Question

1. classify each figure as line, ray, or line segment. then, show how to write it with proper notation.

figure (a)
type (select one)
○ line
○ ray
○ line segment
figure (b)
type (select one)
○ line
○ ray
○ line segment
figure (c)
type (select one)
○ line
○ ray
○ line segment
proper notation

Explanation:

Part (a)

Step1: Identify the figure type

A line extends infinitely in both directions and has no endpoints. The figure in (a) has arrows in both directions, so it's a line.

Step2: Write the proper notation

For a line with points \( U \) and \( T \), the notation is \( \overleftrightarrow{UT} \) (or \( \overleftrightarrow{TU} \)).

Step1: Identify the figure type

A line segment has two endpoints and a definite length. The figure in (b) has two endpoints \( P \) and \( Q \), so it's a line segment.

Step2: Write the proper notation

For a line segment with endpoints \( P \) and \( Q \), the notation is \( \overline{PQ} \) (or \( \overline{QP} \)).

Step1: Identify the figure type

A ray has one endpoint and extends infinitely in one direction. The figure in (c) has an endpoint \( S \) and extends infinitely from \( S \) through \( R \), so it's a ray.

Step2: Write the proper notation

For a ray with endpoint \( S \) and passing through \( R \), the notation is \( \overrightarrow{SR} \).

Answer:

Type: line
Proper Notation: \( \overleftrightarrow{UT} \) (or \( \overleftrightarrow{TU} \))

Part (b)