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 is another point that indicates the direction in which the ray extends. The ray \( \overrightarrow{AB} \) starts at point A and extends infinitely in the direction of point B. The key distinction between a ray and a line segment is in their definitions and properties: 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 in the direction towards point B. 2. **Line Segment**: A line segment, on the other hand, has two endpoints. It is the part of a line that is bounded by two distinct points, say A and B. The line segment \( AB \) includes all the points between A and B, as well as the endpoints A and B themselves. In summary, when naming a ray, you use the notation \( \overrightarrow{AB} \) to indicate its starting point and direction, while a line segment is simply referred to as \( AB \) and includes both endpoints with a finite length.