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coordinates of the remaining vertex

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coordinates of the remaining vertex

by sanju09 » Fri Apr 10, 2009 4:47 am
For any triangle T in the x y-coordinate plane, the center of T is defined to be the point whose x-coordinate is the average (arithmetic mean) of the x-coordinates of the vertices of T and whose y-coordinate is the average of the y-coordinates of the vertices of T. If a certain triangle has vertices at the points (0, 0) and (6, 0) and center at the point (3, 2), what are the coordinates of the remaining vertex?

A. (3, 4)

B. (3, 6)

C. (4, 9)

D. (6, 4)

E. (9, 6)



OA B
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by moutar » Fri Apr 10, 2009 5:23 am
Call remaining vertex (a,b)

Average of x co-ords:

(0+6+a)/3 = 3
6+a = 9
a = 3

Average of y coords:

(0+0+b)/3 = 2
b/3 = 2
b = 6

So missing co-ord is (3,6) B.
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