Question

Choose ALL answers that describe the polygon OPQR if overline OP≌ overline PQ≌ overline QR≌ overline RO, m∠ O=90°, m∠ P=90°, m∠ Q=90° , and m∠ R=90°.

a. Parallelogram
b. Quadrilateral
c. Rectangle
d. Rhombus
e. Square
f. Trapezoid

Answer 1

The polygon OPQR is a rectangle, quadrilateral, and parallelogram. It can also be a square or a rhombus based on certain conditions.

Step-by-step explanation:

The polygon OPQR with the given conditions is a rectangle and a quadrilateral. It can also be classified as a parallelogram because opposite sides are parallel. Since all angles measure 90°, it is a rectangle. If the sides are also congruent, it would be a square. If the diagonals are congruent, it would be a rhombus. Therefore, the options that apply are c. Rectangle, d. Rhombus, and e. Square.