A square and a rectangle have perpendicular and parallel lines. The two side lines extending upwards from the base line are perpendicular to the base line. The line extending from each of the side lines across the top is perpendicular to the side lines. The top line is also parallel to the base line, and the side lines are also parallel to each other.
shape no pairs of perpendicular sides
A rhombus has parallel lines but no perpendicular lines.
square
Hexagon.
No anwser impossible
A hexagon.
trapezoid
a Kite
parallelogram
A right angle triangle.
Trapizium
A cuboid would fit the given description