Which statements prove that a quadrilateral is a parallelogram? select each correct answer. quadrilateral defg has one diagonal that bisects the other diagonal. quadrilateral defg has only one set of opposite angles that are congruent. quadrilateral defg has two sets of consecutive angles that are supplementary. quadrilateral defg has one set of opposite sides that are both congruent and parallel.

First, let's list the properties of parallelograms. *Opposite sides are congruent
*Opposite angles are congruent
*Consecutive angles are supplementary
*The diagonals of a parallelogram bisect each other.

Statement 1: This statement does not prove that the quadrilateral is a parallelogram because both diagonals have to bisect each other and not only one.

Statement 2: A parallelogram has two sets of opposite angles not only one. The statement would prove the quadrilateral is a parallelogram if it said that the quadrilateral has two sets of opposite angles that are congruent.

Statement 3: This statement is a property of a parallelogram. However, it doesn't prove that a quadrilateral is a parallelogram.

Statement 4: This statement proves that the quadrilateral is a parallelogram. If the statement, however, said that the quadrilateral has one set of opposite sides that are only congruent or only parallel, then it would not prove the quadrilateral to be a parallelogram.