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)

Figure (a) has no endpoints (arrows on both ends), so it is a line. It is written as \(\overleftrightarrow{EF}\) (order of points doesn't matter for a line).

Step3: Analyze figure (b)

Figure (b) has one endpoint (\(C\)) and extends infinitely from \(C\) through \(D\), so it is a ray. It is written as \(\overrightarrow{CD}\) (the endpoint is the first letter).

Step4: Analyze figure (c)

Figure (c) has two endpoints (\(A\) and \(B\)), so it is a line segment. It is written as \(\overline{BA}\) (order of points doesn't matter for a line segment).

Answer:

(a) Type: line; How to write it: \(\overleftrightarrow{EF}\)
(b) Type: ray; How to write it: \(\overrightarrow{CD}\)
(c) Type: line segment; How to write it: \(\overline{BA}\)