A quadrilateral is a ____ if and only if one pair of opposite sides are parallel and the other pair of opposite sides are congruent.

Choices:

Kite, Parallelogram, Rhombus, Square, or rectangle

What is a parallelogram?

A quadrilateral is a Parallelogram if and only if one pair of opposite sides are parallel and the other pair of opposite sides are congruent.

To determine which option is correct, we need to understand the different types of quadrilaterals and their properties.

A kite is a quadrilateral with two pairs of adjacent sides that are congruent. However, it does not have the property of having one pair of opposite sides parallel.

A parallelogram is a quadrilateral with both pairs of opposite sides parallel. However, it does not necessarily have congruent sides.

A rhombus is a quadrilateral with all sides congruent. However, it does not necessarily have parallel opposite sides.

A square is a quadrilateral with all sides congruent and all angles right angles. It possesses both pairs of opposite sides being parallel and having congruent sides, making it a possible answer.

A rectangle is a quadrilateral with all angles as right angles. It possesses both pairs of opposite sides being parallel, but it doesn't guarantee that all sides are congruent, so it may not be the correct answer.

Based on these explanations, the correct answer that fulfills the given conditions is a Square.