## (Math Quiz 10 – CT) In the coordinate plane Oxy for the points M(0; 4), N(–3; 2) and P(9; –3). The coordinates of the centroid G of the triangle MNP are:

• Question:

In the coordinate plane Oxy for the points M(0; 4), N(–3; 2) and P(9; –3). The coordinates of the centroid G of the triangle MNP are:

Reference explanation:

$$\left\{ {\begin{array}{*{20}{c}} {{x_G} = \frac{{{x_M} + {x_N} + {x_P}}}{3} = \frac{{0 + \left( { – 3} \right) + 9}}{3} = 2}\\ {{y_G} = \frac{{{y_M} + {y_N} + {y_P}}}{3} = \frac{{4 + 2 + \left( { – 3} \right)}}{3} = first} \end{array}} \right. \Rightarrow G\left( {2;1} \right)\,$$