Problem Analysis:
The task requires identifying whether each given geometric figure is a
line,
line segment, or
ray. Here are the definitions provided in the image:
1.
Line: A line goes in both directions forever. It has no endpoints.
2.
Line Segment: A line segment ends in fixed points on both sides. It has two endpoints.
3.
Ray: A ray starts at a point and goes forever in one direction. It has one endpoint.
Solution Approach:
We will analyze each figure step by step based on the definitions above.
---
####
Row 1:
1.
First Figure (Top Left):
- The figure has one endpoint and extends infinitely in one direction.
-
Conclusion: This is a
ray.
2.
Second Figure (Top Middle):
- The figure has one endpoint and extends infinitely in one direction.
-
Conclusion: This is a
ray.
3.
Third Figure (Top Right):
- The figure has two endpoints.
-
Conclusion: This is a
line segment.
---
####
Row 2:
4.
Fourth Figure (Middle Left):
- The figure has arrows on both ends, indicating it extends infinitely in both directions.
-
Conclusion: This is a
line.
5.
Fifth Figure (Middle Middle):
- The figure has two endpoints.
-
Conclusion: This is a
line segment.
6.
Sixth Figure (Middle Right):
- The figure has one endpoint and extends infinitely in one direction.
-
Conclusion: This is a
ray.
---
####
Row 3:
7.
Seventh Figure (Bottom Left):
- The figure has one endpoint and extends infinitely in one direction.
-
Conclusion: This is a
ray.
8.
Eighth Figure (Bottom Middle):
- The figure has two endpoints.
-
Conclusion: This is a
line segment.
9.
Ninth Figure (Bottom Right):
- The figure has one endpoint and extends infinitely in one direction.
-
Conclusion: This is a
ray.
---
Final Answer:
Based on the analysis, the labels for each figure are as follows:
| Row 1 | Row 2 | Row 3 |
|-------|-------|-------|
| Ray | Line | Ray |
| Ray | Line Segment | Line Segment |
| Line Segment | Ray | Ray |
Thus, the completed grid is:
```
Ray Ray Line Segment
Line Line Segment Ray
Ray Line Segment Ray
```
Boxed Final Answer:
\[
\boxed{
\begin{array}{ccc}
\text{Ray} & \text{Ray} & \text{Line Segment} \\
\text{Line} & \text{Line Segment} & \text{Ray} \\
\text{Ray} & \text{Line Segment} & \text{Ray} \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of points line segments lines and rays worksheet.