Unit 8 · Polygons and Quadrilaterals

8.7Classifying Quadrilaterals

Quick Answer

The quadrilateral hierarchy: parallelogram → rectangle, rhombus → square. Trapezoid → isosceles trapezoid. Kite is separate. Every square is a rectangle and a rhombus; every rectangle and rhombus is a parallelogram.

Essential Question

How does the quadrilateral hierarchy show that every property of a general class is inherited by all its special cases?

Learning Goals

  • 1Draw and interpret the quadrilateral hierarchy.
  • 2Classify a quadrilateral given its properties.
  • 3Determine which properties apply to a given quadrilateral.
  • 4Use the hierarchy to make valid deductions.

Key Vocabulary

Quadrilateral hierarchy

A diagram showing the subset relationships among quadrilateral types.

Full lesson content coming soon

Worked examples, guided practice problems, a workbook, quiz, and downloadable PDF resources will be added to this lesson in Phase 2. The learning goals and vocabulary above reflect the complete lesson scope.