Question

question 1 of 10
in parallelogram pqrs, ∠q is a right angle. is pqrs a rectangle?
a. no
b. cannot be determined
c. yes

Explanation:

Step1: Parallelogram angle properties

Opposite angles equal; consecutive angles supplementary.

Step2: Opposite angle of ∠Q

∠S=∠Q=90°.

Step3: Consecutive angle to ∠Q

∠P=180°-∠Q=90°.

Step4: Opposite angle of ∠P

∠R=∠P=90°.

Step5: All angles are right angles

Parallelogram with 4 right angles is rectangle.

Answer:

C. Yes