Question

1. choose the best answer.

\the points on any line or line segment can be put into one - to - one correspondence with real numbers so that two selected points can have coordinates 0 and 1, and that the distance between two points is the absolute value of the difference between the corresponding numbers\ is a statement of the ______
○ ruler postulate
○ segment bisector
○ segment addition postulate
○ angle

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 ______
○ collinear
○ ruler postulate
○ segment bisector
○ segment addition postulate

Explanation:

Question 4

The statement describes assigning real numbers to points on a line/segment (with two points as 0 and 1) and using absolute difference for distance, which matches the Ruler Postulate. A segment bisector divides a segment, the Segment Addition Postulate is about adding segment lengths, and "angle" is unrelated. So the correct answer is the Ruler Postulate.

The statement says if three collinear points have B between A and C, then \( AB + BC = AC \), which is the definition of the Segment Addition Postulate. "Collinear" is a property, the Ruler Postulate is about numbering points, and a segment bisector divides a segment, so the correct answer is the Segment Addition Postulate.

Answer:

A. Ruler Postulate

Question 5