No but it does have an horizontal line of symmetry
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In 2D geometry, that is the definition of parallel lines. Two non-intersecting lines are indeed parallel.
No
parallel :D
In 2-dimensional space they must be parallel. In 3-d space they be parallel or skew lines I believe.
No: lines can be parallel and two (or more) rectangles in 3-d space can be parallel but a rectangle, by itself, cannot be parallel.