Answer:
Segment BF = 16
Step-by-step explanation:
The given theorem states that a line parallel to one side of a triangle divides the other two sides proportionately
The given theorem is the Triangle Proportionality Theorem
According to the theorem, given that segment DE is parallel to segment BC, we have;

Therefore;

Which gives;

Similarly, given that EF is parallel to AB, we get;

Therefore;

Which gives;

Therefore, the statement that can be proved using the given theorem is segment BF = 16.