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 has no endpoints and 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)

Figure (a) has one endpoint (S) and extends infinitely in one direction (towards R). So it is a ray. Written as $\overrightarrow{SR}$.

Step3: Analyze figure (b)

Figure (b) has two endpoints (P and Q). So it is a line segment. Written as $\overline{PQ}$.

Step4: Analyze figure (c)

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

Answer:

(a) ray, $\overrightarrow{SR}$; (b) line segment, $\overline{PQ}$; (c) line, $\overleftrightarrow{TU}$