Take the basic concept of a parallelogram...
=> Diagonals of a ||gm bisect each other...
hence, mid point of both the diagonal is equal.
=> For x cordinate of mid-point ,
(X + m ) / 2 = (1 + 4)/2
=> For ycordinate of mid-point ,
(Y+ n) / 2 = (1 + 4)/2
Earlier, trying to solve this question in the stipulated time, I had thought of the long solution only...taking the slope of parallel rows to be equal....that would involve solving the equations...
but as you asked for a short solution... I thought a bit..and it striked.
BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course
Redeem
Featured Course
Target Test Prep GMAT OnDemand
Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.
- 715+ score guarantee — highest in the industry (99th percentile)
- 52 chapters · 1,500+ lessons · 4,000+ practice questions
- 400 hours of video · 1,500+ instructor-led HD smartboard lessons
- 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
- 24/7 live support + weekly Zoom office hours with GMAT instructors
- TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
- 1,200+ flashcards + AI-powered study assistant & daily calendar
- OnDemand, LiveTeach & GMAT Bootcamp formats available
- Also: GRE, SAT Math & Executive Assessment courses
- MBA Admissions Consulting now available
- 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
- 200,000+ students served
- 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★
5.0
(559 reviews)
130-pt guarantee
$0 to start
then $127/mo
crazy coordinates
Source: Beat The GMAT — Problem Solving |
ANSWER : E
Diagonals of a parallelogram bisect eachother
Hence midpoint of a diagonal is 4+1/2 , 4+1/2 =(2.5, 2.5)
let A(x,y)
therefore, x+m/2 = 2.5 i.e x = 5-m
similarly for y=5-n
I hope this explains.
Diagonals of a parallelogram bisect eachother
Hence midpoint of a diagonal is 4+1/2 , 4+1/2 =(2.5, 2.5)
let A(x,y)
therefore, x+m/2 = 2.5 i.e x = 5-m
similarly for y=5-n
I hope this explains.
my approach is
since it's a parallelogram the length of line bet (m,n) and (4,4) is equal to length of line between (1,1) and A
so let A's coordinate be (x,y)
so x-1 = 4-m => x=4-m
y-1 = 4-n => y=4-n
since it's a parallelogram the length of line bet (m,n) and (4,4) is equal to length of line between (1,1) and A
so let A's coordinate be (x,y)
so x-1 = 4-m => x=4-m
y-1 = 4-n => y=4-n
