Question

classify each figure as a line, ray, or line segment. then, show how to write it.
figure\ttype\thow to write it
(a) \t∘ line
∘ ray
∘ line segment\tbox
(b) \t∘ line
∘ ray
∘ line segment\tbox
(c) \t∘ line
∘ ray
∘ line segment\tbox

Explanation:

Part (a)

Step1: Identify the type

A line extends infinitely in both directions. The figure has arrows on both ends, so it's a line.

Step2: Write the line

A line can be written using two points on it with a double - headed arrow. So it's written as $\overleftrightarrow{AB}$.

Step1: Identify the type

A ray has a starting point and extends infinitely in one direction. The figure has a starting point (C) and an arrow on one end, so it's a ray.

Step2: Write the ray

A ray is written with the starting point first and then another point on the ray, with a single - headed arrow. So it's written as $\overrightarrow{CD}$.

Step1: Identify the type

A line segment has two endpoints and a definite length. The figure has two endpoints (F and E), so it's a line segment.

Step2: Write the line segment

A line segment is written using its two endpoints with a line segment symbol. So it's written as $\overline{FE}$ (or $\overline{EF}$).

Answer:

Type: line; How to write it: $\overleftrightarrow{AB}$

Part (b)