Questions: Which defines a line segment? two rays with a common endpoint a piece of a line with two endpoints a piece of a line with one endpoint all points equidistant from a given point

The answer is the second one: a piece of a line with two endpoints.

Explanation for each option:

1. Two rays with a common endpoint: This describes an angle, not a line segment. An angle is formed by two rays (or lines) that share a common endpoint, known as the vertex.

2. A piece of a line with two endpoints: This is the correct definition of a line segment. A line segment is a part of a line that is bounded by two distinct endpoints, and it contains every point on the line between its endpoints.

3. A piece of a line with one endpoint: This describes a ray, not a line segment. A ray starts at one endpoint and extends infinitely in one direction.

4. All points equidistant from a given point: This describes a circle, not a line segment. A circle is the set of all points in a plane that are at a fixed distance from a given point, known as the center.

In summary, a line segment is defined as a piece of a line with two endpoints.