Topics:
Definitions of Segment and Ray and Basic Examples
Equality of Segments and Equality of Rays
Relationships Among Segments, Rays, and Lines
Passing Points and Extreme Points
Another Look at Equality of Segments and Equality of Rays
Congruence of Segments
The Segment Addition and Segment Subtraction Theorems (Corollaries, really)
Discussing concepts from Section 3.3 of Millman & Parker, Geometry: A Metric Approach with Models, 2nd Edition