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Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o
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07 May 2017, 21:21
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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
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Re: Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o
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07 May 2017, 21:31



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Re: Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o
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07 May 2017, 21:38
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
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Re: Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o
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08 May 2017, 05:17
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
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Re: Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o
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08 May 2017, 08:02
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



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Re: Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o
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08 May 2017, 08:15
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 .
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Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o
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08 May 2017, 08:19
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
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Re: Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o
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08 May 2017, 08:28
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



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Re: Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o
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04 Jul 2018, 09:48
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



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Re: Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o
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08 Jul 2018, 14:50
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.
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Re: Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o
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22 Aug 2018, 14:24
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.
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1.png [ 4.88 KiB  Viewed 1264 times ]



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Re: Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o
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22 Aug 2018, 19:07
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
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Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o
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Updated on: 23 Aug 2018, 07:04
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, 06:35.
Last edited by Hero8888 on 23 Aug 2018, 07:04, edited 1 time in total.



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Re: Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o
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23 Aug 2018, 07:00
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
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Re: Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o
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24 Aug 2018, 07:18
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.
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Re: Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o
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24 Aug 2018, 07:35
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.
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Re: Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o
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