Question

use the figure to the right to answer each question. 11. name five points. ____ 12. name two line segments. __ 13. name four rays. __ 14. name the line three ways. ____

Explanation:

11.

Step1: Identify points from the figure

Looking at the figure, the labeled points are \( R \), \( S \), \( T \), \( U \), \( V \). We can directly name these as the five points.

12.

Step1: Recall line segment definition

A line segment is a part of a line with two endpoints.

Step2: Identify line segments from the figure

From the figure, segments like \( \overline{RS} \) (with endpoints \( R \) and \( S \)) and \( \overline{ST} \) (with endpoints \( S \) and \( T \)) are valid. Also, \( \overline{SU} \) (endpoints \( S \) and \( U \)) or \( \overline{SV} \) (endpoints \( S \) and \( V \)) can be named.

13.

Step1: Recall ray definition

A ray has one endpoint and extends infinitely in one direction.

Step2: Identify rays from the figure

• \( \overrightarrow{RS} \): starts at \( R \), goes through \( S \) (but wait, actually direction matters. Wait, correct rays: \( \overrightarrow{TR} \) (starts at \( T \), goes through \( S \), \( R \)), \( \overrightarrow{RT} \) (starts at \( R \), goes through \( S \), \( T \)), \( \overrightarrow{SU} \) (starts at \( S \), goes through \( U \)), \( \overrightarrow{SV} \) (starts at \( S \), goes through \( V \)). Wait, let's correct. From the figure, the horizontal line has direction: left from \( R \), right from \( T \)? Wait, the arrow on the horizontal line is to the left at \( R \) and right at \( T \)? Wait, the figure shows: left arrow at \( R \), so the line \( RT \) (or \( TR \)) has arrows. So rays: \( \overrightarrow{SR} \) (starts at \( S \), goes to \( R \)), \( \overrightarrow{ST} \) (starts at \( S \), goes to \( T \)), \( \overrightarrow{SU} \) (starts at \( S \), goes to \( U \)), \( \overrightarrow{SV} \) (starts at \( S \), goes to \( V \)). Or \( \overrightarrow{TR} \) (starts at \( T \), goes through \( S \), \( R \)), \( \overrightarrow{RT} \) (starts at \( R \), goes through \( S \), \( T \)), \( \overrightarrow{SU} \), \( \overrightarrow{SV} \). So a valid set: \( \overrightarrow{RT} \), \( \overrightarrow{TR} \), \( \overrightarrow{SU} \), \( \overrightarrow{SV} \).

14.

Answer:

\( R \), \( S \), \( T \), \( U \), \( V \)