GRE Prep 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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
The vertices of square S have coordinates (-1,- 2), (-1,1), (2,1), an
[#permalink]
19 Jul 2021, 07:41
19 Jul 2021, 07:41
Expert Reply
1
Bookmarks
00:00
Question Stats:
66% (01:58) correct
33% (02:30) wrong based on 21 sessions
Hide Show timer Statistics
The vertices of square S have coordinates (-1,-2), (-1,1), (2,1), and (2,-2), respectively. What are the coordinates of the point where the diagonals of S intersect?
A. \((\frac{1}{2},\frac{1}{2})
\)
B. \((\frac{1}{2},-\frac{1}{2})
\)
C. \((\frac{3}{2},\frac{1}{2})\)
D. \((\frac{3}{2},-\frac{1}{2})
\)
E. \((\frac{\sqrt{3}}{2},\frac{1}{2})\)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. \((\frac{1}{2},\frac{1}{2})
\)
B. \((\frac{1}{2},-\frac{1}{2})
\)
C. \((\frac{3}{2},\frac{1}{2})\)
D. \((\frac{3}{2},-\frac{1}{2})
\)
E. \((\frac{\sqrt{3}}{2},\frac{1}{2})\)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
Re: The vertices of square S have coordinates (-1,- 2), (-1,1), (2,1), an
[#permalink]
19 Jul 2021, 10:32
19 Jul 2021, 10:32
1
Carcass wrote:
The vertices of square S have coordinates (-1,-2), (-1,1), (2,1), and (2,-2), respectively. What are the coordinates of the point where the diagonals of S intersect?
A. \((\frac{1}{2},\frac{1}{2})
\)
B. \((\frac{1}{2},-\frac{1}{2})
\)
C. \((\frac{3}{2},\frac{1}{2})\)
D. \((\frac{3}{2},-\frac{1}{2})
\)
E. \((\frac{\sqrt{3}}{2},\frac{1}{2})\)
A. \((\frac{1}{2},\frac{1}{2})
\)
B. \((\frac{1}{2},-\frac{1}{2})
\)
C. \((\frac{3}{2},\frac{1}{2})\)
D. \((\frac{3}{2},-\frac{1}{2})
\)
E. \((\frac{\sqrt{3}}{2},\frac{1}{2})\)
Remember: The diagonals of a square are equal and perpendicular
Just apply Mid-point formula between the end-points of either diagonal
(-1, 1) and (2, -2)
Mid-point = \(\frac{-1 + 2}{2}, \frac{1 - 2}{2} = \frac{1}{2}, \frac{-1}{2}\)
or (-1, -2) and (2, 1)
Mid-point = \(\frac{-1 + 2}{2}, \frac{-2 + 1}{2} = \frac{1}{2}, \frac{-1}{2}\)
Hence, option B
Attachments
The vertices of square S have coordinates.png [ 23.75 KiB | Viewed 1471 times ]
gmatclubot
Re: The vertices of square S have coordinates (-1,- 2), (-1,1), (2,1), an [#permalink]
19 Jul 2021, 10:32
Moderators:
