When sorting through the characteristics of quadrilaterals, students can help themselves remember by seeing their connections to each other. We begin with observations about various sample polygons and then I tell students a story about the quadrilaterals being a family to help them remember. Here's the gist of mine, add your own flair! As I go along I use cut outs of each type of shape and discuss number of parallels, types of angles, and congruence as I go along.
GrandPapa Parallelogram had some offspring who got some of his traits and some of her own special characteristic, all congruent sides: Mama Rhombus. She married Daddy Rectangle who fit in nicely in the parallelogram family tree with parallel sides and a special addition, four right angles. They had their own perfect little baby who was a little like dad and a little like mom, Baby Square! When they all meet up at family reunions, they always include crazy Uncle Trap who's just a little different than the rest, he's only got one pair of parallel sides.
We then create large poster size polygons and decorate with accessories that cement their roles in the family. As independent application, they transfer that to this picnic scenario.