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Math Lesson 14.4.1 - Parallel Lines

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Welcome to our Math lesson on Parallel Lines, this is the first lesson of our suite of math lessons covering the topic of Parallel, Perpendicular and Intersecting Graphs, you can find links to the other lessons within this tutorial and access additional Math learning resources below this lesson.

Parallel Lines

In geometry, parallel lines represent those lines that go in the same direction. Obviously, the lines must not go along the same coordinates, as in this case, they would overlap and we would not be able to distinguish them from each other.

The main feature of parallel lines is that they don't have any common point. In other words, parallel lines extend to infinity on both sides but they never touch each other; moreover, parallel lines always have the same distance separating them. Look at the figure below.

Math Tutorials: Parallel, Perpendicular and Intersecting Graphs Example

The lines L1 and L2 are parallel, as they go in the same direction without touching each other and keeping the same distance d between them.

For now, we are interested in studying the parallel lines using an algebraic approach. As for the geometric approach, there will be separate chapters later on in this math course when we will explain them extensively.

More Parallel, Perpendicular and Intersecting Graphs Lessons and Learning Resources

Linear Graphs Learning Material
Tutorial IDMath Tutorial TitleTutorialVideo
Tutorial
Revision
Notes
Revision
Questions
14.4Parallel, Perpendicular and Intersecting Graphs
Lesson IDMath Lesson TitleLessonVideo
Lesson
14.4.1Parallel Lines
14.4.2What is the Condition for Two (or more) Lines to be Parallel?
14.4.3Perpendicular Lines
14.4.4Finding the Intercept of Two Perpendicular Graphs
14.4.5Intersecting Lines
14.4.6Finding the Distance between Parallel Lines

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  2. Linear Graphs Math tutorial: Parallel, Perpendicular and Intersecting Graphs. Read the Parallel, Perpendicular and Intersecting Graphs math tutorial and build your math knowledge of Linear Graphs
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  4. Linear Graphs Practice Questions: Parallel, Perpendicular and Intersecting Graphs. Test and improve your knowledge of Parallel, Perpendicular and Intersecting Graphs with example questins and answers
  5. Check your calculations for Linear Graphs questions with our excellent Linear Graphs calculators which contain full equations and calculations clearly displayed line by line. See the Linear Graphs Calculators by iCalculator™ below.
  6. Continuing learning linear graphs - read our next math tutorial: Line Segments

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