Question

a line segment is defined by which of the following statements?
a. two rays that share a common endpoint.

b. the set of all points that are a fixed distance from a given point.

c. all points between and including two given points.

d. a straight path connecting two points and extending infinitely in both directions.

Explanation:

• Option A: Two rays sharing a common endpoint define an angle, not a line segment.
• Option B: The set of all points at a fixed distance from a given point is a circle.
• Option C: A line segment is defined as all the points between and including two given endpoints (the two given points). This matches the definition of a line segment.
• Option D: A straight path connecting two points and extending infinitely in both directions is a line, not a line segment.

Answer:

C. All points between and including two given points.