Parallel Lines Practice Problems
Problem 1: Given the lines l1, l2, and l3 with slopes 5, 5, and -2 respectively, determine which lines are parallel to each other.
Problem 2: Line m is parallel to line n, and they are cut by a transversal t. If the measure of one of the alternate interior angles formed is 65∘, find the measure of the corresponding angle on the opposite side of the transversal.
Problem 3: Lines a and b are parallel, and a transversal cuts through them creating an angle of 120∘. What are the measures of the consecutive interior angles on the same side as the given angle?
Problem 4: Given the equation of a line y = 2x+3, find the equation of a line parallel to it that passes through the point (−2, 1).
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