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A Quadrilateral Kite!
If a set of equal sides are adjacent, then the quadrilateral is a "kite" shape. If a set of equal sides are opposite, then the quadrilateral is a parallelogram.
A kite is a quadrilateral with two pairs of adjacent congruent sides. The angles between the unequal sides are equal.
A General Quadrilateral
It is not possible for a quadrilateral in Euclidean plane geometry to have no equal angles and still have its opposite sides parallel.It's possible for a quadrilateral to have no equal angles and two of its sides parallel (opposite ones, obviously; adjacent sides can't possibly be parallel). That would be a trapezoid.
An impossibility. By definition a quadrilateral with 4 congruent sides must have congruent adjacent angles.
All quadrilaterals apart from rectangles. Even parallelograms have adjacent angles that are not equal.
A quadrilateral with 4 right angles and opposite sides that are parallel can be either a rectangle if the adjacent sides are of different length or a square if the adjacent sides are of the same length.
A quadrilateral with four sides of equal length is called a rhombus. In addition to having equal side lengths, a rhombus also has opposite angles that are equal and adjacent angles that are supplementary. If all angles are right angles, it is specifically a square, which is a special type of rhombus.
your mom, and your cousin
A 'KITE' ; two adjacent sides may be of equal length. A parallelogram has two pairs of equal and parallel sides.
It's impossible for a quadrilateral to have no equal sides and have right angles.