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 ray has one endpoint and extends infinitely in one direction, a line has no endpoints and extends infinitely in both directions.

Step2: Analyze figure (a)

It has two endpoints T and U, so it is a line - segment. It is written as $\overline{TU}$.

Step3: Analyze figure (b)

It has two endpoints P and Q, so it is a line - segment. It is written as $\overline{PQ}$.

Step4: Analyze figure (c)

It has no endpoints and extends infinitely in both directions, so it is a line. It is written as $\overleftrightarrow{SR}$.

Answer:

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