Question

classify each figure as a line, ray, or line segment. then, show how to write it.
(a) figure: a line with points g and h and arrows on both ends. type: line, ray, line segment. how to write it: blank
(b) figure: a line with point k on the left - hand side and point j on the right - hand side and an arrow on the right - hand side. type: line, ray, line segment. how to write it: blank
(c) figure: a line with point l on the left - hand side and point m on the right - hand side and no arrows. type: line, ray, line segment. how to write it: blank

Explanation:

Step1: Recall definitions

A line extends infinitely in both directions, a ray extends infinitely in one - direction starting from a point, and a line segment has two endpoints.

Step2: Analyze figure (a)

The figure with points \(G\) and \(H\) extends infinitely in both directions. So it is a line. It is written as \(\overleftrightarrow{GH}\).

Step3: Analyze figure (b)

The figure with points \(K\) and \(J\) extends infinitely from point \(K\) towards \(J\). So it is a ray. It is written as \(\overrightarrow{KJ}\).

Step4: Analyze figure (c)

The figure with points \(L\) and \(M\) has two endpoints \(L\) and \(M\). So it is a line segment. It is written as \(\overline{LM}\).

Answer:

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