We will use geometers sketchpad to construct the centroid of a triangle. We begin by constructing a triangle and constructing the midpoint of the 3 sides.We then construct line segements from each of the vertices of the triangle to the midpoint of the opposite side. This gives us the following picture:

Click **HERE**
to open a GSP file to see an animation of the centroid as one
vertex of the triangle is moved along a line.