Problem Analysis:
The worksheet focuses on identifying and naming points, rays, line segments, and lines based on a given geometric figure. Let's solve each part step by step.
#### Given Figure:
The figure shows several points labeled as \( P, Q, R, S, T, U \). There are also rays, line segments, and lines formed by these points.
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Solution:
####
i. Write the name in any two rays.
A
ray is defined as a part of a line that has one endpoint and extends infinitely in one direction. In the figure, we can identify the following rays:
- Ray \( \overrightarrow{QU} \): Starts at point \( Q \) and extends through point \( U \).
- Ray \( \overrightarrow{QT} \): Starts at point \( Q \) and extends through point \( T \).
Answer:
\[
\boxed{\overrightarrow{QU}, \overrightarrow{QT}}
\]
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####
ii. Write the name in all points.
The points in the figure are explicitly labeled. We simply list them:
- \( P \)
- \( Q \)
- \( R \)
- \( S \)
- \( T \)
- \( U \)
Answer:
\[
\boxed{P, Q, R, S, T, U}
\]
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####
iii. Write any two line segment names.
A
line segment is a part of a line with two endpoints. From the figure, we can identify the following line segments:
- Line segment \( \overline{PQ} \): Connects points \( P \) and \( Q \).
- Line segment \( \overline{QR} \): Connects points \( Q \) and \( R \).
Answer:
\[
\boxed{\overline{PQ}, \overline{QR}}
\]
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####
iv. What is called \( QU \)?
From the figure, \( QU \) is a ray starting at point \( Q \) and extending through point \( U \). Therefore, \( QU \) is a
ray.
Answer:
\[
\boxed{\text{Ray}}
\]
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####
v. What is called \( Q \)?
Point \( Q \) is a single location in space. It is simply a
point.
Answer:
\[
\boxed{\text{Point}}
\]
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Final Answers:
1. \(\boxed{\overrightarrow{QU}, \overrightarrow{QT}}\)
2. \(\boxed{P, Q, R, S, T, U}\)
3. \(\boxed{\overline{PQ}, \overline{QR}}\)
4. \(\boxed{\text{Ray}}\)
5. \(\boxed{\text{Point}}\)
Parent Tip: Review the logic above to help your child master the concept of points line segments lines and rays worksheet.
