Parallel (geometry)

relation used in geometry

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 and are parallel, then we describe this by writing .[1][2] The slopes of parallel lines are always equal.

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

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]

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  1. "List of Geometry and Trigonometry Symbols". Math Vault. 2020-04-17. Retrieved 2020-09-21.
  2. Weisstein, Eric W. "Parallel". Retrieved 2020-09-21.
  3. "Perpendicular and Parallel". Retrieved 2020-09-21.