No but parallel lines have a constant distance between them
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The shortest distance between two paralle lines is the length of the line that is perpendicular to both line and intersects both.
If the distance between the lines is constant then they are parallel.
parallel lines - they are parallel when the distance between them remains constant
Parallel lines never intersect and remain equal distance from each other but perpendicular lines intersect at right angles
Any line that is not parallel to the given lines. The transversal that contains the shortest distance between the two parallel lines, is perpendicular to them.