Parallel Lines Properties
Below are some of the important properties of parallel lines:
- Two or more lines can be considered parallel if, even on extending the lines, there is no chance that the lines will meet or cut each other (intersect each other).
- Parallel lines have the special property of maintaining the same slope.
- The distance between Parallel lines always remains the same. Note: Here, the lines which are considered to be parallel need not be equal in their length, but a mandatory condition for lines to be considered parallel is the distance between the lines remains the same, even on the extension of the lines.
- Parallel lines are denoted by the Pipe symbol (||). For example: If two lines A and B are parallel to each other. They can be represented to be parallel to each other by A || B.
Parallel Lines | Definition, Properties & Formula
Parallel Lines in Maths are the lines in a plane that never cross or intersect at any point, remaining constantly equidistant from one another. These lines run alongside each other indefinitely without ever meeting, although it is sometimes said they converge at infinity. Essentially, parallel lines are lines that do not intersect.
Parallel lines are non-intersecting lines, and they meet at infinity. Broadly lines can be divided into Parallel Lines, Intersecting Lines, and Perpendicular lines.
In this article, we will learn about parallel lines, their properties, axioms, theorems, and detailed examples.
Table of Content
- What are Parallel Lines?
- Parallel Lines Definition
- Parallel Lines Symbol
- Parallel Lines Formula
- Parallel Lines and Transversal
- Angles in Parallel Lines
- Properties of Parallel Lines
- How Do You Know If Lines Are Parallel?
- Parallel Lines Equation
- Parallel Lines Axioms and Theorems
- Parallel Lines are Consistent or Inconsistent
- Parallel Lines Applications in Real-Life
- Parallel Lines Solved Examples
- Parallel Lines Practice Problems
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