Summary – Parallel Lines
Parallel lines are lines on a plane that never intersect, remaining equidistant from each other indefinitely and often considered to meet only at infinity. These lines are a fundamental concept in geometry, differentiated from intersecting and perpendicular lines. Key characteristics of parallel lines include their consistent slope and the maintenance of a constant distance between them. When a transversal intersects parallel lines, it generates specific angle relationships, including equal alternate interior and exterior angles, supplementary consecutive interior angles, and equal corresponding angles.
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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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