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# Of Squares, Rectangles & Quadrilateral

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Intern
Joined: 01 May 2009
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Of Squares, Rectangles & Quadrilateral [#permalink]

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18 Jul 2009, 21:13
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Dear People,

Some help needed, getting real desperate here

Is quadrilateral Q a square?
(1) The sides of Q have the same length.
(2) The diagonals of Q have the same length.

Many many thanks to all of u!
Senior Manager
Joined: 04 Jun 2008
Posts: 290
Followers: 6

Kudos [?]: 139 [0], given: 15

Re: Of Squares, Rectangles & Quadrilateral [#permalink]

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18 Jul 2009, 21:22
(1) The sides of Q have the same length.

insuff: could be a rhombus or a square

(2) The diagonals of Q have the same length.

insufficient: could be a rectangle or square

combine: sufficient, both are only possible in case of square
Director
Joined: 01 Apr 2008
Posts: 881
Name: Ronak Amin
Schools: IIM Lucknow (IPMX) - Class of 2014
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Re: Of Squares, Rectangles & Quadrilateral [#permalink]

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19 Jul 2009, 13:19
rashminet84 wrote:
(1) The sides of Q have the same length.

insuff: could be a rhombus or a square

(2) The diagonals of Q have the same length.

insufficient: could be a rectangle or square

combine: sufficient, both are only possible in case of square

I always thought diagonals of a rhombus are also equal in length! Or am I wrong?
Director
Joined: 01 Apr 2008
Posts: 881
Name: Ronak Amin
Schools: IIM Lucknow (IPMX) - Class of 2014
Followers: 30

Kudos [?]: 707 [0], given: 18

Re: Of Squares, Rectangles & Quadrilateral [#permalink]

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19 Jul 2009, 13:28
Economist wrote:
rashminet84 wrote:
(1) The sides of Q have the same length.

insuff: could be a rhombus or a square

(2) The diagonals of Q have the same length.

insufficient: could be a rectangle or square

combine: sufficient, both are only possible in case of square

I always thought diagonals of a rhombus are also equal in length! Or am I wrong?

Yup, I had a big misconception...Diagonals of a rhombus are not necessarily equal in length, they have only two properties:
1) They bisect each other.
2) They are perpendicular to each other.
Manager
Joined: 18 Jul 2009
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Location: India
Schools: South Asian B-schools
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Re: Of Squares, Rectangles & Quadrilateral [#permalink]

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20 Jul 2009, 09:45
Prop of quadrilateral

1) leads to => rhombus or square => insufficient
2) leads to => could be a rectangle or square => insufficient

combine (1+2) : sufficient, both are only possible in case of square => sufficient hence C
_________________

Bhushan S.
If you like my post....Consider it for Kudos

Intern
Joined: 01 May 2009
Posts: 41
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Re: Of Squares, Rectangles & Quadrilateral [#permalink]

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23 Jul 2009, 08:20
Thanks for the guidance~
Re: Of Squares, Rectangles & Quadrilateral   [#permalink] 23 Jul 2009, 08:20
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# Of Squares, Rectangles & Quadrilateral

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