Parallel, Perpendicular and intersecting lines worksheet | Live ... - Free Printable

Let's solve each part of the worksheet step by step and identify whether the given pairs of lines are parallel, perpendicular, or intersecting.

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🔹 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.

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Now let’s analyze each pair:

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1.

```
<------------------>
<------------------>
```
✔ These two lines are horizontal, going in the same direction, and are equally spaced. They never meet.

➡️ Answer: Parallel

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2.

```
↑
←———→
↓
```
This shows one horizontal line and one vertical line crossing each other at the center.

They intersect at a right angle (90°).

➡️ Answer: Perpendicular

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3.

```
↘
↘
```
Two lines slanting in the same direction (downward to the right), equally spaced, and never meeting.

Even though they're diagonal, they are parallel because they have the same slope and don’t intersect.

➡️ Answer: Parallel

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4.

```
↗
↘
```
These two lines cross each other at an angle that is not 90° — it looks like an "X" but not a square corner.

They intersect, but not at a right angle.

➡️ Answer: Intersecting

> Note: Since they are not at 90°, they are not perpendicular — just intersecting.

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5.

```
<———————>
↓
```
One horizontal line and one vertical line extending downward from the middle of the horizontal line.

They intersect at a point, forming a right angle.

So this is a perpendicular intersection.

➡️ Answer: Perpendicular

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✔ Final Answers:

1. Parallel
2. Perpendicular
3. Parallel
4. Intersecting
5. Perpendicular

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