December 11, 2018 December 11, 2018 09:00 PM EST 10:00 PM EST Strategies and techniques for approaching featured GMAT topics. December 11 at 9 PM EST. December 13, 2018 December 13, 2018 08:00 AM PST 09:00 AM PST What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.
Author 
Message 
TAGS:

Hide Tags

CEO
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2711
Location: India
GMAT: INSIGHT
WE: Education (Education)

Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o
[#permalink]
Show Tags
07 May 2017, 20:21
Question Stats:
39% (00:50) correct 61% (00:41) wrong based on 200 sessions
HideShow timer Statistics
Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each other at 90 degrees 2) Diagonals of ABCD are equal in dimension Source: http://www.GMATInsight.com
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
Prosper!!! GMATinsight Bhoopendra Singh and Dr.Sushma Jha email: info@GMATinsight.com I Call us : +919999687183 / 9891333772 Online OneonOne Skype based classes and Classroom Coaching in South and West Delhi http://www.GMATinsight.com/testimonials.html
ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION



Math Expert
Joined: 02 Sep 2009
Posts: 51100

Re: Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o
[#permalink]
Show Tags
07 May 2017, 20:31



Math Expert
Joined: 02 Aug 2009
Posts: 7101

Re: Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o
[#permalink]
Show Tags
07 May 2017, 20:38
GMATinsight wrote: Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each other at 90 degrees 2) Diagonals of ABCD are equal in dimension Source: http://www.GMATInsight.comMain statement tells us that ABCD is a Quadrilateral.. Let's see the statements.. 1) Diagonals of ABCD Bisect each other at 90 degrees this tells us that the diagonals cut each other at middle of each other at 90° The diagonals can be of different sizes.. So it is surely a RHOMBUS but cannot say if it is rectangle/squareInsufficient 2) Diagonals of ABCD are equal in dimension Diagonals are equal cannot alone suffice if it's a rectangle.. Combined.. It is a rhombus from statement I and diagonals are EQUAL from statement II.. It is a square and each square is also a rectangle.. Sufficient C
_________________
1) Absolute modulus : http://gmatclub.com/forum/absolutemodulusabetterunderstanding210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effectsofarithmeticoperationsonfractions269413.html
GMAT online Tutor



BSchool Forum Moderator
Joined: 28 Mar 2017
Posts: 1224
Location: India
GPA: 4

Re: Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o
[#permalink]
Show Tags
08 May 2017, 04:17
chetan2u wrote: GMATinsight wrote: Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each other at 90 degrees 2) Diagonals of ABCD are equal in dimension Source: http://www.GMATInsight.comMain statement tells us that ABCD is a Quadrilateral.. Let's see the statements.. 1) Diagonals of ABCD Bisect each other at 90 degrees this tells us that the diagonals cut each other at middle of each other at 90° The diagonals can be of different sizes.. So it is surely a RHOMBUS but cannot say if it is rectangle/squareInsufficient 2) Diagonals of ABCD are equal in dimension Diagonals are equal cannot alone suffice if it's a rectangle.. Combined.. It is a rhombus from statement I and diagonals are EQUAL from statement II.. It is a square and each square is also a rectangle.. Sufficient C Hello chetan2u / Bunuel, How do we distinguish when to treat a square as A SQUARE and not a rectangle. It's true all squares are rectangles. I did reach at the conclusion that from both A and B the quadrilateral is a square. But marked "E". Regards
_________________
Kudos if my post helps!
Long And A Fruitful Journey  V21 to V41; If I can, So Can You!! Preparing for RC my way RC Summary Activity  New Project to imporve RC Skills Bloomberg's US Bschool Ranking
My study resources: 1. Useful Formulae, Concepts and TricksQuant  2. eGMAT's ALL SC Compilation  3. LSAT RC compilation  4. Actual LSAT CR collection by Broal  5. QOTD RC (Carcass)  6. Challange OG RC  7. GMAT Prep Challenge RC



Director
Joined: 21 Mar 2016
Posts: 521

Re: Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o
[#permalink]
Show Tags
08 May 2017, 07:02
hi chetan2u ... stat2 states diagnols are equal...in a quadrialteral, only square and rectangle have equal diagnols,,, i cant think of any other figure where diagnols ar equal please help



Math Expert
Joined: 02 Aug 2009
Posts: 7101

Re: Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o
[#permalink]
Show Tags
08 May 2017, 07:15
mohshu wrote: hi chetan2u ... stat2 states diagnols are equal...in a quadrialteral, only square and rectangle have equal diagnols,,, i cant think of any other figure where diagnols ar equal please help Hi, Surely if diagonals are EQUAL and BISECT each other, it would be rectangle or square.. But here it is just diagonals are EQUAL. Say both are 5 m but they bisect at 1 m from top, it will not be rectangle or square.. Once you draw, you will see various Quadrilateral can be made .
_________________
1) Absolute modulus : http://gmatclub.com/forum/absolutemodulusabetterunderstanding210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effectsofarithmeticoperationsonfractions269413.html
GMAT online Tutor



Current Student
Joined: 12 Aug 2015
Posts: 2629

Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o
[#permalink]
Show Tags
08 May 2017, 07:19
mohshu wrote: hi chetan2u ... stat2 states diagnols are equal...in a quadrialteral, only square and rectangle have equal diagnols,,, i cant think of any other figure where diagnols ar equal please help Here is an example >
Check out this trapezoid with equal diagonalsIt clearly isn't a rectangle
_________________
MBA Financing: INDIAN PUBLIC BANKS vs PRODIGY FINANCE! Getting into HOLLYWOOD with an MBA! The MOST AFFORDABLE MBA programs!STONECOLD's BRUTAL Mock Tests for GMATQuant(700+)AVERAGE GRE Scores At The Top Business Schools!



