What is the missing statement in the proof?
Given:
Prove: B is the midpoint of

Statements	Reason
	Given
2AB = AC	Multiplication property of equality
AB + AB = AC	Distributive property
AB + BC = AC	______?
AB + AB = AB + BC	Transitive property of equality
AB = BC	Subtraction property of equality
B is the midpoint of	Definition of midpoint

The correct answer is: Segment Addition Postulate

if a is any point on the line xy then
xa + ay = xy . This is Segment Addition Postulate  .

 

 

 

The segment addition postulate in geometry is the axiom which states that a line segment divided into smaller pieces is the sum of the lengths of all those smaller segments. So, if we have three collinear points A, B, and C on segment AC, it means AB + BC = AC. It is a mathematical fact that can be accepted without proof.