Find the centroid of the triangle whose vertices are the points \$(8, 4), (1,3)\$ and \$(3,–1)\$.

A) \$(5, 3)\$

B) \$(1, 5)\$

C) \$(4, 3)\$

D) \$(4, 2)\$

If a triangle has its centroid at \$(4,3)\$ and two of its vertices are \$(2,–1)\$ and \$(7,8)\$,find the third vertex.

A) \$(3, 2)\$

B) \$(2, 1)\$

C) \$(3, 6)\$

D) \$(5, 7)\$

Find the centroid of the triangle whose vertices are given by \$(1,10), (–7, 2)\$ and \$(–3, 7)\$.

A) \$(–3, \frac{19}{3})\$

B) \$(\frac{-1}{32}, 19)\$

C) \$(-6, \frac{29}{3})\$

D) \$(-6, \frac{17}{3})\$

Find the centroid of the triangle whose vertices are given by \$(–1, –3), (2, 1)\$ and \$(2, –4)\$.

A) \$(1, -2)\$

B) \$(2, -3)\$

C) \$(3, -4)\$

D) \$(1, 3)\$

Find the centroid of the triangle whose vertices are given by \$(1, 1), (2,3)\$ and \$(–2, 2)\$.

A) \$(\frac{1}{3}, 2)\$

B) \$(\frac{2}{3}, 5)\$

C) \$(\frac{7}{3}, 3)\$

D) \$(\frac{5}{3}, 2)\$