Question

name each point, line, line segment, or ray. 1. 2. 3. 4. 5. 6. 7. 8. 9.

Explanation:

Step1: Identify the figure type (point, line, segment, ray)

• Ray: Has one endpoint, extends infinitely in one direction (e.g., 1, 5, 6, 9).
• Line Segment: Has two endpoints, finite length (e.g., 2, 7).
• Line: Extends infinitely in both directions (e.g., 4).
• Points: Individual dots (e.g., 3, 8).

Step2: Name using notation

• Ray: \( \overrightarrow{\text{EndpointDirection}} \) (e.g., Ray \( XY \) is \( \overrightarrow{XY} \), endpoint \( X \), direction \( Y \)).
• Line Segment: \( \overline{\text{Endpoint1Endpoint2}} \) (e.g., Segment \( DE \) is \( \overline{DE} \)).
• Line: \( \overleftrightarrow{\text{TwoPoints}} \) (e.g., Line \( WX \) is \( \overleftrightarrow{WX} \)).
• Points: Just the letter (e.g., Points \( S \), \( T \)).

Apply this to each figure:

1. Ray with endpoint \( X \), through \( Y \): \( \overrightarrow{XY} \).
2. Segment with endpoints \( D \), \( E \): \( \overline{DE} \).
3. Two points: \( S \), \( T \).
4. Line through \( W \), \( X \): \( \overleftrightarrow{WX} \).
5. Ray with endpoint \( C \), through \( D \): \( \overrightarrow{CD} \).
6. Ray with endpoint \( M \), through \( L \): \( \overrightarrow{ML} \).
7. Segment with endpoints \( J \), \( K \): \( \overline{JK} \).
8. Three points: \( R \), \( V \), \( O \).
9. Ray with endpoint \( I \), through \( H \): \( \overrightarrow{IH} \).

Answer:

1. Ray \( \overrightarrow{XY} \)
2. Line Segment \( \overline{DE} \)
3. Points \( S \), \( T \)
4. Line \( \overleftrightarrow{WX} \)
5. Ray \( \overrightarrow{CD} \) (or \( \overrightarrow{DC} \) depending on direction, but here the arrow starts at \( C \) and goes through \( D \), so \( \overrightarrow{CD} \))
6. Ray \( \overrightarrow{ML} \) (arrow starts at \( M \), goes through \( L \))
7. Line Segment \( \overline{JK} \)
8. Points \( R \), \( V \), \( O \)
9. Ray \( \overrightarrow{IH} \) (arrow starts at \( I \), goes through \( H \))