Last visit was: 10 Jul 2025, 01:29 It is currently 10 Jul 2025, 01:29
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.
Close
Request Expert Reply
Confirm Cancel
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 10 July 2025
Posts: 102,612
Own Kudos:
Given Kudos: 98,068
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 102,612
Kudos: 739,974
 [23]
1
Kudos
Add Kudos
20
Bookmarks
Bookmark this Post
Most Helpful Reply
User avatar
nkin
Joined: 09 Jun 2018
Last visit: 25 Jan 2022
Posts: 170
Own Kudos:
496
 [21]
Given Kudos: 86
Location: United States
GMAT 1: 730 Q50 V39
GPA: 4
WE:Operations (Manufacturing)
Products:
16
Kudos
Add Kudos
5
Bookmarks
Bookmark this Post
User avatar
generis
User avatar
Senior SC Moderator
Joined: 22 May 2016
Last visit: 18 Jun 2022
Posts: 5,293
Own Kudos:
36,926
 [10]
Given Kudos: 9,464
Products:
Expert
Expert reply
Posts: 5,293
Kudos: 36,926
 [10]
6
Kudos
Add Kudos
3
Bookmarks
Bookmark this Post
General Discussion
User avatar
PKN
Joined: 01 Oct 2017
Last visit: 22 Jan 2025
Posts: 816
Own Kudos:
1,541
 [8]
Given Kudos: 41
Status:Learning stage
WE:Supply Chain Management (Energy)
Posts: 816
Kudos: 1,541
 [8]
6
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
Bunuel

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)


Attachment:
square.jpg

ABCD is a square as per the given geometrical figure. ("ABCE" may be a typo error)

AB || CD
Or, slope of line AB=Slope of line CD
Or, \(\frac{y-0}{x-(-6)}\)=\(\frac{2-(-4)}{4-0}\) (Co-ordinates of vertex B is (x,y) say)
Or,\(y=\frac{3x+18}{2}\)------------(1)
Since vertex B lies in \(Q_{2}\), so x<0 & y>0
Option D & E are eliminated.
Now, among options A, B, and C; option C satisfies the eq(1) above.

Therefore. Ans(C).
User avatar
TasneemHoda
Joined: 04 Apr 2018
Last visit: 07 Mar 2020
Posts: 10
Own Kudos:
4
 [3]
Given Kudos: 157
Location: India
GMAT 1: 730 Q50 V39
GPA: 4
GMAT 1: 730 Q50 V39
Posts: 10
Kudos: 4
 [3]
3
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Another Approach:

Since the distance between each of the points, A, B , C and D should be same..So we know that the distance between each of the points should be \sqrt{6^2+4^2}. And only one option (-2,6) gives us that distance.
avatar
devlin
Joined: 23 Aug 2017
Last visit: 11 Oct 2018
Posts: 19
Own Kudos:
Given Kudos: 5
Posts: 19
Kudos: 4
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

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)


Attachment:
square.jpg

We have a right triangle in the third quadrant which sides are 4 and 6, the hypotenuse is 4^2 + 6^2 = \sqrt{52}
So, if we would draw a triangle in the forth quadrant the hypotenuse would be \sqrt{52}, the side parallel to the Y axes sould be 6, just option B has this value.

Option B.
User avatar
yoannnesme
Joined: 17 May 2018
Last visit: 25 Nov 2022
Posts: 66
Own Kudos:
99
 [1]
Given Kudos: 26
Expert
Expert reply
Posts: 66
Kudos: 99
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
AB and DC are parallel, which means the slopes are identical. Also, distances AB = DC.

This means that the change in the x-coordinate and y-coordinate from D to C will be the same as the change from A to B.

x-coordinate of D increases by 4 to reach x-coordinate of C
y-coordinate of D increases by 6 to reach y-coordinate of C

so:

x-coordinate of A must increase by 4 to reach x-coordinate of B: -6+4=-2
y-coordinate of A must increase by 6 to reach y-coordinate of B: 0+6=6

Therefore the coordinates of B are (-2,6). Answer B.
User avatar
stne
Joined: 27 May 2012
Last visit: 08 Jul 2025
Posts: 1,767
Own Kudos:
1,835
 [1]
Given Kudos: 656
Posts: 1,767
Kudos: 1,835
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

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)


Attachment:
square.jpg


Dear Moderator ,
There seems to be a small typo here, Square ABCE has come up instead of square ABCD. Hope you will do the needful, Thank you.
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 10 July 2025
Posts: 102,612
Own Kudos:
Given Kudos: 98,068
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 102,612
Kudos: 739,974
Kudos
Add Kudos
Bookmarks
Bookmark this Post
stne
Bunuel

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)


Attachment:
square.jpg


Dear Moderator ,
There seems to be a small typo here, Square ABCE has come up instead of square ABCD. Hope you will do the needful, Thank you.

_________________
Edited. Thank you.
User avatar
CounterSniper
Joined: 20 Feb 2015
Last visit: 14 Apr 2023
Posts: 618
Own Kudos:
Given Kudos: 74
Concentration: Strategy, General Management
Posts: 618
Kudos: 795
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

In the figure above, ABCD 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)


Attachment:
square.jpg

Another one !!
since it is a square , the distance between any two points should be same .
distance between c and d = \sqrt{42}
so
\sqrt{42}= \sqrt{(4-x)^2+(2-y)^2}
C satisfies the equation for x and y
User avatar
ErikLewe
Joined: 28 Mar 2017
Last visit: 15 Nov 2019
Posts: 54
Own Kudos:
56
 [2]
Given Kudos: 66
Location: Sweden
Concentration: Finance, Statistics
Schools: Wharton '22
Schools: Wharton '22
Posts: 54
Kudos: 56
 [2]
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
You all give very fine mathematical solutions. Let me give you an alternative that took me 20s.
Measure distance from (0,0) to (-6, 0) with my pen. Compare it point B. Seems like x=-2 and Y=6. Check options: Answer is C.
PS questions are always drawn to scale unless stated otherwise.

+1 if you think this was useful.
avatar
jhueglin
Joined: 04 Jul 2018
Last visit: 12 Sep 2018
Posts: 6
Own Kudos:
1
 [1]
Given Kudos: 13
Posts: 6
Kudos: 1
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
ErikLewe
You all give very fine mathematical solutions. Let me give you an alternative that took me 20s.
Measure distance from (0,0) to (-6, 0) with my pen. Compare it point B. Seems like x=-2 and Y=6. Check options: Answer is C.
PS questions are always drawn to scale unless stated otherwise.

+1 if you think this was useful.


That solution should be absolutely fine. I read this approach in the Princeton review book. So it should be approved :-D .
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 37,365
Own Kudos:
Posts: 37,365
Kudos: 1,010
Kudos
Add Kudos
Bookmarks
Bookmark this Post
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.
Moderators:
Math Expert
102612 posts
PS Forum Moderator
683 posts