Question

classify each figure as a line, ray, or line segment. then, show how to write it.
figure\ttype\thow to write it
(a) figure with points c, d, arrows on both ends\t(\boldsymbol{circ}) line (\boldsymbol{\bigcirc}) ray (\boldsymbol{\bigcirc}) line segment\tcd
(b) figure with points e, f, arrow at e, endpoint at f\t(\boldsymbol{\bigcirc}) line (\boldsymbol{circ}) ray (\boldsymbol{\bigcirc}) line segment\tef
(c) figure with points b, a, two endpoints\t(\boldsymbol{\bigcirc}) line (\boldsymbol{\bigcirc}) ray (\boldsymbol{circ}) line segment\tba

Explanation:

Step1: Recall definitions

• Line: Extends infinitely in both directions, no endpoints.
• Ray: Extends infinitely in one direction, one endpoint.
• Line segment: Has two endpoints, finite length.

Step2: Analyze each figure

• (a): Arrows both ends → Line. Written as $\overleftrightarrow{CD}$.
• (b): Arrow at E, endpoint at F → Ray. Written as $\overrightarrow{EF}$.
• (c): Two endpoints (B, A) → Line segment. Written as $\overline{BA}$.

Answer:

(a) Type: Line, Write: $\overleftrightarrow{CD}$
(b) Type: Ray, Write: $\overrightarrow{EF}$
(c) Type: Line Segment, Write: $\overline{BA}$