# Parallel, Perpendicular, and Intersecting Lines

In this article, you will get better acquainted with the lines and their features.

A sequence of points linked via a straight path is described as being a line.

Lines are typically characterized by \(2\) points. They may be indicated with \(1\) letter in the lower case or via \(2\) capital letters.

A line doesn’t have any thickness and can be extended forever in each direction. A line’s length is not defined and it may include infinite quantities of points. See the subsequent figure to understand how lines and points differ.

## Kinds of Lines

Simply like the various kinds of points, there are also distinct kinds of lines that you can easily distinguish based on their distinctive properties.

**Horizontal Lines**– Lines mapped from left-to-right or right-to-left and which are parallel to the \(x\)-axis in a plane are known as horizontal lines.**Vertical Lines**– Lines mapped from up to down or down to up and are parallel to the \(y\)-axis in a plane are known as vertical lines.**Intersecting Lines**– Whenever \(2\) lines cross one another and meet up at a point, they’re called intersecting lines. The point where they meet up is called the point of intersection.

## Intersecting Lines Properties

The subsequent points show the characteristics of intersecting lines that assist us in identifying them with ease.

- Intersecting lines link at a single point, and they can’t meet up at more than a single point.
- Intersecting lines meet up with one another at any angle that’s bigger than \(0°\) and lower than \(180°\).

**Perpendicular Lines**– Whenever \(2\) lines intersect precisely at \(90°\), they’re called perpendicular lines.**Parallel Lines**–\(2\) lines are understood to be parallel if they don’t intersect at any point as well as they are equidistant.

## Non-intersecting Lines Properties

The subsequent points show the characteristics of non-intersecting lines that assist us in identifying them with ease.

- non-intersecting lines don’t ever meet up and they don’t share any kind of common point. They’re additionally called parallel lines.
- The gap in-between non-intersecting lines is constantly equal.
- The size of any common perpendicular drawn in between the \(2\) non-intersecting lines is constantly equal.

## Hints on Points and Lines

- Whenever \(2\) distinct points are linked they create a line.
- A line goes in two directions forever.
- Parallel lines don’t intersect one another.
- The line which intersects with one another at \(90°\) are called perpendicular lines.
- \(2\) or more points that lie on one straight line are called collinear points.

### Parallel, Perpendicular, and Intersecting Lines – Example 1:

State whether the given pair of lines are parallel, perpendicular, or intersecting.

**Solution:**

These two lines cross each other and intersect at \(90°\) so they are both intersecting and perpendicular to each other.

### Parallel, Perpendicular, and Intersecting Lines – Example 2:

State whether the given pair of lines are parallel, perpendicular, or intersecting.

**Solution:**

These two lines do not intersect at any point so they are parallel.

## Exercises for Parallel, Perpendicular, and Intersecting Lines

1)

2)

## Answers

- \(\color{blue}{Intersecting}\)
- \(\color{blue}{Parallel}\)

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