Question

classify each figure as a line, ray, or line segment. then, show how to write it.

(a)

(b)

(c)

Explanation:

Step1: Recall definitions

• A line segment has two endpoints.
• A line has no endpoints and extends infinitely in both directions.
• A ray has one endpoint and extends infinitely in one direction.

Step2: Analyze figure (a)

• Figure (a) has two endpoints \( R \) and \( S \). So it is a line segment.
• Written as \( \overline{RS} \).

Step3: Analyze figure (b)

• Figure (b) has no endpoints and extends infinitely in both directions. So it is a line.
• Written as \( \overleftrightarrow{UT} \).

Step4: Analyze figure (c)

• Figure (c) has one endpoint \( Q \) and extends infinitely in one direction (away from \( Q \)). So it is a ray.
• Written as \( \overrightarrow{QP} \).

Answer:

(a) line segment, \( \overline{RS} \)
(b) line, \( \overleftrightarrow{UT} \)
(c) ray, \( \overrightarrow{QP} \)