That's a rectangle.
A parallelogram
A right triangle fits. One 90 degree angle, 2 acute angles, and you can make the sides as long or short as your heart desires.
trapezoid
That's an isosceles right triangle. The two acute angles are both 45 degrees. The two shorter sides both have the same length, and the longest side is 41.421% longer than either of the short ones.
The quadrilateral you are describing is a scalene trapezoid. It has two sides of unequal lengths (the long sides) and two other sides of equal, shorter lengths (the short sides). This shape does not exhibit reflective symmetry and lacks right angles, fitting your criteria perfectly.
A parallelogram
A right triangle fits. One 90 degree angle, 2 acute angles, and you can make the sides as long or short as your heart desires.
Without knowing their arrangement or the angles involved, all you can say is that it is a quadrilateral (4 sides). If the long sides are opposite, parallel, and equal in length -- and if the short sides are opposite, parallel, and equal in length -- you have a parallelogram. If all of the angles of the parallelogram are right angles, you have a rectangle.
trapezoid
That's an isosceles right triangle. The two acute angles are both 45 degrees. The two shorter sides both have the same length, and the longest side is 41.421% longer than either of the short ones.
The quadrilateral you are describing is a scalene trapezoid. It has two sides of unequal lengths (the long sides) and two other sides of equal, shorter lengths (the short sides). This shape does not exhibit reflective symmetry and lacks right angles, fitting your criteria perfectly.
Not sure that it has a name. Start with a square standing on a vertex. Cut of the top and bottom vertices with horizontal lines. The shape will resemble one isosceles trapezium sitting on its short side and supporting an inverted congruent isosceles trapezium.
centriole
(: Centriole :)
Some trapezoids have 2 acute angles, 2 obtuse angles, 1 pair of parallel lines, 1 short side, and 1 long side.
it depends on the engine and the shape of the blade.
Rectangle, with the short sides at the top and bottom.