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Parallel (geometry)

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We can see that lines a and b are parallel because the angles between the lines and an intersecting line are the same.

Parallel is a term in geometry and in everyday life that refers to a property of lines or planes. Parallel lines or planes are next to each other, but never touch each other. This means they never intersect at any point. If two lines [math]\ell_1[/math] and [math]\ell_2[/math] are parallel, then we describe this by writing [math]\ell_1 \parallel \ell_2[/math].[1][2] The slopes of parallel lines are always equal.

Even if these two line segments were extended to infinity, there would never be a point of intersection between the two of them. In fact, two parallel lines in the two-dimensional plane are always a fixed distance apart.[3]


Construction parallele.gif

Related pages


  1. "List of Geometry and Trigonometry Symbols" (in en-US). 2020-04-17. 
  2. Weisstein, Eric W.. "Parallel" (in en). 
  3. "Perpendicular and Parallel".