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Is the quadrilateral ABCD a square?
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29 Jul 2015, 02:09
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60% (00:32) correct 40% (00:31) wrong based on 310 sessions
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Re: Is the quadrilateral ABCD a square?
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29 Jul 2015, 02:29
Bunuel wrote: Is the quadrilateral ABCD a square?
(1) All four sides of ABCD have the same length. (2) Two of the adjacent angles of ABCD add up to 180 degrees.
Kudos for a correct solution. Statement 1, tells us that ABCD can be a Square OR a rhombus. Therefore IS. Statement 2, tells us nothing new about what we already know about any quadrilateral. Adjacent angles add up to 180. This can be a Rhombus or Square. Answer E.
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Is the quadrilateral ABCD a square?
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Updated on: 31 Jul 2015, 00:51
Bunuel wrote: Is the quadrilateral ABCD a square?
(1) All four sides of ABCD have the same length. (2) Two of the adjacent angles of ABCD add up to 180 degrees.
Kudos for a correct solution. Statement 1: All four sides of ABCD have the same length.ABCD can be a square or rhombus. Hence not suffStatement 2: Two of the adjacent angles of ABCD add up to 180 degrees.It tells us that ABCD is a quadrilateral. Hence not suffCombined: Even square and rhombus has their adj angles sum = 180. Hence not suff
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Originally posted by VenoMfTw on 29 Jul 2015, 02:53.
Last edited by VenoMfTw on 31 Jul 2015, 00:51, edited 1 time in total.



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Re: Is the quadrilateral ABCD a square?
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29 Jul 2015, 07:56
Bunuel wrote: Is the quadrilateral ABCD a square?
(1) All four sides of ABCD have the same length. (2) Two of the adjacent angles of ABCD add up to 180 degrees.
Kudos for a correct solution. Question : Is the quadrilateral ABCD a square?Statement 1: All four sides of ABCD have the same length.i.e. Quadrilateral can be a Square or a Rhombus. Hence, NOT SUFFICIENTStatement 2: Two of the adjacent angles of ABCD add up to 180 degrees.i.e. Quadrilateral can be a Square or a Rhombus or a parallelogram of a Rectangle. Hence, NOT SUFFICIENTCombining the two statementsi.e. Quadrilateral can be a Square or a Rhombus. Hence, NOT SUFFICIENTAnswer : Option E.
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Re: Is the quadrilateral ABCD a square?
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30 Jul 2015, 02:16
isnt rhombus a type of square?...so should'nt the answer be 'A'?



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Re: Is the quadrilateral ABCD a square?
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30 Jul 2015, 02:35
jayanthjanardhan wrote: isnt rhombus a type of square?...so should'nt the answer be 'A'? Square is type of RhombusBUT Rhombus is NOT a type of square
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Re: Is the quadrilateral ABCD a square?
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30 Jul 2015, 04:37
E
1. it could be rhombus or square 2. could be rhombus or square
both are not sufficient



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Re: Is the quadrilateral ABCD a square?
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17 Aug 2015, 08:04
Bunuel wrote: Is the quadrilateral ABCD a square?
(1) All four sides of ABCD have the same length. (2) Two of the adjacent angles of ABCD add up to 180 degrees.
Kudos for a correct solution. 800score Official Solution:It is important that you're not fooled by questions like these. On the surface of statement (1), it would immediately seem that a quadrilateral with four sides of equal length would be a square. Remember, however, that this property also applies to a rhombus. Statement (1) is therefore insufficient. Statement (2) is also insufficient. All parallelograms have this property. Taken together, both statements are still insufficient. The quadrilateral could still be either a rhombus or a square. The answer is (E).
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Re: Is the quadrilateral ABCD a square?
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17 Aug 2015, 08:08



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Re: Is the quadrilateral ABCD a square?
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02 Sep 2016, 00:47
reto wrote: Bunuel wrote: Is the quadrilateral ABCD a square?
(1) All four sides of ABCD have the same length. (2) Two of the adjacent angles of ABCD add up to 180 degrees.
Kudos for a correct solution. Statement 1, tells us that ABCD can be a Square OR a rhombus. Therefore IS. Statement 2, tells us nothing new about what we already know about any quadrilateral. Adjacent angles add up to 180. This can be a Rhombus or Square. Answer E. I am having slight confusion in statement 1,All squares are both rhombus and rectangles.That's what I read in GMAT mathclub book. So,if a square is also a rhombus.Then,the answer to the question:is the quadrilateral ABCD a square? would be "NO".Isn't it? So the answer should be A. What am i missing here?



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Re: Is the quadrilateral ABCD a square?
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03 Sep 2016, 23:53
Ashishsteag wrote: reto wrote: Bunuel wrote: Is the quadrilateral ABCD a square?
(1) All four sides of ABCD have the same length. (2) Two of the adjacent angles of ABCD add up to 180 degrees.
Kudos for a correct solution. Statement 1, tells us that ABCD can be a Square OR a rhombus. Therefore IS. Statement 2, tells us nothing new about what we already know about any quadrilateral. Adjacent angles add up to 180. This can be a Rhombus or Square. Answer E. I am having slight confusion in statement 1,All squares are both rhombus and rectangles.That's what I read in GMAT mathclub book. So,if a square is also a rhombus.Then,the answer to the question:is the quadrilateral ABCD a square? would be "NO".Isn't it? So the answer should be A. What am i missing here? All squares are rhombus and rectangle but the converse is not true. I mean a rectangle or a rhombus may or may not be a square. So, A tells us that ABCD is a square or a rhombus. Hence, if we could have ABCD a rhombus, in that case it may or may not be a square.
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Re: Is the quadrilateral ABCD a square?
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06 Sep 2017, 22:05
Bunuel wrote: Is the quadrilateral ABCD a square?
(1) All four sides of ABCD have the same length. (2) Two of the adjacent angles of ABCD add up to 180 degrees.
Kudos for a correct solution. They key concepts in this question are that all squares are rhombuses but not all rhombuses are squares. A rhombus has both four equal sides AND two adjacent angles of ABCD add up to 180. ALSO if a four sided figure's diagonals are perpendicular bisectors then the figure must be a rhombus. E



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Re: Is the quadrilateral ABCD a square?
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24 Sep 2018, 19:49
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Re: Is the quadrilateral ABCD a square? &nbs
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