Which point is symmetric with point (-5,-2) about the line : Quant Question Archive [LOCKED]
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 18 Jan 2017, 13:48

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Which point is symmetric with point (-5,-2) about the line

 post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
Intern
Joined: 23 Dec 2005
Posts: 18
Followers: 0

Kudos [?]: 2 [0], given: 0

Which point is symmetric with point (-5,-2) about the line [#permalink]

### Show Tags

28 Mar 2006, 07:18
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Which point is symmetric with point (-5,-2) about the line represented by y=x?

How to approach problems like this ?
Manager
Joined: 21 Mar 2006
Posts: 131
Followers: 1

Kudos [?]: 13 [0], given: 0

### Show Tags

28 Mar 2006, 16:06
I would say draw a graph y=x is a simple diagonal line. What point would be symmetric to (-5, -2). It obviously has to be a point that is the same for x as for y...

I am assuming that it is asking how it is symmetric to the line so then i would say the answer is (5,2) because it is symmetric to the y=x line on the opposite side. draw it out i think it might help
_________________

A.P.

SVP
Joined: 24 Sep 2005
Posts: 1890
Followers: 19

Kudos [?]: 292 [0], given: 0

Re: Symmetric point about a line [#permalink]

### Show Tags

28 Mar 2006, 21:16
Ethan wrote:
Which point is symmetric with point (-5,-2) about the line represented by y=x?

How to approach problems like this ?

let the symmetric point be (a,b)
We have the midpoint of (a,b) and ( -5,-2) be on the line y=x
---> 1/2( -5+a) = 1/2 ( -2+b) --> a-b= 3 (1)

We also have the slope of the line connecting (-5,-2) and (a,b) be -1 ( since this line is perpendicular to the line y=x)
--> (-2-b)/ (-5- a) = -1 ---> -2-b= 5+ a --> a+b= -7 (2)

Solving (1) and (2) , get a= -2, b= -5
--> the sym point is (-2,-5)
Re: Symmetric point about a line   [#permalink] 28 Mar 2006, 21:16
Display posts from previous: Sort by

# Which point is symmetric with point (-5,-2) about the line

 post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group and phpBB SEO Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.