Of Squares, Rectangles & Quadrilateral

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Of Squares, Rectangles & Quadrilateral [#permalink]

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!

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

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

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

19 Jul 2009, 13:19

rashminet84 wrote:

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]

19 Jul 2009, 13:28

Economist wrote:

rashminet84 wrote:

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]

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

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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