NEW HERE? LEARN MORE
closeclose
Last visit was: 24 Apr 2024, 22:37 It is currently 24 Apr 2024, 22:37
Decision Tracker
My Rewards
New posts
New comers' posts

Close
GMAT 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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

Which of the following points is symmetric with y=x at (-1,-2)?

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
MathRevolution
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 10161
Own Kudos [?]: 16594 [9]
Given Kudos: 4
GMAT 1: 760 Q51 V42
GPA: 3.82
Send PM
Which of the following points is symmetric with y=x at (-1,-2)? [#permalink] New post   24 Aug 2016, 19:19
9
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

55% (hard)

Question Stats:

54% (01:15) correct 46% (01:31) wrong based on 107 sessions
Hide Show timer Statistics
Which of the following points is symmetric with y=x at (-1,-2)?
A. (-2,-1)
B. (-2,1)
C. (2,1)
D. (-1,-2)
E. (-1,2)

*An answer will be posted in 2 days.
ShowHide Answer
Official Answer
A
User avatar
Senthil1981
Manager
Manager
Joined: 23 Apr 2015
Posts: 234
Own Kudos [?]: 510 [0]
Given Kudos: 36
Location: United States
Concentration: General Management, International Business
Schools: Booth PT '19 Ross Weekend"19
WE:Engineering (Consulting)
Send PM
Re: Which of the following points is symmetric with y=x at (-1,-2)? [#permalink] New post   24 Aug 2016, 20:52
MathRevolution wrote:
Which of the following points is symmetric with y=x at (-1,-2)?
A. (-2,-1)
B. (-2,1)
C. (2,1)
D. (-1,-2)
E. (-1,2)

*An answer will be posted in 2 days.


the point symmetric to y=x will be equidistant from line to the point -1,-2 and same distance . From the graph, the symmetric point is (-2,-1)
Answer is A
Attachments

Untitled.png
Untitled.png [ 4.19 KiB | Viewed 2747 times ]

User avatar
L
MathRevolution
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 10161
Own Kudos [?]: 16594 [1]
Given Kudos: 4
GMAT 1: 760 Q51 V42
GPA: 3.82
Send PM
Re: Which of the following points is symmetric with y=x at (-1,-2)? [#permalink] New post   27 Aug 2016, 05:22
1
Bookmarks
Expert Reply
If the point is symmetric to y=x, we can put y-value to x coordinates and put x-value into y coordinates. Then we get (-1, -2) --> (-2, -1). Hence, the correct answer is A.
User avatar
Donnie84
Manager
Manager
Joined: 04 Jan 2014
Posts: 144
Own Kudos [?]: 131 [0]
Given Kudos: 15
GMAT 1: 660 Q48 V32
GMAT 2: 630 Q48 V28
GMAT 3: 680 Q48 V35
Send PM
Re: Which of the following points is symmetric with y=x at (-1,-2)? [#permalink] New post   27 Aug 2016, 15:31
We can think of line y = x as a mirror. Any point (x,y) becomes (y,x) when it is "reflected" over the mirror. Reverse the coordinate and keep the same sign. These two points will be symmetric to the line y = x.

(-1,-2) would become (-2,-1).
Answer (A).

Additional information:

If the line had been y = -x, it will still act as a mirror but any point (x,y) becomes (-y,-x) when it is "reflected" over the mirror. Reverse the coordinate and flip the sign. These two points will also be symmetric to the line y = -x.

(-1,-2) would become (2,1).
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32658
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: Which of the following points is symmetric with y=x at (-1,-2)? [#permalink] New post   19 Sep 2023, 22:14
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
GMAT Club Bot
gmatclubot
Re: Which of the following points is symmetric with y=x at (-1,-2)? [#permalink]
19 Sep 2023, 22:14
Moderators:
Bunuel
Math Expert
92900 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions