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ABCD is a parallelogram on xy rectangular coordinate plane
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05 Sep 2011, 02:16
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57% (02:17) correct 43% (02:06) wrong based on 432 sessions
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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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Re: ABCD is a parallelogram on xy rectangular coordinate plane
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31 Aug 2012, 02:34
The answer is option E. For better clarity please refer the picture attached. (Green Lines represents the correct answer).
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Re: Coordinate!!
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09 Sep 2011, 06:18
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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Re: Coordinate!!
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15 Sep 2011, 05:56
DeeptiM wrote: pls help me with the elimination method.. since it is a parallelogram, coordinates of 4th point can be (15,25), (5,5), or (5,25). Now check from options.



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Re: Coordinate!!
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16 Sep 2011, 02:47
hiimmunish wrote: DeeptiM wrote: pls help me with the elimination method.. since it is a parallelogram, coordinates 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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Re: Coordinate!!
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16 Sep 2011, 06:08
chawlavinu wrote: hiimmunish wrote: DeeptiM wrote: pls help me with the elimination method.. since it is a parallelogram, coordinates 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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Re: Coordinate!!
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16 Sep 2011, 21:10
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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Re: Coordinate!!
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16 Sep 2011, 22:16
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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Re: Coordinate!!
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16 Sep 2011, 22:50
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 AXCB, AX=CB, XCAB, XC=AB Y(5, 5): Parallelogram=AYBC, where AYBC, AY=BC, ACYB, AC=YB Z(15, 25): Parallelogram=ACZB, where ACZB, AC=ZB, CZAB, CZ=ABAns: "E" ************************************************************* Draw these on number line/graph.
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Re: Coordinate!!
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18 Sep 2011, 00:19
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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Re: Coordinate!!
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22 Sep 2011, 19:13
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 AXCB, AX=CB, XCAB, XC=AB Y(5, 5): Parallelogram=AYBC, where AYBC, AY=BC, ACYB, AC=YB Z(15, 25): Parallelogram=ACZB, where ACZB, AC=ZB, CZAB, 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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Re: Coordinate!!
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30 Aug 2012, 22:23
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
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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
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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
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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
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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
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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
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17 Jun 2014, 09:22
SOURH7WK wrote: The answer is option E. For better clarity please refer the picture attached. (Green Lines represents the correct answer). Ok.. i don't get it. All rectangles are parallelograms so with the point (5,25) we are getting a rectangle. So why cant it be the right answer.



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Re: ABCD is a parallelogram on xy rectangular coordinate plane
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20 Jun 2014, 14:01
There is a direct formula to solve this question, ABCD is a parallelogram with consecutive vertices (X1,Y1), (X2,Y2),(X3,Y3) AND (X4,Y4) Then Formula EQ: X1+X3=X2+X4 Y1+Y3=Y2+Y4 if three vertices are known you can find out fourth. but important is to know what are consecutive and what are opposite vertices.
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Re: ABCD is a parallelogram on xy rectangular coordinate plane
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04 Jun 2017, 12:02
Made a mistake in calculating the coordinate. Selected (5, 10) which should be (5, 5) but (5, 5) is not there the choices. So (15,25) is the answer.




Re: ABCD is a parallelogram on xy rectangular coordinate plane
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04 Jun 2017, 12:02



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