Director
Joined: 21 Mar 2016
Posts: 521

Re: Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o
[#permalink]
Show Tags
08 May 2017, 07:28
chetan2u wrote: mohshu wrote: hi chetan2u ... stat2 states diagnols are equal...in a quadrialteral, only square and rectangle have equal diagnols,,, i cant think of any other figure where diagnols ar equal please help Hi, Surely if diagonals are EQUAL and BISECT each other, it would be rectangle or square.. But here it is just diagonals are EQUAL. Say both are 5 m but they bisect at 1 m from top, it will not be rectangle or square.. Once you draw, you will see various Quadrilateral can be made . ok..makes sense now,,,,thanks i guess that shud be intersect??? bisect means dividing each other into two equal parts... correct me if im rong,, thanks



Manager
Joined: 07 Jun 2018
Posts: 110

Re: Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o
[#permalink]
Show Tags
04 Jul 2018, 08:48
chetan2u wrote: GMATinsight wrote: Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each other at 90 degrees 2) Diagonals of ABCD are equal in dimension Source: http://www.GMATInsight.comMain statement tells us that ABCD is a Quadrilateral.. Let's see the statements.. 1) Diagonals of ABCD Bisect each other at 90 degrees this tells us that the diagonals cut each other at middle of each other at 90° The diagonals can be of different sizes.. So it is surely a RHOMBUS but cannot say if it is rectangle/squareInsufficient 2) Diagonals of ABCD are equal in dimension Diagonals are equal cannot alone suffice if it's a rectangle.. Combined.. It is a rhombus from statement I and diagonals are EQUAL from statement II.. It is a square and each square is also a rectangle.. Sufficient C Statement1 is not surely a rhombus. The diagonals of a kite are also perpendicular to each other. Posted from my mobile device



Intern
Joined: 19 Jul 2017
Posts: 34

Re: Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o
[#permalink]
Show Tags
08 Jul 2018, 13:50
MrJglass wrote: chetan2u wrote: GMATinsight wrote: Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each other at 90 degrees 2) Diagonals of ABCD are equal in dimension Source: http://www.GMATInsight.comMain statement tells us that ABCD is a Quadrilateral.. Let's see the statements.. 1) Diagonals of ABCD Bisect each other at 90 degrees this tells us that the diagonals cut each other at middle of each other at 90° The diagonals can be of different sizes..Statement1 is not surely a rhombus. The diagonals of a kite are also perpendicular to each other.
[b]Posted from my mobile deviceSo it is surely a RHOMBUS but cannot say if it is rectangle/square[/b] Insufficient 2) Diagonals of ABCD are equal in dimension Diagonals are equal cannot alone suffice if it's a rectangle.. Combined.. It is a rhombus from statement I and diagonals are EQUAL from statement II.. It is a square and each square is also a rectangle.. Sufficient C . I think there is a difference between "bisect" and "intersect" In a quadrilateral, if diagonals intersect each other at 90 degrees, then it could be a rhombus or a square or a kite. In first two cases we can call it a rhombus only (because square is a special kind of rhombus) but if its a kite, it cannot be called a rhombus. . (Please note that the statement does NOT say 'intersect each other at 90' but it says bisect each other at 90'. Diagonals of a square, a rectangle and an isosceles trapezoid are equal in dimension. In the first case (if its a square) we can call it a rhombus (square is a special kind of rhombus) but in other two cases we cannot.
_________________
You never FAIL until you stop TRYING [wrapimg=][/wrapimg]



Senior Manager
Joined: 29 Dec 2017
Posts: 385
Location: United States
Concentration: Marketing, Technology
GMAT 1: 630 Q44 V33 GMAT 2: 690 Q47 V37 GMAT 3: 710 Q50 V37
GPA: 3.25
WE: Marketing (Telecommunications)

Re: Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o
[#permalink]
Show Tags
22 Aug 2018, 13:24
chetan2u wrote: GMATinsight wrote: Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each other at 90 degrees 2) Diagonals of ABCD are equal in dimension Source: http://www.GMATInsight.comMain statement tells us that ABCD is a Quadrilateral.. Let's see the statements.. 1) Diagonals of ABCD Bisect each other at 90 degrees this tells us that the diagonals cut each other at middle of each other at 90° The diagonals can be of different sizes.. So it is surely a RHOMBUS but cannot say if it is rectangle/squareInsufficient 2) Diagonals of ABCD are equal in dimension Diagonals are equal cannot alone suffice if it's a rectangle.. Combined.. It is a rhombus from statement I and diagonals are EQUAL from statement II.. It is a square and each square is also a rectangle.. Sufficient C Hi chetan2uPlease correct me if I'm wrong. I'm attaching a file with a figure in which diagonals are equal and cross at 90 degree yet the figure is a kite, not a parallelogram.
Attachments
1.png [ 4.88 KiB  Viewed 889 times ]



