Question

quadrilateral rstu has one pair of opposite parallel sides and one pair of opposite congruent sides as shown. based on the given information, which statement best explains whether the quadrilateral is a parallelogram? it cannot be determined from the information given. it is not a parallelogram because the congruent sides cannot be parallel. it is not a parallelogram because the parallel sides cannot be congruent. it is a parallelogram based on the single opposite side pair theorem.

Explanation:

A parallelogram is defined as a quadrilateral with both pairs of opposite sides parallel. Here, only one pair of opposite sides is given as parallel and one pair as congruent. There is no information about the other pair of sides (whether they are parallel or not). The single - opposite - side - pair theorem (if a quadrilateral has one pair of opposite sides that are both parallel and congruent, then it is a parallelogram) is not applicable here because we don't know if the congruent sides are parallel. Also, the statements about congruent sides not being parallel or parallel sides not being congruent are not valid general rules.

Answer:

It cannot be determined from the information given.