To solve the problem, we need to identify and label each figure as a
line,
ray, or
line segment based on their characteristics. Let's go through each part step by step.
---
Part A: Definitions
1.
A Line: A line extends infinitely in both directions. It is represented with arrows at both ends.
2.
A Ray: A ray has one endpoint and extends infinitely in one direction. It is represented with an arrow at one end and a point at the other.
3.
A Line Segment: A line segment has two endpoints and does not extend infinitely in either direction. It is represented with two points.
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Part B: Labeling the Figures
We will analyze each figure and determine whether it is a line, ray, or line segment.
####
Figure 1
- The figure has
two arrows at both ends, indicating that it extends infinitely in both directions.
-
Label:
Line
####
Figure 2
- The figure has
one endpoint (a dot) and one arrow, indicating that it extends infinitely in one direction.
-
Label:
Ray
####
Figure 3
- The figure has
two endpoints (dots) and no arrows, indicating that it does not extend infinitely in either direction.
-
Label:
Line Segment
####
Figure 4
- The figure has
two arrows at both ends, indicating that it extends infinitely in both directions.
-
Label:
Line
####
Figure 5
- The figure has
one endpoint (a dot) and one arrow, indicating that it extends infinitely in one direction.
-
Label:
Ray
####
Figure 6
- The figure has
two endpoints (dots) and no arrows, indicating that it does not extend infinitely in either direction.
-
Label:
Line Segment
---
Final Answer
Here are the labels for each figure:
1.
Line
2.
Ray
3.
Line Segment
4.
Line
5.
Ray
6.
Line Segment
$$
\boxed{\text{Line, Ray, Line Segment, Line, Ray, Line Segment}}
$$
---
Explanation
-
Lines are identified by having arrows at both ends, indicating infinite extension.
-
Rays are identified by having one endpoint and one arrow, indicating infinite extension in one direction.
-
Line Segments are identified by having two endpoints and no arrows, indicating finite length.
This method ensures accurate classification of each geometric figure based on its properties.
Parent Tip: Review the logic above to help your child master the concept of points line segments lines and rays worksheet.
