A part of a line that is bounded by two endpoints, and contains every point on the line between its endpoints.
Ruler Postulate (Postulate 1)
1) The points on a line can be paired with the real numbers in such a way that any two points can have the coordinates 0 and 1. 2) Once a coordinate system has been chosen in this way, the distance between any two points equals the absolute value of the difference of their coordinates.
The ________ of a segment is the point that divides the segment into two congruent segments.
A ________ of a segment is a line, segment, ray, or plane that intersects the segment at its midpoint.
Protractor Postulate (Postulate 3)
On line AB in a given plane, choose any point O between A and B. Consider ray OA and ray OB and all the rays that can be drawn from O on one side of line AB. These rays can be paired with the reals numbers from 0 to 180 in such a way that: a) Ray OA is paired with 0, and ray OB with 180. b) If ray OP is paired with x, and ray OW with y, then m∠POQ = |x-y|.