Question

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

Explanation:

(a)

Step1: Identify the type

A line segment has two endpoints. The figure with endpoints \(G\) and \(H\) is a line segment.

Step2: Write the notation

The notation for a line segment with endpoints \(A\) and \(B\) is \(\overline{AB}\). So for endpoints \(G\) and \(H\), it is \(\overline{GH}\).

(b)

Step1: Identify the type

A line extends infinitely in both directions. The figure with arrows on both ends (through points \(L\) and \(M\)) is a line.

Step2: Write the notation

The notation for a line passing through points \(A\) and \(B\) is \(\overleftrightarrow{AB}\). So for points \(L\) and \(M\), it is \(\overleftrightarrow{LM}\).

(c)

Step1: Identify the type

A ray has one endpoint and extends infinitely in one direction. The figure with endpoint \(K\) and extending through \(J\) is a ray.

Step2: Write the notation

The notation for a ray with endpoint \(A\) and passing through \(B\) is \(\overrightarrow{AB}\). So for endpoint \(K\) and passing through \(J\), it is \(\overrightarrow{KJ}\).

Answer:

Figure	Type	How to write it
(b)	line	\(\overleftrightarrow{LM}\)
(c)	ray	\(\overrightarrow{KJ}\)