Polygon QRST is a square as it meets the criteria of a quadrilateral with equal sides (QR = RS = ST = TQ), making it a Quadrilateral, rectangle, rhombus, and square.
The given information suggests that the polygon QRST is a square. To justify this:
1. Quadrilateral: QRST has four sides, making it a quadrilateral.
2. Rectangle: A square is a type of rectangle with all sides equal. Since QRST has equal sides (QR = RS = ST = TQ), it qualifies as a rectangle.
3. Rhombus: A square is also a type of rhombus due to equal sides.
4. Square: All sides of QRST are equal (QR = RS = ST = TQ), and opposite angles are right angles, confirming that QRST is a square.
So, the correct choices are:
- Quadrilateral
- Rectangle
- Rhombus
- Square