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 \(Q\) and extends infinitely towards \(P\), so it is a ray. It is written as \(\overrightarrow{QP}\).

Step3: Analyze figure (b)

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

Step4: Analyze figure (c)

It extends infinitely in both directions, so it is a line. It is written as \(\overleftrightarrow{RS}\).

Answer:

(a) Type: ray, How to write it: \(\overrightarrow{QP}\)
(b) Type: line segment, How to write it: \(\overline{TU}\)
(c) Type: line, How to write it: \(\overleftrightarrow{RS}\)