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Is Quadrilateral ABCD above a square?

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Bunuel
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Is Quadrilateral ABCD above a square? [#permalink] New post   09 Mar 2017, 02:33
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Is Quadrilateral ABCD above a square?

(1) Quadrilateral ABCD has four right angles

(2) a = b

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C
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ravisinghal
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Re: Is Quadrilateral ABCD above a square? [#permalink] New post   09 Mar 2017, 02:39
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statemt 1 - not suff --can be rectnage
stmt 2 ..not suff---can be rhombus

stmt 1 + 2 is sufficient

answer C
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KrishnakumarKA1
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Re: Is Quadrilateral ABCD above a square? [#permalink] New post   09 Mar 2017, 06:10
For a quadrilateral to be square:
1# all interior angles should be right angle
2# adjacent side should be equal

St 1: suffice only 1 not 2. INSUFFICIENT
St 2: suffice only 2 not 1. INSUFFICIENT

St 1 & St 2: suffice both. ANSWER

Option C
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Re: Is Quadrilateral ABCD above a square? [#permalink] New post   09 Mar 2017, 07:09
C?

From ST.1 , can be rectangle or square.

From St2. Insuff.

All angles are equal to 90 deg and a=b, sufficient to prove it is square.
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Re: Is Quadrilateral ABCD above a square? [#permalink] New post   09 Mar 2017, 09:27
Bunuel wrote:

Is Quadrilateral ABCD above a square?

(1) Quadrilateral ABCD has four right angles

(2) a = b

Show Spoiler
Attachment:
Quadrilateral_ABCD2.png


Hi,

1)Quadrilateral ABCD has four right angles --Can be Square or Rectangle-Not Suff

2)a = b Can be Square or Rhombus or Kite

(1)+(2) Gives Square

Hence C
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Re: Is Quadrilateral ABCD above a square? [#permalink] New post   12 Mar 2017, 21:31
Okay so I was totally thrown off by the second statement. Why did I not rhombus...anyways, there is also something I wanted to ask regarding this question

Is Quadrilateral ABCD above a square?

(1) Quadrilateral ABCD has four right angles

(2) a = b


If we look at statement (1)- sorry if this is a question worth admonishing someone with response containing a very obvious and fundamental answer, but couldn't four right angles also be in a rectangle? From this reasoning, I concluded statement one was insufficient.
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Re: Is Quadrilateral ABCD above a square? [#permalink]
12 Mar 2017, 21:31
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Bunuel
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