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Is the figure ABCD a rectangle? (1) x = 90 (2) AB = CD

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Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42529

Kudos [?]: 135163 [0], given: 12664

Is the figure ABCD a rectangle? (1) x = 90 (2) AB = CD [#permalink]

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New post 29 Oct 2017, 01:54
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

67% (00:30) correct 33% (00:28) wrong based on 56 sessions

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Kudos [?]: 135163 [0], given: 12664

Intern
Intern
avatar
B
Joined: 15 Aug 2016
Posts: 42

Kudos [?]: 1 [0], given: 71

Is the figure ABCD a rectangle? (1) x = 90 (2) AB = CD [#permalink]

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New post 29 Oct 2017, 11:06
IMO:E.

statement-1 x=90.

We dont know anything about the sides. It Can be square or a rectangle or any other quadilateral.Insuff

Statement -2 AB=CD.

We dont know anything about angles.Insuff

Statement 1+2.

We dont know if Ab is parallel to CD or not. Thus quadilateral could be a kite also. Also nothing about BC and AD is given.
Isuff

Kudos [?]: 1 [0], given: 71

Intern
Intern
avatar
B
Joined: 19 Oct 2015
Posts: 32

Kudos [?]: 2 [0], given: 9

Re: Is the figure ABCD a rectangle? (1) x = 90 (2) AB = CD [#permalink]

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New post 02 Nov 2017, 09:40
Properties of Rectangle:
1. All angles are 90 degree
2. Opp sides are same
------

Option 1: we just know about one side , which is 90 degree. But we don't know anything about other angles.
Hence, Insufficient

Option 2: It mentions that 2 sides are same. It fails to provide information whether 2 sides are parallel.
It also fails to provide information about other two sides.
Hence, Insufficient

When you combine, still we are not sure about this. This can take any shape.
IMO: E

Kudos [?]: 2 [0], given: 9

Re: Is the figure ABCD a rectangle? (1) x = 90 (2) AB = CD   [#permalink] 02 Nov 2017, 09:40
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Is the figure ABCD a rectangle? (1) x = 90 (2) AB = CD

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