Question

10
in parallelogram pqrs, ∠ q is a right angle. is pqrs a rectangle?
a. cannot be determined
b. yes
c. no

Explanation:

In a parallelogram, opposite angles are equal and consecutive angles are supplementary. If one angle (∠Q) is a right angle (90°), then its consecutive angles will also be 90° (since consecutive angles in a parallelogram are supplementary: \(180^{\circ}- 90^{\circ}=90^{\circ}\)), and opposite angles will also be 90°. A parallelogram with all angles equal to 90° is a rectangle. So, parallelogram PQRS with ∠Q as a right angle is a rectangle.

Answer:

B. Yes