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

Step2: Analyze figure (a)

It has one endpoint $U$ and extends infinitely towards $T$, so it is a ray. It is written as $\overrightarrow{UT}$.

Step3: Analyze figure (b)

It has two endpoints $S$ and $R$, so it is a line segment. It is written as $\overline{SR}$.

Step4: Analyze figure (c)

It extends infinitely in both directions with points $P$ and $Q$ on it, so it is a line. It is written as $\overleftrightarrow{PQ}$.

Answer:

(a) Type: ray, How to write it: $\overrightarrow{UT}$
(b) Type: line segment, How to write it: $\overline{SR}$
(c) Type: line, How to write it: $\overleftrightarrow{PQ}$