# 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 hasn’t any thickness and can be extended forever in each direction. A line’s length is not defined and they 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 the 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.
• Line which intersects with one another at $$90°$$ are called perpendicular lines.
• $$2$$ or more points which 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)

1. $$\color{blue}{Intersecting}$$
2. $$\color{blue}{Parallel}$$

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