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# Are all sides of quadrilateral ABCD equal?

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Math Expert
Joined: 02 Sep 2009
Posts: 54401

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20 Nov 2016, 10:33
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Difficulty:

45% (medium)

Question Stats:

54% (00:59) correct 46% (01:04) wrong based on 139 sessions

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Are all sides of quadrilateral ABCD equal?

(1) The diagonals of ABCD bisect each other at right angles.

(2) ABCD is a parallelogram with three equal sides.

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20 Nov 2016, 10:40
Bunuel wrote:
Are all sides of quadrilateral ABCD equal?

(1) The diagonals of ABCD bisect each other at right angles.

(2) ABCD is a parallelogram with three equal sides.

1. it is either rhombus or square - in either case, the sides are equal
2. it is impossible to have a parallelogram in which 3 sides are equal, and the fourth one to be of a different size.
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20 Nov 2016, 14:01
mvictor wrote:
Bunuel wrote:
Are all sides of quadrilateral ABCD equal?

(1) The diagonals of ABCD bisect each other at right angles.

(2) ABCD is a parallelogram with three equal sides.

1. it is either rhombus or square - in either case, the sides are equal
2. it is impossible to have a parallelogram in which 3 sides are equal, and the fourth one to be of a different size.

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Uh uh. I know what you're thinking. "Is the answer A, B, C, D or E?" Well to tell you the truth in all this excitement I kinda lost track myself. But you've gotta ask yourself one question: "Do I feel lucky?" Well, do ya, punk?
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06 Sep 2017, 22:55
Bunuel wrote:
Are all sides of quadrilateral ABCD equal?

(1) The diagonals of ABCD bisect each other at right angles.

(2) ABCD is a parallelogram with three equal sides.

Statement 1

By DEFINITION- IF a four sided figure has two diagonals that are perpendicular bisectors THEN the figure MUST be a rhombus. A rhombus has four equal sides.

Suff

Statement 2

Clearly suff

D
Re: Are all sides of quadrilateral ABCD equal?   [#permalink] 06 Sep 2017, 22:55
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