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# Points M(-5,2) and N(5,8) lie on the xy

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Intern
Joined: 13 Feb 2012
Posts: 20
WE: Other (Transportation)
Points M(-5,2) and N(5,8) lie on the xy [#permalink]

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19 Feb 2012, 10:29
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86% (01:34) correct 14% (01:31) wrong based on 173 sessions

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Points M(-5,2) and N(5,8) lie on the xy - plane. What is the midpoint of line segment MN?

I do not have the exact answers of the question but I know the OA.

So:

A. (5,0)
B. (0,5)
C. (0, (136^(1/2))/2)
D. (3/2,0)
E. (1,5)

[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 39721
Re: Points M(-5,2) and N(5,8) lie on the xy [#permalink]

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19 Feb 2012, 10:37
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KUDOS
Expert's post
Points M(-5,2) and N(5,8) lie on the xy - plane. What is the midpoint of line segment MN?
A. (5,0)
B. (0,5)
C. (0, (136^(1/2))/2)
D. (3/2,0)
E. (1,5)

The midpoint of a segment is exactly halfway between its endpoints and it's location can be found using the Midpoint Theorem, which states:
• The x-coordinate of the midpoint is the average of the x-coordinates of the two endpoints.
• Likewise, the y-coordinate is the average of the y-coordinates of the endpoints.

So, x=(-5+5)/2=0 and y=(2+8)/2=5 --> coordinates of the midpoint are (0, 5).

For more on this topic check Coordinate Geometry chapter of Math Book: math-coordinate-geometry-87652.html

Hope it helps.
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Intern
Joined: 13 Feb 2012
Posts: 20
WE: Other (Transportation)
Re: Points M(-5,2) and N(5,8) lie on the xy [#permalink]

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19 Feb 2012, 10:47
Thanks a lot! My solution was too complicated!
Senior Manager
Status: May The Force Be With Me (D-DAY 15 May 2012)
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Location: India
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Re: Points M(-5,2) and N(5,8) lie on the xy [#permalink]

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21 Feb 2012, 04:58
+1 B

I think if u visualize it you can see that the mid-point of a line will be the center of the line however it may be aligned in the x-y plane. Thus (x1 + x2)/2 , (y1+ y2)/2 is the mid-point

I think in school we learnt this as the mid-point formula
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Math Expert
Joined: 02 Sep 2009
Posts: 39721
Re: Points M(-5,2) and N(5,8) lie on the xy [#permalink]

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07 Sep 2013, 10:31
Bumping for review and further discussion.
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Re: Points M(-5,2) and N(5,8) lie on the xy [#permalink]

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16 Jun 2015, 00:45
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).

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Re: Points M(-5,2) and N(5,8) lie on the xy [#permalink]

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15 Sep 2016, 19:33
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.
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Re: Points M(-5,2) and N(5,8) lie on the xy   [#permalink] 15 Sep 2016, 19:33
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