This diagram was created based on a chart on Pinterest (I don't have the link). I didn't come up with the idea but I did make it into a worksheet.
I was unable to use this worksheet with my students, but the idea behind it was for them to come up with their own rules to categorize quadrilaterals. It promotes critical thinking, as students will need to think about the properties of a quadrilateral and sort the shapes accordingly. They can draw some examples of shapes that go under each category.
It may be a little difficult for students who are just introduced to quadrilaterals.