It is currently 20 Jan 2019, 17:38
My Tests

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

GRE Math Challenge#116-In the figure above, ABCE is a square

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4855
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 98

Kudos [?]: 1715 [0], given: 397

CAT Tests
GRE Math Challenge#116-In the figure above, ABCE is a square [#permalink] New post 15 May 2015, 11:57
Expert's post
00:00

Question Stats:

87% (02:06) correct 12% (00:00) wrong based on 8 sessions
Attachment:
square.jpg
square.jpg [ 12.91 KiB | Viewed 702 times ]


In the figure above, ABCE is a square. What are the coordinates of point B?

(A) (-4,2)
(B) (-2,4)
(C) (-2,6)
(D) (4, -6)
(E) (6,-2)
[Reveal] Spoiler: OA

_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Director
Director
Joined: 20 Apr 2016
Posts: 787
Followers: 7

Kudos [?]: 559 [0], given: 101

Re: GRE Math Challenge#116-In the figure above, ABCE is a square [#permalink] New post 19 Dec 2017, 10:55
sandy wrote:
Image


In the figure above, ABCE is a square. What are the coordinates of point B?

(A) (-4,2)
(B) (-2,4)
(C) (-2,6)
(D) (4, -6)
(E) (6,-2)


Here the distance between the two coordinates (-6,0) and (0,-4) is given by

= \(\sqrt{{(-6-0)^2 + (0+4)^2}}\) =\(\sqrt{52}\)

Since the figure is a square all the distance between the each coordinates = \(\sqrt{52}\)

Let the co-ordinate of B = (x,y)

Now the distance between the coordinate (-6, 0) and (x, y) = \(\sqrt{52}\)

or \(\sqrt{{(x+6)^2 + (y-0)^2}}\) = \(\sqrt{52}\)

Now looking at the values only the above equation satisfy only when x= -2 and y= 6.

Hence the co-ordinate of B is (-2,6)
_________________

If you found this post useful, please let me know by pressing the Kudos Button

Manager
Manager
Joined: 27 Sep 2017
Posts: 112
Followers: 1

Kudos [?]: 29 [0], given: 4

Re: GRE Math Challenge#116-In the figure above, ABCE is a square [#permalink] New post 19 Dec 2017, 17:13
pranab01 wrote:
sandy wrote:
Image


In the figure above, ABCE is a square. What are the coordinates of point B?

(A) (-4,2)
(B) (-2,4)
(C) (-2,6)
(D) (4, -6)
(E) (6,-2)


Here the distance between the two coordinates (-6,0) and (0,-4) is given by

= \(\sqrt{{(-6-0)^2 + (0+4)^2}}\) =\(\sqrt{52}\)

Since the figure is a square all the distance between the each coordinates = \(\sqrt{52}\)

Let the co-ordinate of B = (x,y)

Now the distance between the coordinate (-6, 0) and (x, y) = \(\sqrt{52}\)

or \(\sqrt{{(x+6)^2 + (y-0)^2}}\) = \(\sqrt{52}\)

Now looking at the values only the above equation satisfy only when x= -2 and y= 6.

Hence the co-ordinate of B is (-2,6)



Well I can NOT see the pic though
Intern
Intern
Joined: 16 Nov 2017
Posts: 1
Followers: 0

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

Re: GRE Math Challenge#116-In the figure above, ABCE is a square [#permalink] New post 20 Dec 2017, 00:36
images are not loading. i have opened in chome and explorer but didnt work out
Director
Director
Joined: 20 Apr 2016
Posts: 787
Followers: 7

Kudos [?]: 559 [0], given: 101

Re: GRE Math Challenge#116-In the figure above, ABCE is a square [#permalink] New post 20 Dec 2017, 20:02
Is the diagram visible? and also open up the "spoiler"
_________________

If you found this post useful, please let me know by pressing the Kudos Button

Intern
Intern
Joined: 21 Nov 2017
Posts: 33
Followers: 0

Kudos [?]: 10 [0], given: 0

Re: GRE Math Challenge#116-In the figure above, ABCE is a square [#permalink] New post 02 May 2018, 17:52
Let M be the center of square ABCD. Then, M is the midpoint of both AC and BD.
We can find coordinates of M as follows:
. M is midpoint of AC --> x(M) = (-6+4)/2; y(M) = (0+2)/2 or M(-1,1)
. M is midpoint of BD --> x(B) = (2xM - xD) = -2-0 = -2; y(B) = (2yM - yD) = 2-(-4) = 6
Finally, we get B(-2,6) --> C
Intern
Intern
Joined: 27 Oct 2018
Posts: 49
Followers: 0

Kudos [?]: 12 [0], given: 27

Re: GRE Math Challenge#116-In the figure above, ABCE is a square [#permalink] New post 02 Nov 2018, 10:43
Checking options is the best way out
Senior Manager
Senior Manager
Joined: 09 Nov 2018
Posts: 482
Followers: 0

Kudos [?]: 16 [0], given: 1

CAT Tests
Re: GRE Math Challenge#116-In the figure above, ABCE is a square [#permalink] New post 08 Jan 2019, 19:37
By visualizing options and coordinates in diagram answer is C.
Senior Manager
Senior Manager
Joined: 09 Nov 2018
Posts: 482
Followers: 0

Kudos [?]: 16 [0], given: 1

CAT Tests
Re: GRE Math Challenge#116-In the figure above, ABCE is a square [#permalink] New post 08 Jan 2019, 19:50
grefox wrote:
Let M be the center of square ABCD. Then, M is the midpoint of both AC and BD.
We can find coordinates of M as follows:
. M is midpoint of AC --> x(M) = (-6+4)/2; y(M) = (0+2)/2 or M(-1,1)
. M is midpoint of BD --> x(B) = (2xM - xD) = -2-0 = -2; y(B) = (2yM - yD) = 2-(-4) = 6
Finally, we get B(-2,6) --> C


Different view, and great.
Re: GRE Math Challenge#116-In the figure above, ABCE is a square   [#permalink] 08 Jan 2019, 19:50
Display posts from previous: Sort by

GRE Math Challenge#116-In the figure above, ABCE is a square

  Question banks Downloads My Bookmarks Reviews Important topics  


GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.