It is currently 06 Jul 2020, 19:18
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.

If ABCD is a square, what are the coordinates of C?

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Founder
Founder
User avatar
Joined: 18 Apr 2015
Posts: 11958
Followers: 252

Kudos [?]: 2983 [0], given: 11204

CAT Tests
If ABCD is a square, what are the coordinates of C? [#permalink] New post 30 Nov 2018, 18:04
Expert's post
00:00

Question Stats:

80% (01:25) correct 19% (01:21) wrong based on 46 sessions
If ABCD is a square, what are the coordinates of C?

Attachment:
GRE exam - If ABCD is a square, what are the coordinates of C .jpg
GRE exam - If ABCD is a square, what are the coordinates of C .jpg [ 12.34 KiB | Viewed 4102 times ]


A. \((\sqrt{3}, \sqrt{3} )\)

B. \((\sqrt{3}, 1+ \sqrt{3})\)

C. \((2 \sqrt{3}, \sqrt{3} )\)

D. \(( 1+ \sqrt{3}, \sqrt{3} )\)

E. \((\sqrt{3}, 2 \sqrt{3} )\)
[Reveal] Spoiler: OA

_________________

Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos
GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests.

1 KUDOS received
Intern
Intern
Joined: 05 Dec 2018
Posts: 9
Followers: 0

Kudos [?]: 2 [1] , given: 0

Re: If ABCD is a square, what are the coordinates of C? [#permalink] New post 06 Dec 2018, 04:31
1
This post received
KUDOS
It's 30-60-90 triangle
The ratio of sides will be 1:\sqrt{3}:2
So if we take origin O
OA=1
OB= \sqrt{3}
AD=2
Draw a perpendicular from C onto x-axis, and take the intersection point E
Again we have a 30-60-90 triangle where
EC=\sqrt{3}
ED=1
Hence
OE= 1 + \sqrt{3}
EC=\sqrt{3}
Coordinates of C are ( 1+ \sqrt{3} , \sqrt{3} )
It's D
1 KUDOS received
Manager
Manager
Joined: 04 Apr 2020
Posts: 91
Followers: 0

Kudos [?]: 33 [1] , given: 22

Re: If ABCD is a square, what are the coordinates of C? [#permalink] New post 30 Apr 2020, 09:24
1
This post received
KUDOS
Since the side opposite 30 is length 1, so the hypotenuse is twice the side opposite to 30 which is 1*2 = 2.
And the side opposite 60 is root(3)/2 times the hypotenuse so 2 * root(3) / 2 = root(3).

Now, we know the square is titled at an angle so the point C is slightly to the right of bottom tip of the square. So X coordinate is greater than root(3).
Eliminate A, B and D which have root(3) as X-coordinate.

We need to check how far the X coordinate is. If the square were tilted at 45 degrees on X axis, then left half and the right half would be equivalent and the X coordinate would be twice root(3). But we know the square is tilted at a less than 45 degrees on the X axis (30 degrees given), so X coordinate is greater than root(3) and lesser than 2root(3). So eliminate option C.

D is the answer (1+root(3)).
Manager
Manager
User avatar
Joined: 10 Feb 2020
Posts: 191
Followers: 1

Kudos [?]: 46 [0], given: 111

Re: If ABCD is a square, what are the coordinates of C? [#permalink] New post 14 Jun 2020, 02:56
Can someone explain by drawing diagram plz?
_________________

Ever Tried? Ever Failed? No Matter. Try Again. Fail Again. Fail Better!!

Re: If ABCD is a square, what are the coordinates of C?   [#permalink] 14 Jun 2020, 02:56
Display posts from previous: Sort by

If ABCD is a square, what are the coordinates of C?

  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®.