ABCD is a parallelogram on xy rectangular coordinate plane : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 17 Jan 2017, 18:00

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# ABCD is a parallelogram on xy rectangular coordinate plane

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 15 Feb 2011
Posts: 263
Followers: 4

Kudos [?]: 151 [4] , given: 9

ABCD is a parallelogram on xy rectangular coordinate plane [#permalink]

### Show Tags

05 Sep 2011, 01:16
4
KUDOS
11
This post was
BOOKMARKED
00:00

Difficulty:

75% (hard)

Question Stats:

50% (02:39) correct 50% (01:08) wrong based on 355 sessions

### HideShow timer Statistics

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)
[Reveal] Spoiler: OA
Intern
Joined: 02 Sep 2011
Posts: 10
Followers: 0

Kudos [?]: 0 [0], given: 0

### Show Tags

09 Sep 2011, 05:18
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
Intern
Joined: 10 May 2011
Posts: 22
Location: India
Concentration: Strategy, General Management
GMAT 1: 690 Q50 V32
Followers: 0

Kudos [?]: 6 [0], given: 0

### Show Tags

15 Sep 2011, 04:56
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.
Intern
Status: Mission MBA
Joined: 02 Jul 2010
Posts: 45
Schools: ISB, IIMs
Followers: 0

Kudos [?]: 14 [1] , given: 5

### Show Tags

16 Sep 2011, 01:47
1
KUDOS
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??
_________________

If you find my posts useful, Appreciate me with the kudos!! +1

Intern
Joined: 10 May 2011
Posts: 22
Location: India
Concentration: Strategy, General Management
GMAT 1: 690 Q50 V32
Followers: 0

Kudos [?]: 6 [0], given: 0

### Show Tags

16 Sep 2011, 05:08
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.
Director
Joined: 01 Feb 2011
Posts: 757
Followers: 14

Kudos [?]: 115 [0], given: 42

### Show Tags

16 Sep 2011, 20:10
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.
Intern
Joined: 09 Aug 2011
Posts: 9
Location: India
Concentration: Finance, Strategy
GMAT Date: 09-30-2011
WE: Corporate Finance (Energy and Utilities)
Followers: 0

Kudos [?]: 59 [0], given: 15

### Show Tags

16 Sep 2011, 21:16
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
Math Forum Moderator
Joined: 20 Dec 2010
Posts: 2021
Followers: 161

Kudos [?]: 1703 [1] , given: 376

### Show Tags

16 Sep 2011, 21:50
1
KUDOS
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=AB

Ans: "E"
*************************************************************

Draw these on number line/graph.
_________________
Manager
Joined: 20 Nov 2010
Posts: 224
Followers: 4

Kudos [?]: 26 [0], given: 38

### Show Tags

17 Sep 2011, 23:19
Yup there are precisely 3 possible points
a) -5,25
b) -5,5
c) 15,25 which is the answer.
Hence E.
_________________

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
MGMAT 6 650 (51,31) on 31/8/11
MGMAT 1 670 (48,33) on 04/9/11
MGMAT 2 670 (47,34) on 07/9/11
MGMAT 3 680 (47,35) on 18/9/11
GMAT Prep1 680 ( 50, 31) on 10/11/11

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
CR notes
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
http://gmatclub.com/forum/gmat-prep-critical-reasoning-collection-106783.html
http://gmatclub.com/forum/how-to-get-6-0-awa-my-guide-64327.html
http://gmatclub.com/forum/how-to-get-6-0-awa-my-guide-64327.html?hilit=chineseburned

Intern
Status: Mission MBA
Joined: 02 Jul 2010
Posts: 45
Schools: ISB, IIMs
Followers: 0

Kudos [?]: 14 [0], given: 5

### Show Tags

22 Sep 2011, 18:13
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 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=AB

Ans: "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?
_________________

If you find my posts useful, Appreciate me with the kudos!! +1

Director
Status: Final Countdown
Joined: 17 Mar 2010
Posts: 563
Location: India
GPA: 3.82
WE: Account Management (Retail Banking)
Followers: 17

Kudos [?]: 278 [1] , given: 75

### Show Tags

30 Aug 2012, 21:23
1
KUDOS
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
_________________

" Make more efforts "
Press Kudos if you liked my post

Senior Manager
Joined: 15 Jun 2010
Posts: 368
Schools: IE'14, ISB'14, Kellogg'15
WE 1: 7 Yrs in Automobile (Commercial Vehicle industry)
Followers: 11

