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Of Squares, Rectangles & Quadrilateral

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Intern
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Of Squares, Rectangles & Quadrilateral [#permalink] New post 18 Jul 2009, 20:13
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

100% (00:00) correct 0% (00:00) wrong based on 1 sessions
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
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Re: Of Squares, Rectangles & Quadrilateral [#permalink] New post 18 Jul 2009, 20:22
(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
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Re: Of Squares, Rectangles & Quadrilateral [#permalink] New post 19 Jul 2009, 12:19
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?
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Re: Of Squares, Rectangles & Quadrilateral [#permalink] New post 19 Jul 2009, 12:28
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.
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Re: Of Squares, Rectangles & Quadrilateral [#permalink] New post 20 Jul 2009, 08:45
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
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Re: Of Squares, Rectangles & Quadrilateral [#permalink] New post 23 Jul 2009, 07:20
Thanks for the guidance~
Re: Of Squares, Rectangles & Quadrilateral   [#permalink] 23 Jul 2009, 07:20
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Of Squares, Rectangles & Quadrilateral

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