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 has no endpoints and extends infinitely in both directions.
• A ray has one endpoint and extends infinitely in one direction.
• A line segment has two endpoints.

Step2: Analyze figure (a)

The figure has no endpoints and extends infinitely in both directions. So it is a line. We write it as $\overleftrightarrow{SR}$ (the order of the letters does not matter for a line).

Step3: Analyze figure (b)

The figure has one endpoint ($Q$) and extends infinitely in one direction. So it is a ray. We write it as $\overrightarrow{QP}$ (the endpoint is written first).

Step4: Analyze figure (c)

The figure has two endpoints ($T$ and $U$). So it is a line segment. We write it as $\overline{TU}$.

Answer:

(a) Type: line, How to write it: $\overleftrightarrow{SR}$

(b) Type: ray, How to write it: $\overrightarrow{QP}$

(c) Type: line segment, How to write it: $\overline{TU}$