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There is a quadrangle ABCD(Clock-wise). Is ABCD a square? 1)

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Director
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There is a quadrangle ABCD(Clock-wise). Is ABCD a square? 1) [#permalink] New post 18 Jan 2006, 04:21
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A
B
C
D
E

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There is a quadrangle ABCD(Clock-wise). Is ABCD a square?


1) AB=BC=CD=DA

2) Angle BAD+Angle ADC=180
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 [#permalink] New post 18 Jan 2006, 06:23
1) Insufficient. Could be a rhombus

2) Insufficient. We do not know if BAD and ADC are right angles, or BAD could be 170 degrees while ADC is 10 degrees.

Using both, we know that BAD and ADC are right angles since the sides must be equal.

Ans: C
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 [#permalink] New post 18 Jan 2006, 07:13
E.

The BAD + ADC can also be equal to 180 in rombus.
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 [#permalink] New post 18 Jan 2006, 08:23
cool_jonny009 wrote:
E.

The BAD + ADC can also be equal to 180 in rombus.

geeeeeeeeeeeee...... :(
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 [#permalink] New post 18 Jan 2006, 09:57
1 more for E as it could be a rhombus
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 [#permalink] New post 18 Jan 2006, 12:11
Answer is C... both to gather sufficient..
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 [#permalink] New post 18 Jan 2006, 16:15
This is E

St1: Could be a rhombus, square. INSUFF

St2: Still could be a rhombus, rectangle, square. INSUFF

Combined:

Could be a rhombus or square. INSUFF

Initially after seeing so many Cs as answers, I started scratching my head. But atlast a sigh of relief.
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 [#permalink] New post 18 Jan 2006, 17:59
lhotseface wrote:
E. could be rhombus


agreed. yest it could be rohmbus.

if Angle BAD (90)+Angle ADC (90)=180,
then Angle BCD (90) +Angle ABC (90) =180

if Angle BAD (50) +Angle ADC (130) =180
then Angle BCD (50) +Angle ABC (130) =180

so insuff.....
  [#permalink] 18 Jan 2006, 17:59
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There is a quadrangle ABCD(Clock-wise). Is ABCD a square? 1)

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