What are Perpendicular Lines?
Perpendicular Lines means the lines that intersect each other at an angle equal to 90 degrees i.e. if two lines meet at a right angle they are called Perpendicular lines. Take the figure added below here, the line l and line m intersect each other at point O and the angle made by them is 90 degrees.
Thus, we can say that l is a line perpendicular to m line or line m is Perpendicular to line l. We represent this condition as, l ⊥ m. Now any line parallel to line l is perpendicular to the line m. The shortest distance between the point and the line is always the perpendicular distance between them.
Note: Not all the intersecting lines are perpendicular lines but all the perpendicular lines are intersecting lines.
Perpendicular Sign
Perpendicular lines are represented using the symbol, ‘⊥‘. If lines l and m are perpendicular to each other, i.e. they intersect each other at 90 degrees then they are called perpendicular lines and they are represented as, l ⊥ m. The point of intersection is called the foot of the perpendicular.
Perpendicular Lines
Perpendicular Lines in Mathematics are pairs of lines that always intersect each other at right angles, i.e. perpendicular lines are always intersecting lines that intersect at 90°. The perpendicular lines are readily seen by us, the corners of the walls, the corners of the desk, and others represent the parallel line. For perpendicular lines, we say that they intersect each other at right angles. The shortest distance between two lines is given using the perpendicular distance between them, i.e. the perpendicular line between two points gives the shortest distance between them.
In this article, we will learn about Perpendicular Lines, their properties, and others in detail.
Table of Content
- What are Perpendicular Lines?
- Properties of Perpendicular Lines
- Slope of Perpendicular Lines
- Perpendicular Lines Formula
- How to Draw Perpendicular Lines?
- Perpendicular Line Equation