Let's solve the worksheet step by step. The task is to classify each pair of lines as
parallel,
perpendicular, or
intersecting.
---
Definitions:
-
Parallel lines: Lines that never meet; they are always the same distance apart.
-
Perpendicular lines: Lines that intersect at a 90-degree (right) angle.
-
Intersecting lines: Lines that cross each other at any angle (not necessarily 90 degrees).
Now, let’s analyze each diagram:
---
1.
```
↗
←———————→
```
- These two lines cross at an angle that is
not 90 degrees.
- So, they are
intersecting (but not perpendicular).
✔ Answer: Intersecting
---
2.
```
↑
←———————→
```
- One line is horizontal, one is vertical.
- They cross at a right angle (90°).
✔ Answer: Perpendicular
---
3.
```
↗
↘
```
- Two lines crossing at an angle.
- The angle is
not 90 degrees.
✔ Answer: Intersecting
---
4.
```
←———————→
←———————→
```
- Two horizontal lines, same direction, no intersection.
- Always the same distance apart.
✔ Answer: Parallel
---
5.
```
←———————→
↑
```
- Horizontal and vertical lines crossing.
- Form a right angle.
✔ Answer: Perpendicular
---
6.
```
↗
↗
```
- Two lines going in the same direction, same slope.
- Never meet.
✔ Answer: Parallel
---
7.
```
↗
↘
```
- Two lines crossing at an angle.
- Not at 90 degrees.
✔ Answer: Intersecting
---
8.
```
↑
←———————→
```
- Horizontal and vertical lines crossing at a right angle.
✔ Answer: Perpendicular
---
Final Answers:
1.
Intersecting
2.
Perpendicular
3.
Intersecting
4.
Parallel
5.
Perpendicular
6.
Parallel
7.
Intersecting
8.
Perpendicular
---
✔ Summary:
-
Parallel: 4, 6
-
Perpendicular: 2, 5, 8
-
Intersecting: 1, 3, 7
Let me know if you'd like this formatted for printing or need explanations with diagrams!
Parent Tip: Review the logic above to help your child master the concept of parallel worksheet.
