10
QuizMultiple Choice

Centroid and Orthocenter

Question 10 • AZ-Geometry A (MA201)

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.

Question illustration
Answer
A
Point G cannot be a centroid because JG does not equal GE.
B
Point G cannot be a centroid because JG and GE are in the ratio 1:2.
C
Point G can be a centroid because GE and JG are in the ratio 2:1.
D
Point G can be a centroid because JG + GE = JE.