Geometry

  1. Quadrilaterals and Polygons
    1. Polygon Fundamentals
      1. Definition of a Polygon
        1. Polygon Terminology
          1. Vertices
            1. Sides
              1. Diagonals
              2. Naming Polygons by Number of Sides
                1. Convex vs Concave Polygons
                  1. Regular vs Irregular Polygons
                  2. Angle Measures in Polygons
                    1. Interior Angles
                      1. Sum of Interior Angles Formula
                        1. Finding Individual Interior Angles
                        2. Exterior Angles
                          1. Sum of Exterior Angles
                            1. Individual Exterior Angles
                            2. Regular Polygon Angle Measures
                            3. Quadrilateral Properties
                              1. Definition of Quadrilateral
                                1. Sum of Interior Angles
                                  1. Classification of Quadrilaterals
                                  2. Parallelograms
                                    1. Definition and Basic Properties
                                      1. Opposite Sides are Parallel and Congruent
                                        1. Opposite Angles are Congruent
                                          1. Consecutive Angles are Supplementary
                                            1. Diagonals Bisect Each Other
                                              1. Proving a Quadrilateral is a Parallelogram
                                                1. Using Opposite Sides
                                                  1. Using Opposite Angles
                                                    1. Using Diagonals
                                                      1. Using One Pair of Opposite Sides
                                                    2. Special Parallelograms
                                                      1. Rectangles
                                                        1. Definition and Properties
                                                          1. All Angles are Right Angles
                                                            1. Diagonals are Congruent
                                                              1. Properties Inherited from Parallelograms
                                                              2. Rhombuses
                                                                1. Definition and Properties
                                                                  1. All Sides are Congruent
                                                                    1. Diagonals are Perpendicular
                                                                      1. Diagonals Bisect Angles
                                                                      2. Squares
                                                                        1. Definition and Properties
                                                                          1. Properties of Both Rectangles and Rhombuses
                                                                            1. All Sides Congruent and All Angles Right
                                                                          2. Other Quadrilaterals
                                                                            1. Trapezoids
                                                                              1. Definition and Properties
                                                                                1. Bases and Legs
                                                                                  1. Base Angles
                                                                                    1. Isosceles Trapezoids
                                                                                      1. Properties of Isosceles Trapezoids
                                                                                        1. Congruent Legs and Base Angles
                                                                                        2. Midsegment of a Trapezoid
                                                                                          1. Properties and Applications
                                                                                        3. Kites
                                                                                          1. Definition and Properties
                                                                                            1. Two Pairs of Consecutive Congruent Sides
                                                                                              1. Perpendicular Diagonals
                                                                                                1. One Diagonal Bisects the Other
                                                                                              2. Areas of Polygons
                                                                                                1. Area Concepts and Units
                                                                                                  1. Area of Triangles
                                                                                                    1. Base and Height Formula
                                                                                                      1. Using Different Bases
                                                                                                      2. Area of Parallelograms
                                                                                                        1. Base and Height Formula
                                                                                                          1. Relationship to Triangle Area
                                                                                                          2. Area of Rectangles and Squares
                                                                                                            1. Length times Width Formula
                                                                                                              1. Special Cases
                                                                                                              2. Area of Trapezoids
                                                                                                                1. Average of Bases times Height
                                                                                                                  1. Derivation of Formula
                                                                                                                  2. Area of Rhombuses and Kites
                                                                                                                    1. Using Diagonals
                                                                                                                      1. Half the Product of Diagonals
                                                                                                                      2. Area of Regular Polygons
                                                                                                                        1. Using Apothem
                                                                                                                          1. Apothem and Area Formula
                                                                                                                            1. Relationship to Perimeter
                                                                                                                          2. Perimeter of Polygons
                                                                                                                            1. Definition of Perimeter
                                                                                                                              1. Finding Perimeter of Various Polygons
                                                                                                                                1. Perimeter of Regular Polygons
                                                                                                                                  1. Applications and Problem Solving

                                                                                                                                Previous

                                                                                                                                7. Similarity

                                                                                                                                Go to top

                                                                                                                                Next

                                                                                                                                9. Circles