Question

Use ∆ABC to answer the question that follows.

Triangle ABC; point F lies on AB; point D lies on BC; point E lies on AC; AD, BD, and CF passes through point G; line AD passes through point H lying outside of triangle ABC; line segments BH and CH are dashed


Given: ∆ABC

Prove: The three medians of ∆ABC intersect at a common point.

When written in the correct order, the two-column proof below describes the statements and justifications for proving the three medians of a triangle all intersect in one point.


Statements

Justifications

Point F is a midpoint of Line segment