Let's solve each part of the worksheet step by step and identify whether the given pairs of lines are
parallel,
perpendicular, or
intersecting.
---
🔹 Definitions:
-
Parallel lines: Lines that never meet (do not intersect) and are always the same distance apart. They have the same direction.
-
Perpendicular lines: Lines that intersect at a
right angle (90°).
-
Intersecting lines: Lines that cross each other at any angle (not necessarily 90°). If they form a right angle, they are also perpendicular.
---
Now let’s analyze each pair:
---
1.
```
<------------------>
<------------------>
```
✔ These two lines are
horizontal, going in the same direction, and are
equal distance apart. They
do not intersect.
➡️
Answer: Parallel
---
2.
```
↑
←———→
↓
```
This shows one
horizontal line and one
vertical line crossing each other.
They
intersect, and since horizontal and vertical lines form a
90° angle, they are
perpendicular.
➡️
Answer: Perpendicular
---
3.
```
↗
↘
```
These two lines are
slanted in the same direction (both go from top-left to bottom-right), and are
equally spaced. They do
not intersect and run in the same direction.
➡️
Answer: Parallel
---
4.
```
↘
↗
```
These two lines
cross each other at an angle that is
not 90° (they look like a "V" shape crossed).
They
intersect, but not at a right angle → so just
intersecting.
➡️
Answer: Intersecting
---
5.
```
<———————>
↓
```
One
horizontal line, and one
vertical line starting from the middle of the horizontal line and going down.
They
intersect at a point, and the angle between them is
90° (horizontal and vertical).
➡️
Answer: Perpendicular
---
✔ Final Answers:
1.
Parallel
2.
Perpendicular
3.
Parallel
4.
Intersecting
5.
Perpendicular
---
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Parent Tip: Review the logic above to help your child master the concept of perpendicular and parallel lines worksheet.
