Classify two-dimensional figures in a hierarchy based on properties

What you'll learn

1. Classify quadrilaterals into a hierarchy using defining properties - specifically that quadrilaterals include trapezoids, which include parallelograms, which include rectangles and rhombuses, which both include squares
2. Explain why a figure belongs to multiple categories simultaneously by referencing shared properties - for example, a square is also a rectangle because it has four right angles, and also a rhombus because it has four equal sides
3. Classify triangles by their sides (scalene, isosceles, equilateral) and by their angles (acute, right, obtuse), and explain that a single triangle can belong to two categories at once, such as a "right isosceles triangle"
4. Use a tree diagram or flowchart to represent the hierarchical relationships among two-dimensional figures, showing that each subcategory inherits all properties of the categories above it
5. Justify a classification decision using specific geometric properties (number of sides, parallel sides, perpendicular sides, right angles, equal side lengths, equal angle measures) rather than visual appearance alone