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19 Feb 2012, 10:29
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Difficulty:
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Question Stats:
84% (00:53) correct
16%
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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)
A. (5,0)
B. (0,5)
C. (0, (136^(1/2))/2)
D. (3/2,0)
E. (1,5)
19 Feb 2012, 10:37
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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)
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).
Answer: B.
For more on this topic check Coordinate Geometry chapter of Math Book: math-coordinate-geometry-87652.html
Hope it helps.
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).
Answer: B.
For more on this topic check Coordinate Geometry chapter of Math Book: math-coordinate-geometry-87652.html
Hope it helps.
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