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# Points M(-5,2) and N(5,8) lie on the xy - plane. What is the midpoint

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Intern
Joined: 13 Feb 2012
Posts: 14
WE: Other (Transportation)
Points M(-5,2) and N(5,8) lie on the xy - plane. What is the midpoint  [#permalink]

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19 Feb 2012, 09:29
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5% (low)

Question Stats:

81% (00:58) correct 19% (01:50) wrong based on 277 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?

A. (5,0)
B. (0,5)
C. (0, (136^(1/2))/2)
D. (3/2,0)
E. (1,5)
Math Expert
Joined: 02 Sep 2009
Posts: 64068
Re: Points M(-5,2) and N(5,8) lie on the xy - plane. What is the midpoint  [#permalink]

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19 Feb 2012, 09:37
5
1
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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##### General Discussion
Intern
Joined: 13 Feb 2012
Posts: 14
WE: Other (Transportation)
Re: Points M(-5,2) and N(5,8) lie on the xy - plane. What is the midpoint  [#permalink]

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19 Feb 2012, 09:47
Thanks a lot! My solution was too complicated!
Manager
Status: May The Force Be With Me (D-DAY 15 May 2012)
Joined: 06 Jan 2012
Posts: 189
Location: India
Concentration: General Management, Entrepreneurship
Re: Points M(-5,2) and N(5,8) lie on the xy - plane. What is the midpoint  [#permalink]

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21 Feb 2012, 03:58
+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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Re: Points M(-5,2) and N(5,8) lie on the xy - plane. What is the midpoint  [#permalink]

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15 Nov 2018, 06:31
tom09b wrote:
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)

Mid point for x is $$\frac{-5 + 5}{2} = 0$$,

Among the given options only (B) has x as 0, thus answer must be (B)
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Abhishek....

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Re: Points M(-5,2) and N(5,8) lie on the xy - plane. What is the midpoint   [#permalink] 15 Nov 2018, 06:31