Question

which is the definition of a line segment? a a line segment consists of two points and all points in between. b a line segment is a set of points that extend infinitely far in one direction. c a line segment is a set of points that extend infinitely far in both directions. d a line segment is the set of points in a plane that are equidistant from a given point.

Explanation:

• Option A: A line segment has two endpoints and all the points between them. This matches the definition of a line segment.
• Option B: A set of points that extend infinitely far in one direction is a ray, not a line segment.
• Option C: A set of points that extend infinitely far in both directions is a line, not a line segment.
• Option D: The set of points in a plane that are equidistant from a given point is a circle, not a line segment.

Answer:

A. A line segment consists of two points and all points in between.