The shape you are looking for is a quadrilateral. If you have a square, all angles MUST be right angles. A parallelogram can also have 4 equal sides in length and parallel sides, but a parallelogram doesn't have right angles.
Rectangle
It is a square or a rectangle
rhombus
a rectangle does not have four equal sides and its opposite sides are equal and has four right angles
trapizoid
square
Rectangle
The quadrilateral described is a rectangle. In a rectangle, opposite sides are equal and parallel, and all four angles are right angles. This definition meets the criteria of having one pair of opposite sides that are equal and parallel, along with the presence of right angles.
A parallelogram.
Quadrilaterals
Rhombus
rectangles squares
A rhombus has 4 sides of equal length, opposing parallel sides, and no right angles
A rhombus
A rhombus
a parallogram
It is a square or a rectangle