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Because they never move closer to each other; they are always the exact same distance apart.

They don't meet by definition. If the lines in question ever met you would have to come up with a new word to describe them.

Basically, the word parallel is an agreement between everybody practicing Euclidian geometry. We agree to call two lines parallel if they meet the following two criteria:

1. A plane exists on which both lines can exist

2. They never meet

If only #1 is met the lines are called "coplanar" (actually it can be shown that any two lines that do meet must be coplanar)

If only #2 is met the lines are called "skew"

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9y ago

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