Square?

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Square?

by Mclaughlin » Mon Jul 21, 2008 9:01 pm
E, F, G, and H are the vertices of a polygon. Is polygon EFGH a square?

(1) EFGH is a parallelogram.

(2) The diagonals of EFGH are perpendicular bisectors of one another.

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by microke » Mon Jul 21, 2008 10:44 pm
I think the asnwer can be E..

Statement 1 is not sufficient, since a rectangle can also be called as a parallelogram.

Statement 2 alone is also not sufficient, since the same conditions can be said for a rectangle.

Both together do not give any additional information..hence E

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by Stuart@KaplanGMAT » Mon Jul 21, 2008 11:09 pm
microke wrote:I think the asnwer can be E..

Statement 1 is not sufficient, since a rectangle can also be called as a parallelogram.

Statement 2 alone is also not sufficient, since the same conditions can be said for a rectangle.

Both together do not give any additional information..hence E
A rectangle doesn't have perpendicular bisectors (unless it's a square, of course).

However, both statements could be describing a rhombus, so the answer is in fact (e).
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by microke » Tue Jul 22, 2008 2:37 am
Thanks Stuart for correcting me. Everytime I come across you, i am getting a valuable input from you.......