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neither, a regular hexagon's sides hit at a 120 degree angle so they are neither parallel nor perpendicular. An irregular hexagon's can, but usually don't. In a regular hexagon (all 6 sides congruent), opposite sides are parallel.
It has parallel sides, but not perpendicular.
A trapezoid with mirror symmetry around an axis perpendicular to and bisecting the two parallel sides.
The angles between the sides that are parallel are congruent.The angles between the sides that are parallel are congruent.The angles between the sides that are parallel are congruent.The angles between the sides that are parallel are congruent.
A square's opposite sides are parallel and all the sides are congruent.