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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## Coordinate plane tagged by: BTGmoderatorRO ##### This topic has 1 member reply ## Coordinate plane 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? Master | Next Rank: 500 Posts Joined 20 Apr 2017 Posted: 228 messages Followed by: 3 members Upvotes: 32 GMAT Score: 770 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 • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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