Transformations in Geometry Mathematics & Statistics - Transformations in Geometry - 18 slides
Explore Transformations in Geometry, covering This lecture delves into geometric transformations, namely translations, rotations, reflections, and dilations,.
Topics Covered Introduction to Geometric Transformations Overview of Transformations in Geometry Understanding Translations: Definition and Concept Visualizing Translations in the Cartesian Plane Mathematical Representation of Rotations Examples of Rotations in Real Life Mathematical Representation of Dilations Examples of Dilations in Real Life The Role of Transformations in Geometry Key Theorists in Geometric Transformations Properties of Translations Examples of Translations in Real Life Understanding Rotations: Definition and Concept Combining Transformations: Introduction Sequential Transformations: Order Matters Effects of Combining Translations and Rotations Real-World Applications of Transformations Challenges in Understanding Transformations References OpenStax Geometry Textbook (2023), Chapter 5: Transformations. CK-12 Foundation Geometry Material, Transformations Overview. OpenStax Pre-Calculus Textbook: Translation Basics (2022). Peterson, D. (2010) Geometry: Transformation Techniques. 1st edn. Boston: Academic Press. OpenStax. (2021). 'Geometry.' OpenStax.org. Thornton, E. (2007) Physics of Natural Phenomena. 1st edn. London: Science Press. OpenStax. (2021). 'Physics and Geometry.' OpenStax.org. OpenStax (2023) Geometry. Houston: OpenStax. Khan Academy (2023) Geometry Transformations. Simmons, G.F. (2015). Calculus with analytic geometry. 2nd edn. New York: McGraw-Hill. OpenStax (2021). Geometry Textbook. Rice University Press. Khan Academy (2023). Geometric Transformations Overview. Coxeter, H. (1969). Introduction to Geometry. 2nd edn. New York: Wiley. Hilbert, D. (1902). Foundations of Geometry. Leipzig: Teubner. Lay, D.C. (2012) Linear Algebra and its Applications. 4th edn. Pearson. Browse all lectures