Parallel lines – Simple geometry

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Two parallel lines

Two parallel lines

Two lines are parallel if they are in the same plane but they can go on forever without ever crossing. You can test this by seeing if you can draw a third line that crosses both lines at right angles (it is perpendicular to them).

Parallel lines can be close together or far apart, but if you connect them with a lot of perpendicular lines (like a ladder), all of the rungs of the ladder will be the same length.

Two parallel lines connected by perpendicular line segments

Two parallel lines connected by perpendicular line segments

If you have two parallel line segments joined together by two other parallel line segments, that’s a rectangleTriangles have to be made of line segments that are not parallel to each other.

Two parallel planes

Two parallel planes

Two planes can also be parallel, if they would never meet no matter how far they extended in all directions. A third plane, crossing both planes at right angles, would be perpendicular to the first two. The opposite sides of a cube are examples of parallel planes.

Perpendicular lines
More about lines

Bibliography and further reading about geometry:

More about Geometry
More Easy Math home

By |2017-07-29T11:36:46+00:00July 29th, 2017|Math|0 Comments
Cite this page: Carr, K.E. Parallel lines – Simple geometry. Study Guides, July 29, 2017. Web. December 18, 2018.

About the Author:

Dr. Karen Carr is Associate Professor Emerita, Department of History, Portland State University. She holds a doctorate in Classical Art and Archaeology from the University of Michigan. Follow her on Instagram, Pinterest, or Facebook, or buy her book, Vandals to Visigoths.

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