22 Square or not

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ern5231: Master | Next Rank: 500 Posts; Posts: 226; Joined: Sun Aug 09, 2009 4:34 am

by ern5231 » Sat May 01, 2010 7:03 am

Is the parallelogram ABCD a square?
1)Angle ABC= Angle BCD
2)The parallelogram has equal diagonals

I feel the answer should be E. What do you say?

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Source: Beat The GMAT — Data Sufficiency | Sat May 01, 2010 7:03 am

iamseer: Master | Next Rank: 500 Posts; Posts: 170; Joined: Wed Jun 10, 2009 5:59 am; Thanked: 13 times

by iamseer » Sat May 01, 2010 8:03 am

IMO E

From 1:
parallelogram could be a rhombus, rectangle or square
NOT SUFFICIENT

From 2:
parallelogram could be a rectangle or square

combining 1 and 2:
parallelogram still be a rectangle or a square

therefore E

"Choose to chance the rapids and dance the tides"

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beat_gmat_09: Master | Next Rank: 500 Posts; Posts: 437; Joined: Sat Nov 22, 2008 5:06 amFollowed by: 1 member; Location: India; Thanked: 50 times; GMAT Score:580

by beat_gmat_09 » Sat May 01, 2010 8:03 am

ern5231 wrote:Is the parallelogram ABCD a square?
1)Angle ABC= Angle BCD
2)The parallelogram has equal diagonals

I feel the answer should be E. What do you say?

Only when a parallelogram is a square its diagonals are equal.

IMO B.

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beat_gmat_09: Master | Next Rank: 500 Posts; Posts: 437; Joined: Sat Nov 22, 2008 5:06 amFollowed by: 1 member; Location: India; Thanked: 50 times; GMAT Score:580

by beat_gmat_09 » Sat May 01, 2010 8:19 am

beat_gmat_09 wrote:
ern5231 wrote:Is the parallelogram ABCD a square?
1)Angle ABC= Angle BCD
2)The parallelogram has equal diagonals

I feel the answer should be E. What do you say?
Only when a parallelogram is a square its diagonals are equal.

IMO B.

got really bad on this one (rectangle too has equal diagonals). need to brush my geometry concepts

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tryingtocrack: Junior | Next Rank: 30 Posts; Posts: 26; Joined: Tue Sep 26, 2006 5:39 pm; GMAT Score:660

by tryingtocrack » Sun May 02, 2010 7:22 am

E

For any || gm to be square

all sides to be equal
diagonals to be equal
opposite angles to be equal and all angles should be 90

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