Triangle H J K is shown. Lines are drawn from each point to the opposite side and intersect at point G to form line segments H C, J E, and K D. In the diagram, JG = 5 cm and GE = 10 cm. Based on this information, can G be a centroid of triangle HJK?

Point G cannot be a centroid because JG does not equal GE.
Point G cannot be a centroid because JG and GE are in the ratio 1:2.
Point G can be a centroid because GE and JG are in the ratio 2:1.
Point G can be a centroid because JG + GE = JE.