No they dont touch.
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Parallel lines are like this / / / / / / THEY NEVER TOUCH AND ARE OPPOSITE
Parallel is lines that never touch so if the lines never touch it is parallel but if so then it is perpendicular.
two lines that do not touch each other
Unless they are the exact same lines, no. Parallel lines do not touch. If two lines have the same intercept value, they share a point, and therefore touch.
parallel lines never touch, never get any closer or any further apart. tangent lines touch at one point