Geometry

  1. Similarity
    1. Ratios and Proportions
      1. Definition of Ratio
        1. Writing and Simplifying Ratios
          1. Definition of Proportion
            1. Properties of Proportions
              1. Cross Products Property
                1. Reciprocal Property
                  1. Exchange Property
                  2. Solving Proportions
                    1. Applications of Proportions
                    2. Similar Polygons
                      1. Definition of Similar Polygons
                        1. Corresponding Parts
                          1. Scale Factor
                            1. Definition and Calculation
                              1. Relationship to Linear Measurements
                              2. Properties of Similar Polygons
                                1. Corresponding Angles are Congruent
                                  1. Corresponding Sides are Proportional
                                2. Similar Triangles
                                  1. Definition of Similar Triangles
                                    1. Symbol for Similarity
                                      1. Angle-Angle Similarity
                                        1. AA Similarity Postulate
                                          1. Applications and Proofs
                                          2. Side-Angle-Side Similarity
                                            1. SAS Similarity Theorem
                                              1. Applications and Proofs
                                              2. Side-Side-Side Similarity
                                                1. SSS Similarity Theorem
                                                  1. Applications and Proofs
                                                  2. Using Similarity in Proofs
                                                  3. Proportional Segments
                                                    1. Triangle Proportionality Theorem
                                                      1. Statement and Proof
                                                      2. Converse of Triangle Proportionality Theorem
                                                        1. Angle Bisector Theorem
                                                          1. Proportional Segments in Similar Triangles
                                                          2. Geometric Mean
                                                            1. Definition of Geometric Mean
                                                              1. Geometric Mean in Right Triangles
                                                                1. Altitude to Hypotenuse
                                                                  1. Segments Created by Altitude
                                                                  2. Applications in Similar Figures
                                                                    1. Mean Proportional Relationships

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                                                                  6. Right Triangles and Trigonometry

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                                                                  8. Quadrilaterals and Polygons