Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

It is currently 18 Jul 2019, 20:51

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.

Close

Request Expert Reply

Confirm Cancel

In the figure above, what are the coordinates of the midpoint of PQ ?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 56257
In the figure above, what are the coordinates of the midpoint of PQ ?  [#permalink]

Show Tags

New post 19 Feb 2018, 22:58
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

85% (00:33) correct 15% (00:58) wrong based on 58 sessions

HideShow timer Statistics


Retired Moderator
User avatar
P
Joined: 07 Jan 2016
Posts: 1090
Location: India
GMAT 1: 710 Q49 V36
Reviews Badge
In the figure above, what are the coordinates of the midpoint of PQ ?  [#permalink]

Show Tags

New post 20 Feb 2018, 03:59
Bunuel wrote:
Image
In the figure above, what are the coordinates of the midpoint of PQ ?

(A) (x, y)

(B) (x, 0)

(C) (0, 0)

(D) (0, y)

(E) (-x, -y)

Attachment:
2018-02-20_0956.png



Mid point formula = (x1 + x2/2 , y1+y2/2 ) = x+x /2 , y + (-y) /2 = 2x/2 , 0 /2 = x, 0

(B) imo
Senior SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 3077
In the figure above, what are the coordinates of the midpoint of PQ ?  [#permalink]

Show Tags

New post 20 Feb 2018, 18:17
1
Bunuel wrote:
Image
In the figure above, what are the coordinates of the midpoint of PQ ?

(A) (x, y)

(B) (x, 0)

(C) (0, 0)

(D) (0, y)

(E) (-x, -y)

Attachment:
2018-02-20_0956.png

For a vertical line, x always has the same value, no matter what value y takes. The equation for such a line is \(x = a\), and \(a\) is the x-intercept (what x equals when y = 0).

Here, the equation for segment PQ is x = x. That is, x takes a's place on RHS. (RHS "x" could have been k, 2, Z, @, 15, etc.)

The midpoint of PQ lies on the line x = x. Its x-coordinate is \(x\).

Eliminate answers C, D, and E

The y-coordinate for the midpoint is 0. Use
Midpoint formula:
\(\frac{y_1+y_2}{2}=\frac{-y+y}{2}=\frac{0}{2}=0\)
OR
Use the rule about reflection over the x-axis.

Rule: If a point is reflected over the x-axis, then
\((x,y) -> (x, -y)\)

Those are the coordinates of these two points. They are reflected over the x-axis. The distance of y from the x-axis equals the distance of -y from the x-axis. The halfway point is the x-axis, whose equation is y = 0.

Midpoint coordinates are (x,0)

Answer B
_________________
SC Butler has resumed!
Get two SC questions to practice, whose links you can find by date, here.


Tell me, what is it you plan to do with your one wild and precious life? -- Mary Oliver
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2823
Re: In the figure above, what are the coordinates of the midpoint of PQ ?  [#permalink]

Show Tags

New post 22 Feb 2018, 09:16
Bunuel wrote:
Image
In the figure above, what are the coordinates of the midpoint of PQ ?

(A) (x, y)

(B) (x, 0)

(C) (0, 0)

(D) (0, y)

(E) (-x, -y)

Attachment:
2018-02-20_0956.png



Using the midpoint formula ((x1 + x2)/2 , (y1 + y2)/2) we have:

(x + x)/2, (y + (-y))/2 = (x, 0)

Answer: B
_________________

Jeffrey Miller

Head of GMAT Instruction

Jeff@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

GMAT Club Bot
Re: In the figure above, what are the coordinates of the midpoint of PQ ?   [#permalink] 22 Feb 2018, 09:16
Display posts from previous: Sort by

In the figure above, what are the coordinates of the midpoint of PQ ?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne