Rhombus
A parallelogram.
They are equal and parallel.
Equal and parallel
A parallelogram.
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.
Equal and parallel
A parallelogram.
They are equal and parallel.
A quadrilateral with opposite sides equal and parallel
rhombus
A Rectangle
A parallelogram.
A square or a rectangle
A parallelogram.
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.
To determine if a quadrilateral is a parallelogram, you can check if either pair of opposite sides is parallel and equal in length, or if the diagonals bisect each other. Additionally, if both pairs of opposite angles are equal, or if one pair of opposite sides is both parallel and equal in length, then the quadrilateral is a parallelogram. If any of these conditions are met, you can confidently classify the quadrilateral as a parallelogram.
quadrilateral