Term
Postulate 1: Ruler Postulate 

Definition
The points on a line can be paired in a onetoone correspondence with the real numbers such that:
1. Any two given points can have coordinates 0 and 1
2. The distance between two points is the absolute value of the difference of their coordinates. 


Term
Postulate 2: Segment Addition Postulate 

Definition
If B is between A and C, the AB + BC = AC 


Term
Postulate 3: Protractor Postulate 

Definition
<> > >
Given a point X on PR, consider rays XP and XR,
as well as all the other rays that can be drawn
<>
with x as an endpoint, on one side of PR. These rays can be paired with the real numbers from 0 to 180 such that:
> >
1.XP is paired with 0, and XR is paired with 180
> >
2. If XA is paired with a number c and XB is paired with a number d then m/_AXB = \cd\. 


Term
Postulate 4: The Angle Addition Postulate 

Definition
If point D is in the interior of /_ ABC, then m/_ ABD+m/_DBC = m/_ ABC



Term

Definition
Through any two points there is exactly one line. 


Term

Definition
Through any three noncollinear points there exists exactly one plane. 


Term

Definition
If two planes intersect, then their intersection is a
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line. Planes M and N intersect at AB. 


Term

Definition
If two points line on a plane, then the line containing the points lies in the plane. 


Term

Definition
A line contains at least 2 points. A plane contains at least 3 noncollinear points. Space contains at least 4 noncoplanar points. 


Term
Postulate 10: The Parallel Postulate 

Definition
Through a point not on a line, there exists exactly one line through the point that is parallel to the line. 

