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 one endpoint \(R\) and extends infinitely in the direction away from \(R\) (towards \(S\) and beyond). So it is a ray. Written as \(\overrightarrow{RS}\) (the arrow indicates the direction of the ray starting from \(R\)).

Step3: Analyze figure (b)

It has two endpoints \(Q\) and \(P\). So it is a line segment. Written as \(\overline{QP}\).

Step4: Analyze figure (c)

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

Answer:

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