• NEW! FREE Beat The GMAT Quizzes
Hundreds of Questions Highly Detailed Reporting Expert Explanations
• 7 CATs FREE!
If you earn 100 Forum Points

Engage in the Beat The GMAT forums to earn
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. Junior | Next Rank: 30 Posts Joined 07 May 2018 Posted: 25 messages Target GMAT Score: 730 GMAT Score: 610 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 • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE 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 • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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

• FREE GMAT Exam
Know how you'd score today for \$0

Available with Beat the GMAT members only code

• Magoosh
Study with Magoosh GMAT prep

Available with Beat the GMAT members only code

Top First Responders*

1 Jay@ManhattanReview 77 first replies
2 Brent@GMATPrepNow 66 first replies
3 GMATGuruNY 33 first replies
4 Ian Stewart 24 first replies
5 Scott@TargetTestPrep 16 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

Most Active Experts

1 Scott@TargetTestPrep

Target Test Prep

200 posts
2 Max@Math Revolution

Math Revolution

94 posts
3 Brent@GMATPrepNow

GMAT Prep Now Teacher

92 posts
4 Jay@ManhattanReview

Manhattan Review

83 posts
5 GMATGuruNY

The Princeton Review Teacher

57 posts
See More Top Beat The GMAT Experts