Find the centroid of the triangle whose vertices are the points \$(6, 3), (2, 2)\$ and \$(1, 4)\$.

A) \$(5, 3)\$

B) \$(1, 5)\$

C) \$(3, 3)\$

D) \$(4, 2)\$

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

A) \$(13, 12)\$

B) \$(12, 10)\$

C) \$(13, 6)\$

D) \$(5, 17)\$

Find the centroid of the triangle whose vertices are given by \$(12,10), (2, 1)\$ and \$(1, 1)\$.

A) \$(5, 4)\$

B) \$(3, 6)\$

C) \$(7, 1)\$

D) \$(5, 9)\$

Find the centroid of the triangle whose vertices are given by \$(6,1), (2, 1)\$ and \$(1, 1)\$.

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

B) \$(3 , 1)\$

C) \$(3, 4)\$

D) \$(1, 3)\$

Find the centroid of the triangle whose vertices are given by \$(6, 4), (3, 2)\$ and \$(3, 9)\$.

A) \$(4, 7)\$

B) \$(4, 5)\$

C) \$(7, 3)\$

D) \$(5, 1)\$