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Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o

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Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o [#permalink]

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New post 07 May 2017, 21:21
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A
B
C
D
E

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  55% (hard)

Question Stats:

44% (00:28) correct 56% (00:29) wrong based on 91 sessions

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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

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Re: Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o [#permalink]

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New post 07 May 2017, 21:31
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.com


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Re: Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o [#permalink]

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New post 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.com


Main 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/square

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
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Re: Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o [#permalink]

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New post 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.com


Main 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/square

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


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".
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Re: Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o [#permalink]

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New post 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 [#permalink]

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New post 08 May 2017, 08:15
1
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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Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html


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Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o [#permalink]

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New post 08 May 2017, 08:19
1
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 diagonals


Image


It clearly isn't a rectangle
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Re: Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o [#permalink]

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New post 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
Re: Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bisect each o   [#permalink] 08 May 2017, 08:28
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