Category 2: 4 sides, 4 right angles Category 5: 4 sides, all the same length Category 3: 4 sides, 4 right angles, opposite sides parallel Category 6: 4 sides, all the same length, opposite sides parallel Category 8: 4 sides, opposite sides parallel Category 10: 4 sides, at least one pair parallel Category 4: 4 sides, 4 right angles, opposite sides same length Category 7: 4 sides, all the same length, opposite angles same size Category 9: 4 sides, opposite sides same length Category 12: 4 sides Category 11: 4 sides, exactly one pair parallel Which categories in part 1 have exactly the same shapes? Try to draw a shape (using a ruler and protractor or geometry software) that will fit in one of those categories but not the other. Do you think it is possible? For each category, provide its common name if you know it. Which categories are a subcategory of another category? How can you tell that from lists of properties? Describe or draw a diagram to show how the categories in part 1 are related to each other.