geometry

Show that parallel lines are equidistant everywhere.

Parallel lines are any two lines, both in the same plane, that never meet, and, by definition, remain equidistant from one another.
 
Another way to prove they are equidistant everywhere is to look at their standard equations. They will have the same slope, and that proves that they would never meet. This is also a shortcut to discovering if lines are parallel or not.
 
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