Let's solve the problem step by step.
We are asked to identify each pair of lines as
parallel,
perpendicular, or
intersecting.
---
Definitions:
-
Parallel lines: Lines that never meet and are always the same distance apart. They have the same slope.
-
Perpendicular lines: Lines that intersect at a
right angle (90°).
-
Intersecting lines: Lines that cross each other at any angle (not necessarily 90°). This includes perpendicular lines, but in this context, we use "perpendicular" only when the angle is exactly 90°.
Now let’s analyze each pair:
---
1.
```
<------------------->
<------------------->
```
- Two horizontal lines, same direction, equal distance apart, never meet.
-
✔ Parallel
>
Answer: Parallel
---
2.
```
↑
←———→
↓
```
- One vertical line and one horizontal line crossing each other.
- They form a cross shape → they meet at a
right angle (90°).
-
✔ Perpendicular
>
Answer: Perpendicular
---
3.
```
↗
↘
```
- Two diagonal lines going in the same direction (both slanted right).
- They are not crossing; they are equidistant and run in the same direction.
- Even though they are slanted, they don't intersect and maintain constant distance.
-
✔ Parallel
>
Answer: Parallel
---
4.
```
↖
↗
```
- Two lines crossing each other at an angle that is
not 90°.
- They intersect, but not at a right angle.
-
✔ Intersecting
>
Answer: Intersecting
---
5.
```
<———————>
↓
```
- One horizontal line and one vertical line meeting at a point.
- They form a T-shape, which means they meet at a
right angle.
-
✔ Perpendicular
>
Answer: Perpendicular
---
Final Answers:
1.
Parallel
2.
Perpendicular
3.
Parallel
4.
Intersecting
5.
Perpendicular
✔ These are the correct classifications based on the definitions.
Parent Tip: Review the logic above to help your child master the concept of parallel intersecting and perpendicular lines worksheet.
