A parallelogram.
An octagon
a cross
A hexagon.
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A shape that has 2 sets of parallel sides and 4 sets of perpendicular sides is a rectangle. In a rectangle, opposite sides are both equal and parallel, while adjacent sides meet at right angles, creating perpendicular intersections. This characteristic makes rectangles a specific type of parallelogram.
You could call it a regular hexagon, especially if it is one.
Square
Not possible. The shape will either be incomplete or have intersecting lines.
Yes
any rhombus
if you think about what you just wrote you will find something interesting by defining a shape by this definition.
A human being!