Question

Use ∆ABC to answer the question that follows.



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
Point E is a midpoint of
Draw
Draw by Construction
Point G is the point of intersection between and Intersecting Lines Postulate
Draw by Construction
Point D is the point of intersection between and Intersecting Lines Postulate
Point H lies on such that ≅ by Construction