Question 150643: if (2,4) is the location of the centroid of a triangle. which CANNOT be the coordinates of the verticles 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)
Answer by Fombitz(32388)   (Show Source):
You can put this solution on YOUR website! The equation for the centroid of a triangle using the vertices coordinates is,
( , )=( , )
or the coordinates must make,
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Let's look at each case,
F= (0,0),(0,6),(6,6)
x:
y:
Set F can be the coordinates, they match the centroid coordinates(2,4).
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G=(3,4),(3,-2),(0,6)
x:
y:
Set G cannot be the coordinates, they do not match the centroid coordinates(2,4).
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Let's verify the other two.
H= (3,-2),(1,6),(2,8)
x:
y:
Set H can be the coordinates, they match the centroid coordinates(2,4).
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J= (2,0) ,(1,8),(3,4)
x:
y:
Set J can be the coordinates, they match the centroid coordinates(2,4).
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