1. **State the problem:** We have a polygon VWXY with sides VW = XY, WX = YV, and all interior angles equal to 90°. 2. **Identify the polygon type:** Since all angles are 90°, VWXY is a quadrilateral with four right angles. 3. **Check side relationships:** VW = XY and WX = YV means opposite sides are equal in length. 4. **Use polygon definitions:** - A **parallelogram** has opposite sides equal and parallel. - A **rectangle** is a parallelogram with four right angles. - A **rhombus** has all sides equal. - A **square** is a rectangle and rhombus (all sides equal and four right angles). - A **trapezoid** has at least one pair of parallel sides. 5. **Analyze given info:** - Opposite sides equal and all angles 90° imply VWXY is a rectangle. - Since only opposite sides are equal, not all sides, it is not a rhombus or square. - It is a parallelogram because opposite sides are equal and parallel. - It is a quadrilateral by definition. - It is not necessarily a trapezoid because both pairs of opposite sides are parallel, not just one. **Final answers:** Parallelogram, Quadrilateral, Rectangle