More Work with Intersecting and Parallel Lines | Education World - Free Printable

Problem Analysis:

The task involves understanding and working with parallel and intersecting lines. Let's solve each part step by step.

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#### Part 1: Answer the questions about each set of lines

##### Set 1:
- Image Description:
- Lines labeled as \( AB \), \( CD \), \( EF \), and \( GH \).
- Arrows indicate directions for some lines.

1. Question: \( \overrightarrow{CD} \) is parallel to which line?
- Solution: From the image, \( \overrightarrow{CD} \) is parallel to \( \overrightarrow{EF} \). Both lines are horizontal and do not intersect.
- Answer: \( \overrightarrow{EF} \)

2. Question: \( \overrightarrow{EF} \) is not parallel to which line?
- Solution: \( \overrightarrow{EF} \) is not parallel to \( \overrightarrow{AB} \) because \( \overrightarrow{AB} \) is vertical, while \( \overrightarrow{EF} \) is horizontal.
- Answer: \( \overrightarrow{AB} \)

3. Question: \( \overrightarrow{EF} \) is crossed by which line?
- Solution: \( \overrightarrow{EF} \) is crossed by \( \overrightarrow{AB} \), as \( \overrightarrow{AB} \) intersects \( \overrightarrow{EF} \) at a point.
- Answer: \( \overrightarrow{AB} \)

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##### Set 2:
- Image Description:
- Lines labeled as \( GH \), \( KL \), \( IJ \), and arrows indicating directions.

4. Question: \( \overrightarrow{GH} \) is parallel to which line?
- Solution: \( \overrightarrow{GH} \) is parallel to \( \overrightarrow{IJ} \). Both lines are horizontal and do not intersect.
- Answer: \( \overrightarrow{IJ} \)

5. Question: Name a line that intersects \( \overrightarrow{KL} \).
- Solution: \( \overrightarrow{GH} \) intersects \( \overrightarrow{KL} \).
- Answer: \( \overrightarrow{GH} \)

6. Question: \( \overrightarrow{IJ} \) is not parallel to which line?
- Solution: \( \overrightarrow{IJ} \) is not parallel to \( \overrightarrow{KL} \) because \( \overrightarrow{KL} \) is vertical, while \( \overrightarrow{IJ} \) is horizontal.
- Answer: \( \overrightarrow{KL} \)

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#### Part 2: Draw the following lines

##### Instructions for Drawing:
We will describe how to draw each line based on the given instructions.

7. Draw \( \overrightarrow{MN} \) parallel to \( \overrightarrow{OP} \):
- Solution: Draw a new line \( \overrightarrow{MN} \) such that it is horizontal (if \( \overrightarrow{OP} \) is horizontal) or vertical (if \( \overrightarrow{OP} \) is vertical) and does not intersect \( \overrightarrow{OP} \).

8. Draw \( \overrightarrow{QR} \) intersecting \( \overrightarrow{ST} \):
- Solution: Draw a new line \( \overrightarrow{QR} \) that crosses \( \overrightarrow{ST} \) at a single point.

9. Draw \( \overrightarrow{UV} \) parallel to \( \overrightarrow{WX} \):
- Solution: Draw a new line \( \overrightarrow{UV} \) such that it is parallel to \( \overrightarrow{WX} \) (i.e., they do not intersect).

10. Draw \( \overrightarrow{AB} \) intersecting \( \overrightarrow{CD} \):
- Solution: Draw a new line \( \overrightarrow{AB} \) that crosses \( \overrightarrow{CD} \) at a single point.

11. Draw \( \overrightarrow{YZ} \) intersecting \( \overrightarrow{UV} \) and \( \overrightarrow{WX} \):
- Solution: Draw a new line \( \overrightarrow{YZ} \) that crosses both \( \overrightarrow{UV} \) and \( \overrightarrow{WX} \) at distinct points.

12. Draw \( \overrightarrow{EF} \) parallel to \( \overrightarrow{CD} \):
- Solution: Draw a new line \( \overrightarrow{EF} \) such that it is parallel to \( \overrightarrow{CD} \) (i.e., they do not intersect).

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Final Answers:

1. \( \overrightarrow{EF} \)
2. \( \overrightarrow{AB} \)
3. \( \overrightarrow{AB} \)
4. \( \overrightarrow{IJ} \)
5. \( \overrightarrow{GH} \)
6. \( \overrightarrow{KL} \)

For the drawing tasks, follow the descriptions provided above.

Boxed Final Answer:
\[
\boxed{
\begin{aligned}
1. & \ \overrightarrow{EF} \\
2. & \ \overrightarrow{AB} \\
3. & \ \overrightarrow{AB} \\
4. & \ \overrightarrow{IJ} \\
5. & \ \overrightarrow{GH} \\
6. & \ \overrightarrow{KL}
\end{aligned}
}
\]