Question

1. choose all answers that describe the polygon

stuv if st = tu = uv = vs, m∠s = 90°,
m∠t = 90°, m∠u = 90°, and m∠v = 90°.
□ parallelogram
□ quadrilateral
□ rectangle
□ rhombus
□ square

Explanation:

Step1: Analyze the properties of quadrilaterals

A quadrilateral is a four - sided polygon. Since \(ST = TU=UV = VS\), all four sides are equal. And \(m\angle S=m\angle T = m\angle U=m\angle V = 90^{\circ}\)

Step2: Recall the definitions of different quadrilaterals

• A parallelogram has opposite sides equal and parallel. A quadrilateral with all four sides equal and all angles \(90^{\circ}\) satisfies the properties of a parallelogram (opposite sides are equal and parallel as adjacent sides are equal and angles are \(90^{\circ}\)).
• A rectangle is a parallelogram with all angles equal to \(90^{\circ}\). Our figure has all angles \(90^{\circ}\) and is a parallelogram.
• A rhombus is a parallelogram with all sides equal. Our figure has all sides equal and is a parallelogram.
• A square is a parallelogram with all sides equal and all angles \(90^{\circ}\).

Answer:

Parallelogram, Rectangle, Rhombus, Square, Quadrilateral