Question

in which type of quadrilateral are consecutive angles congruent?
select the best answer from the choices provided.
a. parallelogram
b. trapezoid
c. rhombus
d. rectangle

Explanation:

• Parallelogram: Consecutive angles are supplementary (\(180^{\circ}\) sum), not necessarily congruent.
• Trapezoid: Consecutive angles between the bases are supplementary, not congruent (in non - isosceles trapezoid, and in isosceles trapezoid, base angles are congruent but consecutive non - base angles are supplementary).
• Rhombus: Consecutive angles are supplementary.
• Rectangle: All angles are \(90^{\circ}\). So, consecutive angles (which are both \(90^{\circ}\)) are congruent.

Answer:

D. rectangle