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What is the symbol for parallel lines?

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Answer: Parallel lines are two lines in the same plane that never intersect. Parallel lines are always the same distance apart. Parallel lines are denoted by the symbol

A line is indeed not parallel to its own, according to Euclidean geometry principles, because it contacts itself endlessly often. Some writers, however, let a line to just be parallel to itself, such that “is parallel to” creates an equivalence relation.