Final answer:
The polygon MNOP is a parallelogram, quadrilateral, rectangle, rhombus, and square.
Step-by-step explanation:
The properties described in the question suggest that the polygon MNOP is a parallelogram and a quadrilateral. Since all the sides are equal and the opposite angles are equal, it is also a rectangle. Furthermore, since all the sides are equal, it is also a rhombus. Finally, if all the angles are right angles, it is a square. Therefore, the correct answers are: parallelogram, quadrilateral, rectangle, rhombus, and square.