Question

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

Explanation:

Step1: Recall definitions

• A line extends infinitely in both directions.
• A ray has one endpoint and extends infinitely in one direction.
• A line segment has two endpoints.

Step2: Analyze figure (a)

It extends infinitely in both directions, so it is a line. Written as $\overleftrightarrow{RS}$.

Step3: Analyze figure (b)

It has one endpoint \(Q\) and extends infinitely in one direction, so it is a ray. Written as $\overrightarrow{QP}$.

Step4: Analyze figure (c)

It has two endpoints \(U\) and \(T\), so it is a line segment. Written as $\overline{UT}$.

Answer:

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