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Is quadrilateral ABCD a square? (1) AB = BC = CD = DA (2)

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Is quadrilateral ABCD a square? (1) AB = BC = CD = DA (2) [#permalink] New post 14 Nov 2008, 09:27
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Is quadrilateral ABCD a square?
(1) AB = BC = CD = DA
(2) A+B = 180

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

Last edited by haichao on 14 Nov 2008, 13:21, edited 1 time in total.
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Re: SQUARE---26 (edit) [#permalink] New post 14 Nov 2008, 17:56
E

Stmnt 1) all the sides are equal. - INSUFF.

Doesn't give any concrete property of SQUARE, it can be RHOMBUS as well..

Stmt2 - Assuming A, B are adjacent angles. Still INSUFF.
it can be any figure like square, rhombus, rectangle, parellogram.

Combine together also doesn't give clear picture. It can be rhombus as well
Re: SQUARE---26 (edit)   [#permalink] 14 Nov 2008, 17:56
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Is quadrilateral ABCD a square? (1) AB = BC = CD = DA (2)

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