square
Any parallelogram, including rhombus, but not including rectangle or square.
Rhombus!
Such a quadrangle cannot exist. If the quadrangle's angles are equal, they must be 90 degrees.
You are a rectangle! Note that it does not say all of your sides are of equal length.
They are the pairs of sides which are parallel.
Yes. A parallelogram is defined as having opposite sides that are parallel and equal in length, and opposite angles that are equal.
A Rhombus
The description fits a square or a rhombus. In a square, all sides are of equal length, opposite sides are parallel, and all angles are equal (90 degrees). In a rhombus, all sides are also of equal length and opposite sides are parallel, but the angles are not necessarily equal, as they can vary while remaining equal in opposite pairs.
A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length, and opposite angles that are equal. Two ways to describe a parallelogram could be as a shape with opposite sides that are both parallel and equal in length, or as a shape with opposite angles that are equal.
square
A shape with opposite sides parallel and of the same length and four right angles is 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.