Perpendicular Lines
What are the Perpendicular Lines?
If two intersecting lines intersect each other at right angles, i.e. at 90 degrees then these two lines are called perpendicular lines.
What are Parallel & Perpendicular Lines?
Parallel lines are the lines that do not meet each other in the 2-D plane. The distance between two parallel lines is always constant. Whereas if two lines meet each other at 90 degrees then these lines are called perpendicular lines.
Are Intersecting Lines Always Perpendicular?
No, not all intersecting lines are always perpendicular, they may or may not be perpendicular. The intersecting lines can meet at different angles.
What is condition for Slope of Perpendicular Lines?
Suppose the slope of two lines are m1 and m2 then the condition of the slopes of two perpendicular lines is, m1.m2 = -1
How many Perpendicular Lines can be Drawn to a line?
We can draw any number of perpendicular lines to a line, i.e. we can have infinite perpendicular lines to any line.
When are Two Lines Perpendicular?
Two lines are perpendicular if they intersect at 90°, i.e. perpendicular lines always intersect at the right angle.
What is a Perpendicular Triangle?
A triangle that has an angle equal to 90° is called the perpendicular triangle. It is also called the Right-Angled Triangle.
What are some Perpendicular Shapes?
Some Shapes that are called the Pependicular Shapes are the shapes that have at least one perpendicular in them. Various examples of the perpendicular shapes are, Square, Rectangle, Right-Angled Triangle
What are Perpendicular Angles?
The angles that are equal to 90° are called perpendicular angles. The other name of the perpendicular angles is Right Angles.
What is the Perpendicular Symbol?
The symbol or sign that represents perpendicular is, ⟂. We use this symbol to show if two lines are perpendicular. Such as, if it is written A⟂B, where A and B are two lines, then line A is perpendicular to line B and vice-versa.
How do you Identify which lines are Perpendicular?
If the angle between two lines is 90°. Then we can say that these two lines are perpendicular. If the slope of the two lines are given as, m1, m2 then we use the perpendicular line formula to find wether they are perpendicular or not. The perpendicular line formula is, m1.m2 = -1
How to Find the Slope of the Perpendicular Lines?
The slope of the perpendicular lines can be easily calculated using the slope formula. Suppose we are given a line then we first convert it in the standard form and then use the slope formula to find the slope. The slope formula is, m = -b/a, where a is the coefficient of x and b is the coefficient of y.
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