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ABCD is a parallelogram on xy rectangular coordinate plane [#permalink]
 05 Sep 2011, 02:16
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ABCD is a parallelogram on xy rectangular coordinate plane, three of the four vertices of parallelogram are (5,15) , (5,25) and (-5,15). Which can be the coordinate of fourth vertex? A. (-5,-5) B. (5,15) C. (-5,-25) D. (-5,10) E. (15,25)
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the answer is (15, 25) E. It's sense that the answer is E. the shape is parallelogram send the last point to the far right
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find it hard to believe this is a 700 lvl question.
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DeeptiM wrote: pls help me with the elimination method.. since it is a parallelogram, co-ordinates of 4th point can be (15,25), (-5,5), or (-5,25). Now check from options.
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hiimmunish wrote: DeeptiM wrote: pls help me with the elimination method.. since it is a parallelogram, co-ordinates of 4th point can be (15,25), (-5,5), or (-5,25). Now check from options. The options (-5,25) is also possible condidate since this option will make a square (a type of parallelogram). Finally, (-5,25), (-5,5) and (15,25) all look the possible options. How do you really eliminate??
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chawlavinu wrote: hiimmunish wrote: DeeptiM wrote: pls help me with the elimination method.. since it is a parallelogram, co-ordinates of 4th point can be (15,25), (-5,5), or (-5,25). Now check from options. The options (-5,25) is also possible condidate since this option will make a square (a type of parallelogram). Finally, (-5,25), (-5,5) and (15,25) all look the possible options. How do you really eliminate?? Other than (15,25), none is an option.
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none of the given options are correct. Correct option should be (-5,25)
adjacent sides are equal in length and perpendicular to each other. Hence this is a square.
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I also got the answer as (-5,25) but the options does not have it  so we can use the midpoint method as well correct  Thanks
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DeeptiM wrote: ABCD is a parallelogram on xy rectangular coordinate plane, three of the four vertices of parallelogram are (5,15) , (5,25) and (-5,15). Which can be the coordinate of fourth vertex?
(-5,-5)
(5,15)
(-5,-25)
(-5,10)
(15,25) From stem, A(-5, 15) B(5, 15) C(5, 25) There are at least 3 possible point I can think of: X(-5, 25): Parallelogram=Square=AXCB, where AX||CB, AX=CB, XC||AB, XC=AB Y(-5, 5): Parallelogram=AYBC, where AY||BC, AY=BC, AC||YB, AC=YB Z(15, 25): Parallelogram=ACZB, where AC||ZB, AC=ZB, CZ||AB, CZ=ABAns: "E" ************************************************************* Draw these on number line/graph.
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Yup there are precisely 3 possible points a) -5,25 b) -5,5 c) 15,25 which is the answer. Hence E.
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http://gmatclub.com/forum/massive-collection-of-verbal-questions-sc-rc-and-cr-106195.html#p832142
http://gmatclub.com/forum/1001-ds-questions-file-106193.html#p832133
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http://gmatclub.com/forum/how-to-get-6-0-awa-my-guide-64327.html
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fluke wrote: DeeptiM wrote: ABCD is a parallelogram on xy rectangular coordinate plane, three of the four vertices of parallelogram are (5,15) , (5,25) and (-5,15). Which can be the coordinate of fourth vertex?
(-5,-5)
(5,15)
(-5,-25)
(-5,10)
(15,25) From stem, A(-5, 15) B(5, 15) C(5, 25) There are at least 3 possible point I can think of: X(-5, 25): Parallelogram=Square=AXCB, where AX||CB, AX=CB, XC||AB, XC=AB Y(-5, 5): Parallelogram=AYBC, where AY||BC, AY=BC, AC||YB, AC=YB Z(15, 25): Parallelogram=ACZB, where AC||ZB, AC=ZB, CZ||AB, CZ=ABAns: "E" ************************************************************* Draw these on number line/graph. Fluke, I am still consfused for you choosing the third option (15,25). Why didn't you choose the other two possible options?
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ABCD is a parallelogram on xy rectangular coordinate plane, three of the four vertices of parallelogram are (5,15) , (5,25) and (-5,15). Which can be the coordinate of fourth vertex? Draw the given coordinates on the xy plane and figure out which one will "connect the dot " (-5,-5) falling in 4th quadrant -incorrect (5,15) same point as one of the point already the parallelogram -incorrect (-5,-25) falling in 4th quadrant -incorrect (-5,10) improper to draw a parallelogram -incorrect (15,25) correct
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Re: ABCD is a parallelogram on xy rectangular coordinate plane [#permalink]
31 Aug 2012, 02:34
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The answer is option E. For better clarity please refer the picture attached. (Green Lines represents the correct answer).
Attachments
XY Graph.JPG [ 72.1 KiB | Viewed 1366 times ]
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Re: ABCD is a parallelogram on xy rectangular coordinate plane [#permalink]
31 Aug 2012, 03:26
By plotting the points one can easily point out the fourth vertex as (15,25) making the opposite sides parallel and equal so the right choice should be E) But I found this a bit lengthy..Is there any other way out
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Re: ABCD is a parallelogram on xy rectangular coordinate plane [#permalink]
31 Aug 2012, 11:04
ratinarace wrote: By plotting the points one can easily point out the fourth vertex as (15,25) making the opposite sides parallel and equal so the right choice should be E) But I found this a bit lengthy..Is there any other way out Plotting it does not take long. It need not be exact. If it takes you long, maybe you should practice it a little bit. The/another other option is plotting it in your mind.
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Re: ABCD is a parallelogram on xy rectangular coordinate plane [#permalink]
01 Sep 2012, 05:51
Instead of following any rule/formula, this question is much easier if done by making a drawing on the paper. Without visualizing, it is difficult to eliminate the options.
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Re: ABCD is a parallelogram on xy rectangular coordinate plane [#permalink]
11 Nov 2012, 17:16
I have got a very simple doubt i think none of the options mentioned are correct.
If we consider one of the base as A as (-5,15) B as (5,15) so the distance is 11 units not by distance formula just by observation, this distance should be equal to CD given C is (5,25) hence to keep the distance of CD 11 units the X co ordinate should be either -5 or 16 and not 15..
Pls correct me if i am wrong, yes just by quick observation (15 , 25 ) is the correct answer....
But if calculating this isnt......
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Re: ABCD is a parallelogram on xy rectangular coordinate plane [#permalink]
06 Dec 2012, 00:26
SOURH7WK wrote: The answer is option E. For better clarity please refer the picture attached. (Green Lines represents the correct answer). Well, I still see 3!!! parallelograms. Why is square not a parallelogram?
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Re: ABCD is a parallelogram on xy rectangular coordinate plane
[#permalink]
06 Dec 2012, 00:26
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