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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 ## Three of the four vertices of a rectangle in the xy tagged by: BTGmoderatorLU ##### This topic has 1 member reply ### Top Member ## Three of the four vertices of a rectangle in the xy ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Source: Manhattan Prep Three of the four vertices of a rectangle in the xy-coordinate plane are (-5,1), (-4,4), and (8,0). What is the fourth vertex? A. (-4.5, 2.5) B. (-4, 5) C. (6, -2) D. (7, -3) E. (10, 1) The OA is D. ### Top Member Junior | Next Rank: 30 Posts Joined 07 May 2018 Posted: 25 messages Top Reply Please refer to the attached figure. Since the figure is rectangle. The lines BD and DE are perpendicular to each other (Point E is the unknown vertex) Product of slopes of 2 lines perpendicular to each other is -1 from the figure we have slope of BD = (0 - 4)/(8-(-4)) = -4/12 = -1/3 Hence, Slope of line DE will be = (-1)/(-1/3) = 3 From the figure, we can see that x-coordinate of unknown vertex is positive while y-coordinate is negative. Hence, A, B and E are out Plugging in C and D to check with which vertex we can obtain slope of 3: C : (-2-0)/(6-8) = -2/-2 = 1 D: (-3-0)(7-8) = 3 Hence, D is the correct answer • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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