Question

classify each figure as a line, ray, or line segment. then, show how to write it.

(a)
figure: image of a figure with points h and g and an arrow pointing to the left
type:
○ line
○ ray
○ line segment
how to write it: empty box

(b)
figure: image of a figure with points j and k and an arrow pointing to the left
type:
○ line
○ ray
○ line segment
how to write it: empty box

(c)
figure: image of a figure with points l and m
type:
○ line
○ ray
○ line segment
how to write it: empty box

Explanation:

Step1: Identify figure (a)

It has one - end point and extends infinitely in one direction, so it's a ray.

Step2: Write figure (a)

The notation for a ray with endpoint $H$ and passing through $G$ is $\overrightarrow{HG}$.

Step3: Identify figure (b)

It extends infinitely in both directions, so it's a line.

Step4: Write figure (b)

The notation for a line passing through $J$ and $K$ is $\overleftrightarrow{JK}$.

Step5: Identify figure (c)

It has two endpoints $L$ and $M$, so it's a line - segment.

Step6: Write figure (c)

The notation for a line - segment with endpoints $L$ and $M$ is $\overline{LM}$.

Answer:

(a) ray, $\overrightarrow{HG}$
(b) line, $\overleftrightarrow{JK}$
(c) line segment, $\overline{LM}$