Which shape has opposite sides that are congruent and parallel?

The shape that has opposite sides that are congruent and parallel is a parallelogram. This is a key characteristic of parallelograms, defining them as quadrilaterals where each pair of opposite sides is both equal in length and runs parallel to each other. Additionally, in a parallelogram, the opposite angles are also congruent, and the diagonals bisect each other, which further emphasizes the symmetry and properties of the shape.

In contrast, triangles do not have opposite sides since they only possess three sides, making it impossible for any sides to be both opposite and congruent in the same way. Hexagons, while they can have congruent sides, do not necessarily have opposite sides that are parallel; they can have varying lengths and angles. A cylinder, being a three-dimensional shape, does not fit the criteria for having opposite sides as it has curved surfaces instead of flat sides. Thus, the parallelogram distinctly satisfies the criteria of having opposite sides that are both congruent and parallel, making it the correct choice.