Question

which answer choice states the following? \if point b is on \\( \overline { a c } \\) and between points a and c, then \\( a b + b c = a c \\).\ segment addition postulate addition property congruent supplement theorem definition of a midpoint clear all

Explanation:

The Segment Addition Postulate states that if a point \( B \) is on a line segment \( \overline{AC} \) and between points \( A \) and \( C \), then the sum of the lengths of \( \overline{AB} \) and \( \overline{BC} \) is equal to the length of \( \overline{AC} \), i.e., \( AB + BC=AC \). The Addition Property is a general property of equality (if \( a = b \), then \( a + c=b + c \)). The Congruent Supplement Theorem is about angles (if two angles are supplements of the same angle, then they are congruent). The Definition of a midpoint is when a point divides a segment into two equal parts (\( AB = BC \) when \( B \) is the mid - point of \( \overline{AC} \)), not just \( AB + BC=AC \).

Answer:

Segment Addition Postulate