Question

the points on any line or line segment can be put into a correspondence with real numbers so that two selected points can have coordinates 0 and 1, and that the distance between two points is the value of the difference between the corresponding numbers. (the ruler postulate)

1. choose the best answer.

if three points a, b, and c are ____, and b is between a and c, then ( ab + bc = ac ). (the segment addition postulate)
one to one
maximum
collinear
minimum

1. choose the best answer.

using the given coordinates and the ruler postulate, calculate the length of the line segment.

Explanation:

The Segment Addition Postulate states that if three points are collinear (lying on the same straight line) and one point is between the other two, then the sum of the lengths of the two smaller segments equals the length of the larger segment. In the given problem, since \(AB + BC=AC\) is based on the Segment Addition Postulate, the key condition is that points \(A\), \(B\), and \(C\) must be collinear. The terms "one - to - one" (usually related to functions), "maximum" (a value concept), and "minimum" (a value concept) are not relevant to the geometric relationship described by the Segment Addition Postulate.

Answer:

collinear