Question 389498: If (2,4) is the location of the centroid of a triangle, which CANNOT be the coordinates of the vertices of the triangle?
F (0,0), (0,6), (6,6)
G (3,4), (3,-2), (0,6)
H (3,-2), (1,6), (2,8)
J (2,0), (1,8), (3,4)
i don't understand what i should do first to even try and solve it.
Answer by richard1234(7193)   (Show Source):
You can put this solution on YOUR website! The centroid is basically the "average" of all the points in a triangle, similar to the center of mass of an object. Since the points all have equal density, the centroid of a triangle can be computed by taking the average of all the x-coordinates and the average of the y-coordinates.
Checking all possible answers, G cannot be the vertices, since the average of the y-coordinates is (4-2+6)/3 = 8/3, which is not equal to 4.
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