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I am getting,( -5, 25) as the vertices of the 4rth vertex

Expert replies
by [email protected] » Mon Aug 12, 2013 5:55 pm
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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Source: — Problem Solving |

by Brent@GMATPrepNow » Mon Aug 12, 2013 6:50 pm
[email protected] 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?

A. (-5,-5)
B. (5,15)
C. (-5,-25)
D. (-5,10)
E. (15,25)
A vertex at (-5, 25) does, indeed, create a parallelogram.
Image
BUT, (-5, 25) is not one of the answer choices.


A vertex at [spoiler](15, 25)[/spoiler] also creates a parallelogram.
Image

Answer: E

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image
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by ganeshrkamath » Tue Aug 13, 2013 12:11 am
[email protected] 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?

A. (-5,-5)
B. (5,15)
C. (-5,-25)
D. (-5,10)
E. (15,25)
Connect the three dots.
Now to form a parallelogram you can make any one of the lines of the triangle the diagonal of the parallelogram.

You will now get three possible coordinates for the 4th vertex of the parallelogram : (-5,25) , (15,25) , (-5,5)

The only one available in the options is (15,25) which is E.

Cheers
Every job is a self-portrait of the person who did it. Autograph your work with excellence.

Kelley School of Business (Class of 2016)
GMAT Score: 750 V40 Q51 AWA 5 IR 8
https://www.beatthegmat.com/first-attemp ... tml#688494
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