Question

what are the coordinates of the centroid of $\triangle abc$? simplify any fractions. $(\square,\square)$

Explanation:

Step1: Identify vertex coordinates

From the graph: $A(-5, 0)$, $B(1, -2)$, $C(1, 5)$

Step2: Calculate centroid x-coordinate

Average the x-values:
$\frac{-5 + 1 + 1}{3} = \frac{-3}{3} = -1$

Step3: Calculate centroid y-coordinate

Average the y-values:
$\frac{0 + (-2) + 5}{3} = \frac{3}{3} = 1$

Answer:

$(-1, 1)$