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# Is quadrilateral ABCD a rectangle?

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Manager
Status: Training
Joined: 03 Jun 2013
Posts: 78
GPA: 3.7

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16 Jul 2013, 19:23
4
28
00:00

Difficulty:

55% (hard)

Question Stats:

52% (01:05) correct 48% (01:02) wrong based on 341 sessions

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(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...)
Math Expert
Joined: 02 Sep 2009
Posts: 60559

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16 Jul 2013, 22:46
3
1
mattce wrote:

(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 [ 2.77 KiB | Viewed 6188 times ]
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Joined: 29 Apr 2015
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Location: Switzerland
Concentration: Economics, Finance
Schools: LBS MIF '19
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13 Jun 2015, 08:24
mattce wrote:

(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 [ 3.37 KiB | Viewed 4335 times ]
Intern
Joined: 27 Jul 2011
Posts: 6

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14 Jun 2015, 19:40

(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?
Intern
Joined: 29 Aug 2019
Posts: 15

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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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