Question

classify each figure as a line, ray, or line - segment. then, show how to write it.
(a) figure: description of the first figure with points a and b and arrows on both ends, type: line, ray, line segment, how to write it: empty box
(b) figure: description of the second figure with points c and d and an arrow on one end, type: line, ray, line segment, how to write it: empty box
(c) figure: description of the third figure with points e and f and no arrows, type: line, ray, line segment, how to write it: empty box

Explanation:

Step1: Recall line definition

A line extends infinitely in both directions. The figure (a) has arrows on both ends indicating infinite extension, so it is a line. It is written as $\overleftrightarrow{AB}$.

Step2: Recall ray definition

A ray has one endpoint and extends infinitely in one direction. The figure (b) has one endpoint $C$ and an arrow indicating infinite extension in one - direction, so it is a ray. It is written as $\overrightarrow{CD}$.

Step3: Recall line - segment definition

A line segment has two endpoints. The figure (c) has two endpoints $E$ and $F$, so it is a line segment. It is written as $\overline{EF}$.

Answer:

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