Question

1. choose the best answer. \if three points a, b, and c are collinear, and b is between a and c, then ab + bc = ac\ is a statement of the _____ postulate.

options: ruler, coordinate, segment addition, correspondence

Explanation:

The Segment Addition Postulate states that if three points \( A \), \( B \), and \( C \) are collinear, and \( B \) is between \( A \) and \( C \), then the length of segment \( AB \) plus the length of segment \( BC \) equals the length of segment \( AC \) (i.e., \( AB + BC = AC \)). The Ruler Postulate is about assigning numbers to points on a line, the Coordinate Postulate relates to coordinates in a plane, and Correspondence Postulate is not related to this segment addition concept. So the correct postulate here is Segment Addition.

Answer:

C. Segment Addition