SOLUTION: 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),(

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,

.
.
.
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).
.
.
.
G=(3,4),(3,-2),(0,6)
x:
y:
Set G cannot be the coordinates, they do not match the centroid coordinates(2,4).
.
.
.
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).
.
.
.
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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