Question

WILL GIVE MEDAL

Use the image shown below to answer the question that follows.
Triangle ABC with medians CF, AD, and BE. Median AD is extended to point H. A segment joins points B and H and another segment joins points H and C. Point G is the intersection of segments CF, AD, and BE.
The two-column proof below proves the following theorem: The three medians of a triangle all intersect in one point.
Statements

Reasons

Point F is a midpoint of segment AB

Point E is a midpoint of segment AC

Draw segment BE

Draw segment FC


By Construction

Point G is the point of inter