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The practical answer is a parallelogram, which has two sets of parallel opposite sides and two sets of equal opposite angles. This includes rhombi, rectangles, and squares.

A trapezoid (trapezium) has one set of parallel opposite sides that are not equal, but may have non-parallel opposite sides equal in length (isosceles trapezoid).

Q: What is a quadrilateral with opposite sides and opposite angles?

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Parallelograms have 4 sides, it is a quadrilateral with the opposite sides parallel, and the opposite angles are congruent.4

I am a rectangle.

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 parallelogram is a quadrilateral whose opposite sides are parallel and has no right angles

Rectangle: A quadrilateral with 4 right angles, diagonals congruent/bisecting, and opposite sides congruent, BUT ADJACENT SIDES ARE NOT CONGRUENT. Rhobus: A quadrilateral with opposite congruent angles, but adjacent angles are Not congruent, perpendicular bisecting diagonals and 4 congruent sides. Square: A quadrilateral that is a rectangle and a square with 4 right angles, diagonals congruet/bisecting that ar perpendicular, and opposites sides congruent.

Related questions

A parallelogram has opposite sides and angles congruent which means of equal measure.

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.

Parallogram

If both pairs of opposite sides are the same length, and both pairs of opposite angles are the same, the quadrilateral is a parallelogram (rhombus, rectangle, or square).

rhombus

rhombus. The rhombus is a quadrilateral with all sides equal in length. It is also a parallelogram, so opposite sides are parallel and equal in length, and opposite angles are equal.

A general quadrilateral.

square

Parallelograms have 4 sides, it is a quadrilateral with the opposite sides parallel, and the opposite angles are congruent.4

Its a non-planar quadrilateral

Square

I am a rectangle.