Problem Analysis
The task involves identifying the relationships between lines in each given diagram. The relationships to consider are:
1.
Parallel Lines: Lines that never intersect, no matter how far they are extended.
2.
Intersecting Lines: Lines that cross each other at a single point.
3.
Perpendicular Lines: Lines that intersect at right angles (90 degrees).
Solution
#### Part 1: Write "parallel" or "not parallel" for each.
We need to determine if the lines in each diagram are parallel or not.
1.
Diagram 1:
- Lines \( \overleftrightarrow{ST} \) and \( \overleftrightarrow{UV} \):
- These lines appear to be parallel because they do not intersect and maintain a constant distance apart.
-
Answer: Parallel
2.
Diagram 2:
- Lines \( \overleftrightarrow{WX} \) and \( \overleftrightarrow{YZ} \):
- These lines appear to be parallel because they do not intersect and maintain a constant distance apart.
-
Answer: Parallel
3.
Diagram 3:
- Lines \( \overleftrightarrow{JK} \) and \( \overleftrightarrow{LM} \):
- These lines intersect at a point, so they are not parallel.
-
Answer: Not parallel
#### Part 2: Write "parallel," "intersecting," or "perpendicular" for each.
We need to determine the relationship between the lines in each diagram.
4.
Diagram 4:
- Lines \( \overleftrightarrow{NO} \) and \( \overleftrightarrow{PQ} \):
- These lines intersect at a point.
-
Answer: Intersecting
5.
Diagram 5:
- Lines \( \overleftrightarrow{FG} \) and \( \overleftrightarrow{HI} \):
- These lines intersect at a point.
-
Answer: Intersecting
6.
Diagram 6:
- Lines \( \overleftrightarrow{BC} \) and \( \overleftrightarrow{DF} \):
- These lines appear to be parallel because they do not intersect and maintain a constant distance apart.
-
Answer: Parallel
7.
Diagram 7:
- Lines \( \overleftrightarrow{SU} \) and \( \overleftrightarrow{VT} \):
- These lines intersect at a right angle.
-
Answer: Perpendicular
8.
Diagram 8:
- Lines \( \overleftrightarrow{AB} \) and \( \overleftrightarrow{CD} \):
- These lines appear to be parallel because they do not intersect and maintain a constant distance apart.
-
Answer: Parallel
9.
Diagram 9:
- Lines \( \overleftrightarrow{JK} \) and \( \overleftrightarrow{LM} \):
- These lines intersect at a right angle.
-
Answer: Perpendicular
Final Answers
1. Parallel
2. Parallel
3. Not parallel
4. Intersecting
5. Intersecting
6. Parallel
7. Perpendicular
8. Parallel
9. Perpendicular
\[
\boxed{
\begin{array}{ll}
1. & \text{Parallel} \\
2. & \text{Parallel} \\
3. & \text{Not parallel} \\
4. & \text{Intersecting} \\
5. & \text{Intersecting} \\
6. & \text{Parallel} \\
7. & \text{Perpendicular} \\
8. & \text{Parallel} \\
9. & \text{Perpendicular} \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of parallel lines and perpendicular lines worksheet.
