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 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)

It extends infinitely in both directions. So it is a line. Written as $\overleftrightarrow{DC}$ (or $\overleftrightarrow{CD}$).

Step3: Analyze figure (b)

It has two endpoints \(F\) and \(E\). So it is a line segment. Written as \(\overline{FE}\) (or \(\overline{EF}\)).

Step4: Analyze figure (c)

It has one endpoint \(B\) and extends infinitely in one direction. So it is a ray. Written as \(\overrightarrow{BA}\).

Answer:

(a) Type: line, How to write it: $\overleftrightarrow{DC}$ (or $\overleftrightarrow{CD}$)
(b) Type: line segment, How to write it: \(\overline{FE}\) (or \(\overline{EF}\))
(c) Type: ray, How to write it: \(\overrightarrow{BA}\)