Question

what are the coordinates of the centroid of δpqr? simplify any fractions.

Explanation:

Step1: Find coordinates of vertices

From the graph, \( P(-7, 6) \), \( Q(4, 1) \), \( R(3, 8) \).

Step2: Use centroid formula

The centroid \( (x, y) \) of a triangle with vertices \( (x_1, y_1) \), \( (x_2, y_2) \), \( (x_3, y_3) \) is given by \( x=\frac{x_1 + x_2 + x_3}{3} \), \( y=\frac{y_1 + y_2 + y_3}{3} \).

For \( x \)-coordinate:
\( x=\frac{-7 + 4 + 3}{3}=\frac{0}{3}=0 \)

For \( y \)-coordinate:
\( y=\frac{6 + 1 + 8}{3}=\frac{15}{3}=5 \)

Answer:

\( (0, 5) \)