Show that the segments joining vertices to the centroid of opposite faces of a tetrahedron are concurren Hence find the position vector of the point of concurrence.

Prove that the lines joining the vertices of a tetrahedron to the centroids of opposite faces are concurrent.

Prove that the lines joining the vertices of a tetrahedron to the centroids of opposite faces are concurrent.

The lines joining the vertices of a tetrahedron to the centroids of opposite faces are concurrent.

The lines joining the vertices of a tetrahedron to the centroids of opposite faces are concurrent.

The lines joining the vertices of a tetrahedron to the centroids of opposite faces are concurrent.

Prove that the lines joining the vertices of a tetrahedron to the centroids of the opposite faces are concurrent.

i. Show that the lines joining the vertices of a tetrahedron to the centroids of opposite faces are concurrent. ii. Show that the joins of the midpoints of the opposite edges of a tetrahedron intersect and bisect each other.