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.
The shape that fits this description is a cylinder. A cylinder has curved surfaces and no flat faces with parallel or perpendicular edges, yet its circular bases are parallel to each other, and the edges around the circumference can be considered to be perpendicular to the axis of the cylinder. Thus, while it lacks traditional faces with parallel or perpendicular edges, it still contains elements that exhibit these characteristics.
square
A shape that has two parallel lines and no perpendicular lines is a trapezoid, specifically an isosceles trapezoid. In this shape, one pair of opposite sides is parallel, while the other pair is not perpendicular to the parallel sides. This creates a unique geometry without right angles. Another example could be a parallelogram, which also has two pairs of parallel sides but does not necessarily have any perpendicular lines.
Hexagon.
A shape that has 2 parallel lines and 4 perpendicular lines is a rectangle. In a rectangle, the opposite sides are parallel, while the adjacent sides are perpendicular to each other. Therefore, a rectangle fits the description of having two sets of parallel lines and four right angles formed by the perpendicular lines.
Trapizium
A right angle triangle.
A hexagon.
trapezoid
No anwser impossible