MATH - Geometry Demo1. Introduction to Geometry  Definitions • Measuring Angles • Line and Angle Relationships • Triangles Definitions of Figures and Solids • Summary 2. ConstructionDuplicating Segments and Angles • Constructing Perpendicular Bisectors • Constructing Perpendiculars • Constructing Angle Bisectors • Constructing Parallel Lines • Constructing Points of Concurrency • The Centroid • Summary 3. Lines and AnglesAngle Relationships • Parallel Lines • Midpoint and Slope • Slope of Parallel and Perpendicular Lines • Equations of Lines • Intersections of Lines • Summary 4. TrianglesTriangles Sum Conjecture • Properties of Isosceles Triangles • Triangle Inequalities • Summary 5. CongruenciesSSS and SAS Congruencies • ASA Congruencies • SAA Congruencies • Summary 6. Polygons and Their PropertiesPolygon Sum Conjecture • Exterior Angles of a Polygon • Kites and Trapezoids • Mid-segments Parallelograms • Summary 7. CirclesDefinition • Chord Properties • Tangent Properties • Arcs and Angles • Circumference/Diameter Ratio • Arc Length • Summary 8. TransformationsTransformations • Properties of Isometrics • Symmetry • Summary 9. TessellationsTessellations with Regular Polygons • Tessellations with Non-regular Polygons • Tessellations Using Only Translations • Tessellations and Rotations • Tessellations and Glide Reflections • Summary 10. AreaAreas of Rectangles and Parallelograms • Areas of Triangles, Trapezoids and Kites • Areas of Regular Polygons • Areas of Circles • Surface Area • Summary 11. Pythagorean TheoremThe Theorem of Pythagoras • Converse Special Right Triangles • Distance Calculations • Summary 12. VolumePolyhedrons, Prisms and Pyramids • Solids with Curved Surfaces • Cylinders • Cones • Summary 13. SimilaritySimilar Triangles • Indirect Measurement with Similar Triangles • Corresponding Parts • Proportions with Area and Volume • Summary 14. Deductive ReasoningSymbols of Logic • Modus Tollens, Negation, Law of Syllogism • Law of Contra-positive • Direct Proofs • Conditional Proof • Indirect Proof • Summary 15. Inductive ReasoningDefinition • Number and Picture Patterns • Finding the nth Term • Mathematical Modeling • Summary 16. Geometric ProofPostulates of Geometry • Geometric Proofs • Proving Angle Conjectures • Parallelograms and Parallel Lines Related Proofs • Summary | |
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