Question

module 1 - topic 2 - justifying line & angle relationships test
possible points 6
state the segment addition postulate
ab + ac = bc + ac
point b is on \overline{ac} and between a and c
point b is the midpoint of \overline{ac}
ab + bc = ac

Explanation:

The Segment Addition Postulate states that if a point lies on a line segment between two endpoints, then the sum of the lengths of the two smaller segments formed is equal to the length of the original segment. In this case, if point \( B \) is on \( \overline{AC} \) and between \( A \) and \( C \), then \( AB + BC=AC \).

Answer:

If \( \boldsymbol{\text{point } B \text{ is on } \overline{AC} \text{ and between } A \text{ and } C} \), then \( \boldsymbol{AB + BC = AC} \).