An octagon
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It has parallel sides, but not perpendicular.
Parallel sides do not intersect. Perpendicular sides intersect at a right angle.
Yes the 4 corners of a rectangle are perpendicular to each other and its opposite sides are parallel to each other.
square
By definition, a parallelogram two separate pairs has parallel sides. The only type of parallelogram that has perpendicular sides is a rectangle. All others have non-perpendicular sides.