Question

classify each figure as a line, ray or line segment. then, show how to write it.
(a)
figure: figure of two - points with an arrow pointing left
type: o line, ● ray, o line segment
how to write it: lm
(b)
figure: figure of two - points
type: o line, o ray, ● line segment
how to write it: gh
(c)
figure: figure of two - points with arrows on both ends
type: ● line, o ray, o line segment
how to write it: jk

Explanation:

Step1: Recall definitions

A ray has one - endpoint and extends infinitely in one direction. A line segment has two endpoints. A line extends infinitely in both directions.

Step2: Analyze (a)

The figure with one endpoint \(L\) and extending towards \(M\) is a ray, written as \(\overrightarrow{LM}\).

Step3: Analyze (b)

The figure with two endpoints \(G\) and \(H\) is a line segment, written as \(\overline{GH}\).

Step4: Analyze (c)

The figure extending infinitely in both directions with points \(J\) and \(K\) on it is a line, written as \(\overleftrightarrow{JK}\).

Answer:

(a) Type: ray, How to write it: \(\overrightarrow{LM}\)
(b) Type: line segment, How to write it: \(\overline{GH}\)
(c) Type: line, How to write it: \(\overleftrightarrow{JK}\)