Question

question 1
which logical statement can best be directly deduced from the image below given b is the midpoint?
if b is the midpoint, then ab+bc=ac
if b is the midpoint, then ac is a segment
if b is the midpoint, then ab=bc
if b is the midpoint, then ab=2bc

Explanation:

A midpoint of a segment divides it into two equal parts. The statement "AB+BC=AC" is true for any collinear points, not specific to a midpoint. "AC is a segment" is given by the diagram, not a deduction from B being the midpoint. "AB=2BC" contradicts the definition of a midpoint. Only "AB=BC" directly follows from B being the midpoint of segment AC.

Answer:

If B is the midpoint, then AB=BC