4 Postulates

Question 1

Postulate #1: Ruler postulate

Answer 1

1. The points on the line can be paired with the real numbers in such a way any two points can have coordinates 0 and 1.
2. Once a coordinate system has been chosen in the way, the distance between any two points equals the absolute value of the difference of thier coordinates.

Question 2

Postulate #2: Segment addition postulate

Answer 2

If B is between A and C then AB + BC = AC

Question 3

Postulate #3: Protractor postulate

Answer 3

On line AB in a given plane, chose any point 0 between A and B. Consider line OA and line OB and all the rays that can be drawn from one side of line AB. These rays can be paired with real numbers from O to 180 in such that:

A. Line OA is paired with 0, and OB and with 180
B. See TB for more

Question 4

Postulate #4: Angle addition postulate

Answer 4

If point B lies in the interior of m