Question

classify each figure as a line, ray, or line - segment. then, show how to write it.
(a) figure: q - p; type: line segment, ray, line
(b) figure: u - t; type: line segment, ray, line
(c) figure: s - r; type: line segment, ray, line

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 \(P\) and \(Q\), so it is a line - segment. Written as \(\overline{PQ}\).

Step3: Analyze figure (b)

It has one endpoint \(T\) and extends infinitely in the direction of \(U\), so it is a ray. Written as \(\overrightarrow{TU}\).

Step4: Analyze figure (c)

It has one endpoint \(R\) and extends infinitely in the direction of \(S\), so it is a ray. Written as \(\overrightarrow{RS}\).

Answer:

(a) line segment, \(\overline{PQ}\)
(b) ray, \(\overrightarrow{TU}\)
(c) ray, \(\overrightarrow{RS}\)