Question

complete the following logical statement/argument:
if b lies on a line between points a and c, then ____ because ____.

if b lies on a line between points a and c, then ab=bc because of the midpoint theorem
if b lies on a line between points a and c, then ab=bc because of the segment addition postulate
if b lies on a line between points a and c, then ab+bc=ac because of the transitive property
if b lies on a line between points a and c, then ab+bc=ac because of the segment addition postulate
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Explanation:

The segment addition postulate states that if a point lies on a line segment between two endpoints, the sum of the lengths of the two smaller segments equals the length of the whole segment. The midpoint theorem only applies if B is the midpoint (not just any point between A and C), and the transitive property relates equal quantities, not segment addition.

Answer:

If B lies on a line between points A and C, then AB+BC=AC because of the segment addition postulate