Question

Use the image shown below to answer the question that follows.

Answer 1

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

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
Point H lies on such that
By Construction
and
Midsegment Theorem and Substitution
BCGH is a parallelogram
Properties of a Parallelogram (opposite sides are parallel)
Properties of a Parallelogram (diagonals bisect each other)

Which reason is missing from the proof? (5 points)
1) By Construction
2) Properties of a Parallelogram
3) Midsegment Theorem
4) Intersecting Lines Postulate