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Is quadrilateral ABCD a square? (1) A = B = C = 90º (2) AB = AD

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Math Expert
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V
Joined: 02 Sep 2009
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Is quadrilateral ABCD a square? (1) A = B = C = 90º (2) AB = AD  [#permalink]

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New post 07 Aug 2018, 05:37
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

54% (00:49) correct 46% (00:36) wrong based on 68 sessions

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Director
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G
Joined: 20 Feb 2015
Posts: 790
Concentration: Strategy, General Management
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Re: Is quadrilateral ABCD a square? (1) A = B = C = 90º (2) AB = AD  [#permalink]

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New post 07 Aug 2018, 06:04
2
Bunuel wrote:
Is quadrilateral ABCD a square?

(1) A = B = C = 90º

(2) AB = AD



(1) A = B = C = 90º
can be a rectangle as well
insufficient

(2) AB = AD
What about the other side or angles --insufficient

Using both the statements . It is a square !!

C
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Re: Is quadrilateral ABCD a square? (1) A = B = C = 90º (2) AB = AD  [#permalink]

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New post 07 Aug 2018, 07:38
I would go for option C.

Statement 1 essentially tells us that d=90 degrees as well. However this can be either a square or a rectangle. So insufficient.
Statemnt 2 gives us information only about ab and ad. Nothing about the other two sides. So insufficient. Combining the two, if ab=ad and all angles are equal to 90 degrees, then it cant be a rectangle. Hence it is a square.
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Re: Is quadrilateral ABCD a square? (1) A = B = C = 90º (2) AB = AD   [#permalink] 07 Aug 2018, 07:38
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Is quadrilateral ABCD a square? (1) A = B = C = 90º (2) AB = AD

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