Question

geometry lesson 1-1a form a fill in the empty boxes in the table. make a drawing of the following geometric items or write the geometric name using the accepted symbol notation or write the name in words. the first row of the table shows example #1 and 2.
name: _____________________ period: ____

symbol notation	description in words	drawing
1)	2)	(drawing with n and v as endpoints)
3)	ray dh	4)
↔ ts	5)	6)

Explanation:

For the row with drawing of segment \( \boldsymbol{NV} \) (points \( N \) and \( V \)):

Step1: Identify the geometric figure

The drawing shows two endpoints \( N \) and \( V \) connected by a line segment.

Step2: Write symbol notation

The symbol notation for a line segment with endpoints \( N \) and \( V \) is \( \overline{NV} \) (or \( \overline{VN} \), but usually ordered as per the drawing).

Step3: Write description in words

The description is "Segment \( NV \)" (or "Line segment \( NV \)").

For the row with description "Ray \( \boldsymbol{DH} \)":

Step1: Recall ray notation

A ray has a starting point and extends infinitely in one direction. For ray \( DH \), the starting point is \( D \), and it passes through \( H \), so the symbol notation is \( \overrightarrow{DH} \).

Step2: Draw the ray

To draw ray \( DH \), place a point at \( D \) (the endpoint) and draw a line starting at \( D \) and passing through \( H \), with an arrow on the end (beyond \( H \)) to show it extends infinitely.

For the row with symbol notation \( \boldsymbol{\overleftrightarrow{TS}} \):

Step1: Identify the geometric figure

The symbol \( \overleftrightarrow{TS} \) represents a line (since it has arrows on both ends), meaning it extends infinitely in both directions through points \( T \) and \( S \).

Step2: Write description in words

The description is "Line \( TS \)" (or "Line \( ST \)").

Step3: Draw the line

To draw line \( TS \), draw a straight line passing through points \( T \) and \( S \), with arrows on both ends to indicate it extends infinitely in both directions.

Filled Table (Key Entries):

Symbol Notation	Description in words	Drawing
\( \overrightarrow{DH} \)	Ray \( DH \)	(Draw: Point \( D \), line through \( H \) with arrow beyond \( H \))
\( \overleftrightarrow{TS} \)	Line \( TS \)	(Draw: Line through \( T \) and \( S \) with arrows on both ends)

Answer:

Step1: Identify the geometric figure

The drawing shows two endpoints \( N \) and \( V \) connected by a line segment.

Step2: Write symbol notation

The symbol notation for a line segment with endpoints \( N \) and \( V \) is \( \overline{NV} \) (or \( \overline{VN} \), but usually ordered as per the drawing).

Step3: Write description in words

The description is "Segment \( NV \)" (or "Line segment \( NV \)").

For the row with description "Ray \( \boldsymbol{DH} \)":

Step1: Recall ray notation

A ray has a starting point and extends infinitely in one direction. For ray \( DH \), the starting point is \( D \), and it passes through \( H \), so the symbol notation is \( \overrightarrow{DH} \).

Step2: Draw the ray

To draw ray \( DH \), place a point at \( D \) (the endpoint) and draw a line starting at \( D \) and passing through \( H \), with an arrow on the end (beyond \( H \)) to show it extends infinitely.

For the row with symbol notation \( \boldsymbol{\overleftrightarrow{TS}} \):

Step1: Identify the geometric figure

The symbol \( \overleftrightarrow{TS} \) represents a line (since it has arrows on both ends), meaning it extends infinitely in both directions through points \( T \) and \( S \).

Step2: Write description in words

The description is "Line \( TS \)" (or "Line \( ST \)").

Step3: Draw the line

To draw line \( TS \), draw a straight line passing through points \( T \) and \( S \), with arrows on both ends to indicate it extends infinitely in both directions.

Filled Table (Key Entries):

Symbol Notation	Description in words	Drawing
\( \overrightarrow{DH} \)	Ray \( DH \)	(Draw: Point \( D \), line through \( H \) with arrow beyond \( H \))
\( \overleftrightarrow{TS} \)	Line \( TS \)	(Draw: Line through \( T \) and \( S \) with arrows on both ends)