After the definitions and characteristics of the various types of quadrilaterals in this chapter are presented, you will learn a variety of theorems that verify these. Proofs of various kinds continue to be developed. The coordinate geometry of quadrilaterals extends and reviews your knowledge of coordinate geometry.

What you can expect to learn

After completing these activities you should be able to

  1. Identify special quadrilaterals and their relationships to other special quadrilaterals.
  2. Find the sum of the interior angles and the sum of the exterior angles of convex quadrilaterals and other convex polygons.
  3. Verify and apply properties of parallelograms.
  4. Prove that a quadrilateral is a parallelogram.
  5. Apply the Congruent Division of Transversals Theorem.
  6. Verify and apply additional properties of rectangles, rhombi, squares, trapezoids, and kites.
  7. Use coordinate geometry to classify given quadrilaterals and prove theorems related to quadrilaterals.
Activity List