Question

lin is using the diagram to prove the statement, \if a parallelogram has one right angle, it is a rectangle.\ given that efgh is a parallelogram and angle hef is right, which reasoning about angles will help her prove that angle fgh is also a right angle? a corresponding angles are congruent when parallel lines are cut by a transversal. b opposite angles in a parallelogram are congruent. c vertical angles are congruent. d the base angles of an isosceles triangle are congruent.

Explanation:

En un paralelogramo, los ángulos opuestos son congruentes. Dado que \(EFGH\) es un paralelogramo y \(\angle HEF = 90^{\circ}\), si se aplica la propiedad de que los ángulos opuestos en un paralelogramo son congruentes, se puede concluir que \(\angle FGH=\angle HEF = 90^{\circ}\).

Answer:

B. Opposite angles in a parallelogram are congruent.