If the vertices of $\Delta ABC$ are $A(x_{1}, y_{1})$,$B(x_{2}, y_{2})$,and $C(x_{3}, y_{3})$,then the centroid of $\Delta ABC$ is........

  • A
    $\left(\frac{x_{1}+x_{2}+x_{3}}{3}, \frac{y_{1}+y_{2}+y_{3}}{3}\right)$
  • B
    $\left(\frac{\lambda x_{2}+x_{1}}{\lambda+1}, \frac{\lambda y_{2}+y_{1}}{\lambda+1}\right)$
  • C
    $\left(\frac{x_{1}(y_{2}-y_{3})}{2}, \frac{y_{1}(x_{2}-x_{3})}{2}\right)$
  • D
    $\left(\frac{x_{1}+y_{2}+y_{3}}{2}, \frac{y_{1}+x_{2}+x_{3}}{2}\right)$

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