Question

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

figure	type	how to write it
(b) figure with points r and s (both endpoints)	∘ line ∘ ray ∘ line segment	box
(c) figure with points p and q (arrows both ends)	∘ line ∘ ray ∘ line segment	box

Explanation:

Part (a)

Step1: Identify the type

A ray has one endpoint and extends infinitely in one direction. The figure has an endpoint at \( T \) and extends through \( U \) infinitely. So it's a ray.

Step2: Write the ray

A ray is named with its endpoint first, then another point on the ray. So it's \( \overrightarrow{TU} \).

Step1: Identify the type

A line segment has two endpoints and a definite length. The figure has endpoints \( R \) and \( S \). So it's a line segment.

Step2: Write the line segment

A line segment is named with its two endpoints. So it's \( \overline{RS} \).

Step1: Identify the type

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

Step2: Write the line

A line can be named with two points on it. So it's \( \overleftrightarrow{PQ} \) (or \( \overleftrightarrow{QP} \)).

Answer:

Type: ray; How to write it: \( \overrightarrow{TU} \)

Part (b)