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Is quadrilateral ABCD a rectangle?

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Is quadrilateral ABCD a rectangle?  [#permalink]

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New post 16 Jul 2013, 19:23
3
24
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

49% (01:05) correct 51% (01:02) wrong based on 424 sessions

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Is quadrilateral ABCD a rectangle?

(1) Two sides of ABCD are equal in length

(2) Two opposite internal angles of ABCD are right angles


Thought this was a good question; really tested my visualization. (Please don't think harder just because I said that...)

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Re: Is quadrilateral ABCD a rectangle?  [#permalink]

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New post 16 Jul 2013, 22:46
3
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mattce wrote:
Is quadrilateral ABCD a rectangle?

(1) Two sides of ABCD are equal in length

(2) Two opposite internal angles of ABCD are right angles


Thought this was a good question; really tested my visualization. (Please don't think harder just because I said that...)


The question has quite ambiguous wording...

Anyway, check the diagram below:
Attachment:
E.png
E.png [ 2.77 KiB | Viewed 5652 times ]
Answer: E.
Similar question to practice: is-quadrilateral-rstv-a-rectangle-130928.html
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Re: Is quadrilateral ABCD a rectangle?  [#permalink]

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New post 13 Jun 2015, 08:24
mattce wrote:
Is quadrilateral ABCD a rectangle?

(1) Two sides of ABCD are equal in length

(2) Two opposite internal angles of ABCD are right angles


Thought this was a good question; really tested my visualization. (Please don't think harder just because I said that...)


Help from Economist:
Stat.(1+2) combined: trying to draw a quadrilateral with two equal sides and two opposite right angles, did you assume the equal sides are opposite? Don't assume anything that isn't given in the question stem or statements. The equal sides can be adjacent, like in a kite.

Attachment:
T6059b.png
T6059b.png [ 3.37 KiB | Viewed 3802 times ]

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Re: Is quadrilateral ABCD a rectangle?  [#permalink]

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New post 14 Jun 2015, 19:40
Is quadrilateral ABCD a rectangle?

(1) Two sides of ABCD are equal in length- It did not say opposite sides, so the adjacent side can be equal as well. It does not provide enough information to conclude.

(2) Two opposite internal angles of ABCD are right angles.- As shown above there can be different picture representing this scenario. Not sufficient

Together they dont give enough info.

(E)

Brunnel- please let me know if the logic is correct?
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Re: Is quadrilateral ABCD a rectangle?  [#permalink]

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New post 24 Aug 2018, 07:32
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Re: Is quadrilateral ABCD a rectangle?   [#permalink] 24 Aug 2018, 07:32
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