|
Author |
Message |
|
TAGS:
|
|
|
Director
Joined: 04 Jan 2006
Posts: 928
Followers: 1
Kudos [?]:
9
[0], given: 0
|
Is quadrilateral ABCD a rhombus? (1) Line segments AC and BD [#permalink]
 16 Apr 2006, 14:01
Question Stats:
0% (00:00) correct
 0% (00:00) wrong based on 0 sessions
Is quadrilateral ABCD a rhombus?
(1) Line segments AC and BD are perpendicular bisectors of each other.
(2) AB = BC = CD = AD
Hopefully this can lead to discussions on more details on Parallelograms, and what properties are enough to know the diagrams?
|
|
|
|
|
|
|
Manager
Joined: 08 Feb 2006
Posts: 128
Followers: 1
Kudos [?]:
0
[0], given: 0
|
Hmmn, I'm shooting for E. I think the statements could fit a square or a rhombus.
|
|
|
|
|
|
Senior Manager
Joined: 22 Nov 2005
Posts: 483
Followers: 1
Kudos [?]:
3
[0], given: 0
|
Based on given property it could be square or rhombus.
E
|
|
|
|
|
|
Manager
Joined: 20 Nov 2004
Posts: 111
Followers: 0
Kudos [?]:
1
[0], given: 0
|
gmat_crack wrote: Based on given property it could be square or rhombus.
E
That's true, but since a square is only a special case of a rhombus,
it is C.
|
|
|
|
|
|
Director
Joined: 04 Jan 2006
Posts: 928
Followers: 1
Kudos [?]:
9
[0], given: 0
|
Well the official answer is D...
it could be either.. its from manhattan..
if the diagonals are perpendicular bisectors, then it is a square or rhombus.. and if all the sides are equal too, it is square and rhombus..
a tough one.. i did E orignally..
but then when i looked at it.. it makes sense rthe question already gives us the information that its a quadrilateral.. so its a 4 sided figure...
|
|
|
|
|
|
VP
Joined: 07 Nov 2005
Posts: 1134
Location: India
Followers: 2
Kudos [?]:
22
[0], given: 1
|
Nice question. D is obvious after the explaination
|
|
|
|
|
|
VP
Joined: 28 Mar 2006
Posts: 1396
Followers: 1
Kudos [?]:
14
[0], given: 0
|
willget800 wrote: Well the official answer is D...
it could be either.. its from manhattan..
if the diagonals are perpendicular bisectors, then it is a square or rhombus.. and if all the sides are equal too, it is square and rhombus..
a tough one.. i did E orignally..
but then when i looked at it.. it makes sense rthe question already gives us the information that its a quadrilateral.. so its a 4 sided figure...
So if it is either of them how could it be Rhombus? Shouldnt the answer be E?
|
|
|
|
|
|
Senior Manager
Joined: 24 Jan 2006
Posts: 256
Followers: 1
Kudos [?]:
2
[0], given: 0
|
E from the given data, figure can be rectangle/rhombus
|
|
|
|
|
|
Senior Manager
Joined: 24 Jan 2006
Posts: 256
Followers: 1
Kudos [?]:
2
[0], given: 0
|
Square has all internal angles 90 right?
Square is a rhombus with all angles 90. right?
So, from the given data figure can be rhombus or sqare? and logically they are different figures. I have come across lots of rectangle and sqare problems causing same type of confusion but in those questions we look for exact specs.
|
|
|
|
|
|
Director
Joined: 04 Jan 2006
Posts: 928
Followers: 1
Kudos [?]:
9
[0], given: 0
|
square is a type of rhombus..
i was suprised manhattan put this question on a 500 to 600 bucket.. surely it is not!!!!!!!!!!!!!!!!!!
|
|
|
|
|
|
Intern
Joined: 25 Jan 2005
Posts: 19
Followers: 0
Kudos [?]:
0
[0], given: 0
|
willget800 wrote: square is a type of rhombus..
i was suprised manhattan put this question on a 500 to 600 bucket.. surely it is not!!!!!!!!!!!!!!!!!!
I still did not understand, how it is D.
Quadrilateral means a four sided figure. It can be a square too. Square is a type of quadrilateral. How do you say "D" is correct?
|
|
|
|
|
|
Senior Manager
Joined: 09 Aug 2005
Posts: 286
Followers: 1
Kudos [?]:
1
[0], given: 0
|
[quote="willget800"]Well the official answer is D...
it could be either.. its from manhattan..
if the diagonals are perpendicular bisectors, then it is a square or rhombus.. and if all the sides are equal too, it is square and rhombus..
a tough one.. i did E orignally..
but then when i looked at it.. it makes sense rthe question already gives us the information that its a quadrilateral.. so its a 4 sided figure...[/quote]
What about crossed quadrilaterals?
http://mathworld.wolfram.com/Quadrilateral.html
Answer could be A
|
|
|
|
|
|
SVP
Joined: 03 Jan 2005
Posts: 2322
Followers: 9
Kudos [?]:
157
[0], given: 0
|
Square is a very special quadrilateral. It can be seen as a special type of parallelogram, a special rectangle, and a special rhombus.
As for crossed quadrilaterals, I do not believe that it is possible that all of its sides are equal. Let's use the shape in the link you provided, ADBC. If AC=AD then angle ACD=angle ADC. If BC=BD, then angle BCD=angle BDC. However we also know that angle ACD < angle BCD and angle ADC > angle BDC. You can see that if the two angles in the right hand side are equal, then the angles in the left hand side can NOT be equal.
_________________
Keep on asking, and it will be given you;
keep on seeking, and you will find;
keep on knocking, and it will be opened to you.
|
|
|
|
|
|
Senior Manager
Joined: 09 Aug 2005
Posts: 286
Followers: 1
Kudos [?]:
1
[0], given: 0
|
true.
Cross quadrilaterals with all equal sides is impossible to draw in one plane.
Thanks Hong Hu for making me thing some more 
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
close
