Geometry

  1. Geometric Transformations
    1. Introduction to Transformations
      1. Definition of Transformation
        1. Image and Pre-image
          1. Notation for Transformations
            1. Types of Transformations
            2. Rigid Transformations
              1. Properties of Rigid Transformations
                1. Preservation of Distance and Angle Measure
                  1. Translation
                    1. Definition and Properties
                      1. Vector Notation
                        1. Coordinate Rules for Translation
                          1. Composing Translations
                          2. Reflection
                            1. Definition and Properties
                              1. Lines of Reflection
                                1. Coordinate Rules for Common Reflections
                                  1. Properties Preserved Under Reflection
                                  2. Rotation
                                    1. Definition and Properties
                                      1. Center and Angle of Rotation
                                        1. Coordinate Rules for Common Rotations
                                          1. Properties Preserved Under Rotation
                                        2. Non-Rigid Transformations
                                          1. Dilation
                                            1. Definition and Properties
                                              1. Center of Dilation
                                                1. Scale Factor
                                                  1. Enlargements vs Reductions
                                                    1. Effect on Coordinates
                                                    2. Properties Preserved and Changed
                                                  2. Compositions of Transformations
                                                    1. Combining Two or More Transformations
                                                      1. Order of Operations in Compositions
                                                        1. Glide Reflections
                                                          1. Effects on Coordinate Points
                                                          2. Symmetry
                                                            1. Line Symmetry
                                                              1. Definition and Identification
                                                                1. Lines of Symmetry
                                                                  1. Figures with Multiple Lines of Symmetry
                                                                  2. Rotational Symmetry
                                                                    1. Definition and Identification
                                                                      1. Angle of Rotational Symmetry
                                                                        1. Order of Rotational Symmetry
                                                                        2. Point Symmetry

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                                                                      9. Circles

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                                                                      11. Three-Dimensional Geometry