Math Expert
Joined: 02 Aug 2009
Posts: 7101

Re: Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o
[#permalink]
Show Tags
22 Aug 2018, 18:07
Hero8888 wrote: chetan2u wrote: GMATinsight wrote: Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each other at 90 degrees 2) Diagonals of ABCD are equal in dimension Source: http://www.GMATInsight.comMain statement tells us that ABCD is a Quadrilateral.. Let's see the statements.. 1) Diagonals of ABCD Bisect each other at 90 degrees this tells us that the diagonals cut each other at middle of each other at 90° The diagonals can be of different sizes.. So it is surely a RHOMBUS but cannot say if it is rectangle/squareInsufficient 2) Diagonals of ABCD are equal in dimension Diagonals are equal cannot alone suffice if it's a rectangle.. Combined.. It is a rhombus from statement I and diagonals are EQUAL from statement II.. It is a square and each square is also a rectangle.. Sufficient C Hi chetan2uPlease correct me if I'm wrong. I'm attaching a file with a figure in which diagonals are equal and cross at 90 degree yet the figure is a kite, not a parallelogram. Yes, it is not a parallelogram. The reason is that the diagonals have to be equal and bisect each other and if you do the same here, it will become a rhombus
_________________
1) Absolute modulus : http://gmatclub.com/forum/absolutemodulusabetterunderstanding210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effectsofarithmeticoperationsonfractions269413.html
GMAT online Tutor



Senior Manager
Joined: 29 Dec 2017
Posts: 385
Location: United States
Concentration: Marketing, Technology
GMAT 1: 630 Q44 V33 GMAT 2: 690 Q47 V37 GMAT 3: 710 Q50 V37
GPA: 3.25
WE: Marketing (Telecommunications)

Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o
[#permalink]
Show Tags
Updated on: 23 Aug 2018, 06:04
chetan2u wrote: Sufficient C Hi chetan2uPlease correct me if I'm wrong. I'm attaching a file with a figure in which diagonals are equal and cross at 90 degree yet the figure is a kite, not a parallelogram.[/quote] Yes, it is not a parallelogram. The reason is that the diagonals have to be equal and bisect each other and if you do the same here, it will become a rhombus[/quote] Sorry, I meant Rectangle. So the OA has to be E?
Originally posted by Hero8888 on 23 Aug 2018, 05:35.
Last edited by Hero8888 on 23 Aug 2018, 06:04, edited 1 time in total.



Math Expert
Joined: 02 Aug 2009
Posts: 7101

Re: Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o
[#permalink]
Show Tags
23 Aug 2018, 06:00
Hero8888 wrote: chetan2u wrote: Sufficient C Hi chetan2uPlease correct me if I'm wrong. I'm attaching a file with a figure in which diagonals are equal and cross at 90 degree yet the figure is a kite, not a parallelogram. Yes, it is not a parallelogram. The reason is that the diagonals have to be equal and bisect each other and if you do the same here, it will become a rhombus[/quote] Sorry, I meant Rectangle. So the OA has to be E.[/quote] NO, the OA will be C. you have not read the complete info of statement I. 1) Diagonals of ABCD Bisect each other at 90 degrees so statement I tells us that the diagonals bisect each other. Bisect means they intersect at the centre. so combined it has to be a rectangle  equal diagonals and bisecting each other at 90 would be a square and square is also a rectangle
_________________
1) Absolute modulus : http://gmatclub.com/forum/absolutemodulusabetterunderstanding210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effectsofarithmeticoperationsonfractions269413.html
GMAT online Tutor



Intern
Joined: 13 Aug 2016
Posts: 1

Re: Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o
[#permalink]
Show Tags
24 Aug 2018, 06:18
Why statement 1 alone is not sufficient?? Diagonals of a rectangle do not bisect at 90 deg. So statement 1 should be sufficient to decide that its not a rectangle but any other quadrilateral (may be a square) Please help.
Posted from my mobile device



Math Expert
Joined: 02 Aug 2009
Posts: 7101

Re: Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o
[#permalink]
Show Tags
24 Aug 2018, 06:35
ranjitmkunte wrote: Why statement 1 alone is not sufficient?? Diagonals of a rectangle do not bisect at 90 deg. So statement 1 should be sufficient to decide that its not a rectangle but any other quadrilateral (may be a square) Please help.
Posted from my mobile device A square is always a rectangle, although it may not be necessary that a rectangle is a square.
_________________
1) Absolute modulus : http://gmatclub.com/forum/absolutemodulusabetterunderstanding210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effectsofarithmeticoperationsonfractions269413.html
GMAT online Tutor




Re: Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o &nbs
[#permalink]
24 Aug 2018, 06:35






