1.1.1. | Translations of Geometric Figures | |
1.1.2. | Rotations of Geometric Figures | |
1.1.3. | Rotating Objects in the Coordinate Plane Using Functions | |
1.1.4. | Reflections of Geometric Figures in the Cartesian Plane | |
1.1.5. | Reflections of Figures Across Arbitrary Lines | |
1.1.6. | Dilations of Geometric Figures | |
1.1.7. | Dilations of Figures in the Coordinate Plane | |
1.1.8. | Stretches of Geometric Figures | |
1.1.9. | Combining Stretches of Geometric Figures | |
1.1.10. | Combining Geometric Transformations | |
1.1.11. | Reflective Symmetry | |
1.1.12. | Rotational Symmetry |
2.2.1. | Rigid Motions and Congruence | |
2.2.2. | The Angle-Side-Angle (ASA) Criterion for Congruent Triangles | |
2.2.3. | The Side-Angle-Side (SAS) Criterion for Congruent Triangles | |
2.2.4. | The Side-Side-Side (SSS) Criterion for Congruent Triangles |
2.3.1. | Similarity and Similar Polygons | |
2.3.2. | Side Lengths and Angle Measures of Similar Polygons | |
2.3.3. | Areas of Similar Polygons | |
2.3.4. | Working With Areas of Similar Polygons | |
2.3.5. | Geometric Transformations and Similarity | |
2.3.6. | The Angle-Angle (AA) Criterion for Similar Triangles | |
2.3.7. | The Side-Side-Side (SSS) Criterion for Similar Triangles | |
2.3.8. | The Side-Angle-Side (SAS) Criterion for Similar Triangles | |
2.3.9. | Combining Similarity Criteria for Triangles | |
2.3.10. | The Midpoint Theorem | |
2.3.11. | The Triangle Proportionality Theorem |
3.4.1. | Introduction to Circles | |
3.4.2. | Arcs, Segments, and Sectors of Circles | |
3.4.3. | The Circumference of a Circle | |
3.4.4. | Areas of Circles | |
3.4.5. | Central Angles and Arcs | |
3.4.6. | Calculating Arc Lengths of Circular Sectors Using Angles in Degrees | |
3.4.7. | Calculating Areas of Circular Sectors Using Angles in Degrees | |
3.4.8. | Further Calculating Areas of Sectors Using Angles in Degrees | |
3.4.9. | Problem Solving With Circles |
3.5.1. | The Inscribed Angle Theorem | |
3.5.2. | Problem Solving Using the Inscribed Angle Theorem | |
3.5.3. | Thales' Theorem | |
3.5.4. | Angles in Inscribed Right Triangles | |
3.5.5. | Inscribed Quadrilaterals | |
3.5.6. | Tangent Lines to Circles | |
3.5.7. | Circle Similarity |
3.6.1. | Introduction to Radians | |
3.6.2. | Calculating Arc Length Using Angles in Radians | |
3.6.3. | Calculating Areas of Sectors Using Angles in Radians | |
3.6.4. | Trigonometric Ratios With Radians |
4.7.1. | Parallel Lines in the Coordinate Plane | |
4.7.2. | Finding the Equation of a Parallel Line | |
4.7.3. | Perpendicular Lines in the Coordinate Plane | |
4.7.4. | Finding Equations of Perpendicular Lines | |
4.7.5. | Midpoints in the Coordinate Plane | |
4.7.6. | The Distance Formula | |
4.7.7. | The Shortest Distance Between a Point and a Line | |
4.7.8. | Calculating Perimeters of Shapes in the Coordinate Plane | |
4.7.9. | Calculating Areas of Rectangles in the Coordinate Plane | |
4.7.10. | Calculating Areas of Triangles and Quadrilaterals in the Coordinate Plane |
5.8.1. | The Pythagorean Theorem | |
5.8.2. | The 45-45-90 Triangle | |
5.8.3. | The 30-60-90 Triangle | |
5.8.4. | The Area of a 45-45-90 Triangle | |
5.8.5. | The Area of a 30-60-90 Triangle | |
5.8.6. | The Area of an Equilateral Triangle | |
5.8.7. | Diagonals of Squares |
5.9.1. | Angles and Sides in Right Triangles | |
5.9.2. | The Trigonometric Ratios | |
5.9.3. | Calculating Trigonometric Ratios Using the Pythagorean Theorem | |
5.9.4. | Calculating Side Lengths of Right Triangles Using Trigonometry | |
5.9.5. | Calculating Angles in Right Triangles Using Trigonometry | |
5.9.6. | Modeling With Trigonometry | |
5.9.7. | The Reciprocal Trigonometric Ratios | |
5.9.8. | Trigonometric Ratios in Similar Right Triangles | |
5.9.9. | Trigonometric Functions of Complementary Angles | |
5.9.10. | Special Trigonometric Ratios | |
5.9.11. | Calculating the Area of a Right Triangle Using Trigonometry | |
5.9.12. | Solving Multiple Right Triangles Using Trigonometry |
6.10.1. | Identifying Three-Dimensional Shapes | |
6.10.2. | Faces, Vertices, and Edges of Polyhedrons | |
6.10.3. | Nets of Polyhedrons | |
6.10.4. | Finding Surface Areas Using Nets | |
6.10.5. | The Distance Formula in Three Dimensions | |
6.10.6. | Euler's Formula for Polyhedra | |
6.10.7. | The Five Platonic Solids |
6.11.1. | Volumes of Cubes | |
6.11.2. | Surface Areas of Cubes | |
6.11.3. | Face Diagonals of Cubes | |
6.11.4. | Diagonals of Cubes | |
6.11.5. | Volumes of Rectangular Solids | |
6.11.6. | Surface Areas of Rectangular Solids | |
6.11.7. | Diagonals of Rectangular Solids | |
6.11.8. | Volumes of Pyramids | |
6.11.9. | Surface Areas of Pyramids |
6.12.1. | Volumes of Cylinders | |
6.12.2. | Surface Areas of Cylinders | |
6.12.3. | Volumes of Right Cones | |
6.12.4. | Slant Heights of Right Cones | |
6.12.5. | Surface Areas of Right Cones | |
6.12.6. | Volumes of Spheres | |
6.12.7. | Surface Areas of Spheres | |
6.12.8. | Conical Frustums | |
6.12.9. | Volumes of Revolution |