Kudos [?]: 368 [3] , given: 50

Re: ABCD is a parallelogram on xy rectangular coordinate plane [#permalink]

### Show Tags

31 Aug 2012, 01:34
3
KUDOS
3
This post was
BOOKMARKED
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 6861 times ]

_________________

Regards
SD
-----------------------------
Press Kudos if you like my post.
Debrief 610-540-580-710(Long Journey): http://gmatclub.com/forum/from-600-540-580-710-finally-achieved-in-4th-attempt-142456.html

Manager
Joined: 26 Jul 2011
Posts: 126
Location: India
WE: Marketing (Manufacturing)
Followers: 1

Kudos [?]: 109 [0], given: 15

Re: ABCD is a parallelogram on xy rectangular coordinate plane [#permalink]

### Show Tags

31 Aug 2012, 02:26
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
Intern
Joined: 28 Aug 2012
Posts: 46
Location: Austria
GMAT 1: 770 Q51 V42
Followers: 3

Kudos [?]: 43 [0], given: 3

Re: ABCD is a parallelogram on xy rectangular coordinate plane [#permalink]

### Show Tags

31 Aug 2012, 10:04
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.
Manager
Joined: 12 Mar 2012
Posts: 172
Location: India
Concentration: Technology, General Management
GMAT Date: 07-23-2012
WE: Programming (Telecommunications)
Followers: 0

Kudos [?]: 50 [0], given: 4

Re: ABCD is a parallelogram on xy rectangular coordinate plane [#permalink]

### Show Tags

01 Sep 2012, 04:51
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.
_________________

FOCUS..this is all I need!

Ku-Do!

VP
Status: Final Lap Up!!!
Affiliations: NYK Line
Joined: 21 Sep 2012
Posts: 1096
Location: India
GMAT 1: 410 Q35 V11
GMAT 2: 530 Q44 V20
GMAT 3: 630 Q45 V31
GPA: 3.84
WE: Engineering (Transportation)
Followers: 37

Kudos [?]: 526 [0], given: 70

Re: ABCD is a parallelogram on xy rectangular coordinate plane [#permalink]

### Show Tags

11 Nov 2012, 16:16
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......
Intern
Joined: 03 Oct 2012
Posts: 10
GMAT 1: 620 Q39 V38
GMAT 2: 700 Q49 V38
Followers: 0

Kudos [?]: 6 [0], given: 23

Re: ABCD is a parallelogram on xy rectangular coordinate plane [#permalink]

### Show Tags

05 Dec 2012, 23:26
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?
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13432
Followers: 575

Kudos [?]: 163 [0], given: 0

Re: ABCD is a parallelogram on xy rectangular coordinate plane [#permalink]

### Show Tags

29 Dec 2013, 13:50
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Intern
Joined: 05 Feb 2014
Posts: 48
Followers: 0

Kudos [?]: 14 [0], given: 49

Re: ABCD is a parallelogram on xy rectangular coordinate plane [#permalink]

### Show Tags

17 Jun 2014, 08:22
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.
Current Student
Status: Everyone is a leader. Just stop listening to others.
Joined: 22 Mar 2013
Posts: 992
Location: India
GPA: 3.51
WE: Information Technology (Computer Software)
Followers: 163

Kudos [?]: 1460 [1] , given: 227

Re: ABCD is a parallelogram on xy rectangular coordinate plane [#permalink]

### Show Tags

20 Jun 2014, 13:01
1
KUDOS
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.
_________________

Piyush K
-----------------------
Our greatest weakness lies in giving up. The most certain way to succeed is to try just one more time. ― Thomas A. Edison
Don't forget to press--> Kudos
My Articles: 1. WOULD: when to use? | 2. All GMATPrep RCs (New)
Tip: Before exam a week earlier don't forget to exhaust all gmatprep problems specially for "sentence correction".

Re: ABCD is a parallelogram on xy rectangular coordinate plane   [#permalink] 20 Jun 2014, 13:01

Go to page    1   2    Next  [ 21 posts ]

Similar topics Replies Last post
Similar
Topics:
3 In the rectangular coordinate system above, the area of parallelogram 3 06 Sep 2016, 19:01
4 Line A is drawn on a rectangular coordinate plane. If the coordinate p 4 29 Oct 2014, 08:18
33 Rectangle ABCD is constructed in the coordinate plane parall 15 11 Nov 2012, 15:58
66 In the coordinate plane, rectangular region R has vertices a 17 15 Nov 2010, 10:50
7 In the xy plane, the vertices of a triangle have coordinates 10 28 Oct 2010, 21:18
Display posts from previous: Sort by