• Economist Test Prep
    Free Trial & Practice Exam
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist Test Prep
  • Target Test Prep
    5-Day Free Trial
    5-day free, full-access trial TTP Quant

    Available with Beat the GMAT members only code

    MORE DETAILS
    Target Test Prep
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

    MORE DETAILS
    Magoosh
  • EMPOWERgmat Slider
    1 Hour Free
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    EMPOWERgmat Slider
  • The Princeton Review
    FREE GMAT Exam
    Know how you'd score today for $0

    Available with Beat the GMAT members only code

    MORE DETAILS
    The Princeton Review
  • Veritas Prep
    Free Veritas GMAT Class
    Experience Lesson 1 Live Free

    Available with Beat the GMAT members only code

    MORE DETAILS
    Veritas Prep
  • Kaplan Test Prep
    Free Practice Test & Review
    How would you score if you took the GMAT

    Available with Beat the GMAT members only code

    MORE DETAILS
    Kaplan Test Prep
  • e-gmat Exclusive Offer
    Get 300+ Practice Questions
    25 Video lessons and 6 Webinars for FREE

    Available with Beat the GMAT members only code

    MORE DETAILS
    e-gmat Exclusive Offer
  • Varsity Tutors
    Award-winning private GMAT tutoring
    Register now and save up to $200

    Available with Beat the GMAT members only code

    MORE DETAILS
    Varsity Tutors
  • PrepScholar GMAT
    5 Day FREE Trial
    Study Smarter, Not Harder

    Available with Beat the GMAT members only code

    MORE DETAILS
    PrepScholar GMAT

Coordinate plane

This topic has 1 member reply

Coordinate plane

Post
On the coordinate plane (6, 2) and (0, 6) are the endpoints of the diagonal of a square. What is the distance between point (0, 0) and the closest vertex of the square?

(A) 1/sqrt (2)
(B) 1
(C) sqrt (2)
(D) sqrt (3)
(E) 2*sqrt (3)

OA is C

Are we supposed to draw a graphical representation for this?

  • +1 Upvote Post
  • Quote
  • Flag
Master | Next Rank: 500 Posts
Joined
20 Apr 2017
Posted:
228 messages
Followed by:
3 members
Upvotes:
32
GMAT Score:
770
Post
On the coordinate plane (6, 2) and (0, 6) are the endpoints of the diagonal of a square. What is the distance between point (0, 0) and the closest vertex of the square?

The slope of the diagonal is 4/-6, which reduces to -2/3. So the midpoint of this diagonal is (3,4). This is the point at which both diagonals will meet.
The slope of a perpendicular line will be the negative reciprocal, so 3/2. So that will be the slope of the other diagonal, which intersects this midpoint and the other two points of the square.
So the point of the square closest to the (0,0) mark will be at (1,1).

Then we can use the Pythagorean theorem to calculate the distance as $$\sqrt{2}$$

_________________
Elias Latour
Verbal Specialist @ ApexGMAT
blog.apexgmat.com
+1 (646) 736-7622

  • +1 Upvote Post
  • Quote
  • Flag

Top First Responders*

1 Jay@ManhattanReview 81 first replies
2 Brent@GMATPrepNow 67 first replies
3 fskilnik 54 first replies
4 GMATGuruNY 37 first replies
5 Rich.C@EMPOWERgma... 13 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

Most Active Experts

1 image description fskilnik

GMAT Teacher

201 posts
2 image description Brent@GMATPrepNow

GMAT Prep Now Teacher

155 posts
3 image description Scott@TargetTestPrep

Target Test Prep

105 posts
4 image description Jay@ManhattanReview

Manhattan Review

97 posts
5 image description GMATGuruNY

The Princeton Review Teacher

91 posts
See More Top Beat The GMAT Experts