Question

Match the centroid of the triangle whose vertices are given on the left.

• A. (3,3)
• B. (2, 2)
• C. (3,2)
• D. (2,3)

Answer 1

Coordinates of the centroid of a triangle whose vertices are $(x_1,y_1)$, $(x_2,y_2)$ and $(x_3,y_3)$ are given by $(\frac{x_1+x_2+x_3}{3},\frac{y_1+y_2+y_3}{3})$
Hence, the centroid of the triangle with verices:
(2,4), (4,2), (3,3) is (3,3)
(1,-1), (2,2), (3,5) is (2,2)
(4,1), (-2,1), (7,4) is (3,2)
(2,-2), (3,7), (1,4) is (2,3)