📚 How to verify the centroid of a triangle

Given the following triangle:

a) Verify that C(4, 0) is the centroid of ΔOPQ.

b) Verify that the centroid divides each median in a 2:1 ratio.

Recall:

The centroid of a triangle is the point of intersection of the three medians.

Midpoint formula: (((x_1+x_2)/2,(y_1+y_2)/2) )