senior Manager
Joined: 17 Sep 2013
Posts: 370
Location: United States
Concentration: Marketing, Strategy
GMAT 1: 690 Q48 V37
GMAT 2: 730 Q51 V38
GPA: 3.24
WE: Analyst (Consulting)
Followers: 8

Kudos [?]: 102 [0], given: 133

Re: Square [#permalink]  05 Jun 2014, 02:45
GMATBLACKBELT wrote:
yogachgolf wrote:
(1) The sides of Q have the same length.
(2) The diagonals of Q have the same length

C

Here il post u a drawing.

This is an incorrect explanation cause a hexagon is not a quadrilateral and instead a uniform trapezium or a rectangle is a better alternative
_________________

Appreciate the efforts...KUDOS for all
Don't let an extra chromosome get you down..

Last edited by JusTLucK04 on 05 Jun 2014, 04:20, edited 1 time in total.
Manager
Joined: 20 Dec 2013
Posts: 125
Followers: 2

Kudos [?]: 56 [0], given: 1

yogachgolf wrote:

(1) The sides of Q have the same length.
(2) The diagonals of Q have the same length

Statement I is insufficient:

Rhombus have same lengths and so does a square.

Statement II is insufficient:

Sides may or may not be same.

Combining is sufficient:

If sides are same and diagonals are same which means all the sides must intersect at ninety degrees hence answer is c.
_________________

Perfect Scores

If you think our post was valuable then please encourage us with Kudos

http://Perfect-Scores.com

Similar topics Replies Last post
Similar
Topics:
1 Is the quadrilateral a square? 5 11 Feb 2012, 13:08
Is quadrilateral Q a square? (1) The sides of Q have the 1 05 Aug 2010, 05:09
Is quadrilateral Q a square? (1) The sides of Q have the 4 05 Aug 2008, 18:41
Is Quadrilateral Q a square? (1). The sides of Q have the 3 06 Jun 2008, 05:17
Is quadrilateral Q a square? (1) The sides of Q have the 12 11 Jan 2006, 12:33
Display posts from previous: Sort by