Question

can the following quadrilateral be proven to be a parallelogram based on the given information? explain. choose the correct answer below. a. yes. it can be proven because both pairs of opposite angles are congruent. b. yes. it can be proven because both pairs of opposite sides are congruent. c. no. it cannot be proven because the same pair of opposite sides are not congruent and parallel. d. no. it cannot be proven because at least two of the adjacent angles are not congruent to each other.

Explanation:

According to the properties of a parallelogram, one of the sufficient conditions for a quadrilateral to be a parallelogram is that both pairs of opposite sides are congruent. In the given figure, we can observe that the marks on the sides indicate that both pairs of opposite sides are congruent.

Answer:

B. Yes. It can be proven because both pairs of opposite sides are congruent.