Any parallelogram, including rhombus, but not including rectangle or square.
Such a quadrangle cannot exist. If the quadrangle's angles are equal, they must be 90 degrees.
A shape with opposite sides parallel and of the same length and four right angles is a rectangle.
You are a rectangle! Note that it does not say all of your sides are of equal length.
Yes. A parallelogram is defined as having opposite sides that are parallel and equal in length, and opposite angles that are 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.
This is a parallelogram, opposite sides are of equal length and opposite angles are equal in size.