orthocenter 2

Below is Triangle ABC with midpoints on line AB, BC, CA. Go through the tasks at the bottom and answer the questions along the way.

The median is a line segment joining a vertex to the midpoint of the opposing side. If we were to create the three medians of triangle ABC would they all intersect at the same point? Why or Why not? See if you are right Go to the line segment icon and connect the midpoint to the vertex of the opposite side. Do the medians intersect at the same point? What if we were to drag one of the points, changing the shape of the triangle? What happens to the medians?