Since two parallel lines never intersect, they cannot be perpendicular to each other because perpendicular lines intersect and form angles of 90⁰.
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As far as we know, two lines can be perpendicular, or they can be parallel, but they can't be both.
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the parallel lines never intersect each other but they both intersect the line they are perpendicular to
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Parallel lines run in the same direction. If they are intersected by one line and that line is perpendicular to both, then it proves that the lines run parallel to each other.