Explain how to name a ray using points A and B, and what distinguishes it from a line segment.

To name a ray using points A and B, you would typically denote it as \( \overrightarrow{AB} \). In this notation, point A is the starting point (or endpoint) of the ray, and point B indicates the direction in which the ray extends. The ray begins at point A and continues infinitely in the direction of point B. The key distinction between a ray and a line segment is in their definitions: 1. **Ray**: A ray has one endpoint and extends infinitely in one direction. In the case of \( \overrightarrow{AB} \), it starts at point A and goes on forever through point B and beyond. 2. **Line Segment**: A line segment, on the other hand, has two endpoints. It is the portion of a line that lies between two points, including both endpoints. If you were to name a line segment with points A and B, you would denote it as \( \overline{AB} \), which includes both points A and B and all the points in between. In summary, the naming convention for a ray uses an arrow over the two points to indicate its infinite nature, while a line segment is represented with a line over the two points, indicating that it has a finite length defined by its endpoints.