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Is quadrilateral ABCD a Rectangle?

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Is quadrilateral ABCD a Rectangle?  [#permalink]

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New post 31 Jul 2017, 06:43
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A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

44% (01:10) correct 56% (01:18) wrong based on 54 sessions

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Is quadrilateral ABCD a Rectangle?

Statement 1: AB is perpendicular to BC and is parallel to CD.
Statement 2: AC=BD
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Re: Is quadrilateral ABCD a Rectangle?  [#permalink]

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New post 31 Jul 2017, 07:14
1
DH99 wrote:
Is quadrilateral ABCD a Rectangle?

Statement 1: AB is perpendicular to BC and is parallel to CD.
Statement 2: AC=BD



Hi...
I tells us AB and CD are perpendicular to BC. But we don't know about AD..
CD could be stretching towards for infinity length.
Insufficient
II tells us nothing much...

Combined..
The diagonals are EQUAL and AB and CD are perpendicular to BC..
So ABCD is a rectangle..
Sufficient

C
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html


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Re: Is quadrilateral ABCD a Rectangle?  [#permalink]

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New post 31 Jul 2017, 07:21
Hi@chetan2u.I solved using this method.Is the method correct?

From1: Trapezium,Rectangle
From 2: Isoscles Trapezium,Sq,Rectangle
1+2>> Rectangle
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Re: Is quadrilateral ABCD a Rectangle?  [#permalink]

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New post 31 Jul 2017, 07:32
1
DH99 wrote:
Hi@chetan2u.I solved using this method.Is the method correct?

From1: Trapezium,Rectangle
From 2: Isoscles Trapezium,Sq,Rectangle
1+2>> Rectangle


HI..

you are correct.
ONLY observation I have --
statement II leads toany quadrilateral, since we do not know where do they cut each other..
so it could be square, trapezium, any quadrilateral..
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html


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Re: Is quadrilateral ABCD a Rectangle?  [#permalink]

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New post 31 Jul 2017, 08:29
If we combine two statements why it can't be square..Let me know where I am going wrong.
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Re: Is quadrilateral ABCD a Rectangle?  [#permalink]

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New post 31 Jul 2017, 08:34
vivek2k70 wrote:
If we combine two statements why it can't be square..Let me know where I am going wrong.


Hi vivek2k70, combining we can get a square as well as a rectangle(Either).Since, square is a type of rectangle.So combining the two is sufficient.
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Re: Is quadrilateral ABCD a Rectangle?  [#permalink]

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New post 31 Jul 2017, 08:42
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vivek2k70 wrote:
If we combine two statements why it can't be square..Let me know where I am going wrong.


A square is a type of rectangle.
So, if a quadrilateral is a square, then it it also a rectangle.
In fact, a square also a type of parallelogram AND a type of rhombus

MORE HERE:

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Re: Is quadrilateral ABCD a Rectangle?  [#permalink]

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New post 04 Mar 2019, 04:07
DHAR wrote:
Is quadrilateral ABCD a Rectangle?

Statement 1: AB is perpendicular to BC and is parallel to CD.
Statement 2: AC=BD



#1
we dont know about AD and BC sides ; are they also perpendicular or not
not sufficient
#2
ac=bd ; no info of what they can determine

from 1&2
ABCD is quadrilateral with diagonal AC & DB and sides which are perpendicular
IMO C sufficient to conclude ABCD is a rectangle
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Re: Is quadrilateral ABCD a Rectangle?   [#permalink] 04 Mar 2019, 04:07
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