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Is quadrilateral ABCD a rectangle?

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Manager
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Is quadrilateral ABCD a rectangle?  [#permalink]

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New post 16 Jul 2013, 19:23
4
28
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A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

52% (01:05) correct 48% (01:02) wrong based on 341 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
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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 6188 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 4335 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 02 Oct 2019, 20:25
For those drawing the kite or baseball field shapes please note that "length," and "width," imply directly opposite of each other (parallel) - square, rectangle, trapezoid.
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Re: Is quadrilateral ABCD a rectangle?   [#permalink] 02 Oct 2019, 20:25
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