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Difference between tangent and parallel lines?
parallel lines never touch, never get any closer or any further apart. tangent lines touch at one point
Are parallel lines diagonal?
They can be as long as the don't intersect or touch at any point.
What are two lines called that are the same distance apart at any point?
They are parallel lines
What lines are parallel?
Parallel lines are lines which share the same gradient. In Euclidean geometry (the geometry used in standard mathematics and day-to-day physics), parallel lines will never meet at a point, but will share every point along their (infinite) lengths if 1 point is observed to coincide with both. The parallel postulate, which is a geometric axiom of Euclid's geometry, defines these properties. However, by moving into elliptical and hyperbolic geometries, parallel lines can be allow to intersect at points (where parallel lines are defined as 2 lines having the same gradient), whilst still retaining logically consistent geometrical definitions. Parallel lines are the opposite of perpendicular lines which meet at right angles.
Will perpendular lines on the same plane ever touch?
Of course. Any lines in the same plane (if extended far enough) that are not parallel must intersect.
