Mathematics & Statistics - Introduction to Geometry - 19 slides
Explore Introduction to Geometry, covering This lecture introduces fundamental concepts in geometry, focusing on points, lines, angles, and planes. It emphasizes.
Topics Covered
Introduction to Geometry
What is Geometry?
Angle Relationships: Supplementary Angles
Angle Relationships: Vertical Angles
Constructing a Perpendicular Bisector
Constructing an Angle Bisector
Understanding Geometric Shapes: Polygons
Understanding Geometric Shapes: Circles
Historical Background of Geometry
Basic Definitions: Points
Basic Definitions: Lines
The Importance of Proofs in Geometry
Basic Geometric Constructions: Tools and Techniques
Constructing Parallel Lines
Geometric Postulates and Theorems
Distance Formula and Midpoint Formula
Slope of a Line and Its Applications
Summary of Key Concepts in Geometry
Conclusion and Next Steps in Learning Geometry
References
Sergeev, A. and Kornilov, V. (2020) 'Introduction to Geometry', Mathematics Today, Vol. 45, pp. 12-15.
Smith, J.E. (2019) A History of Euclidean Geometry. London: Routledge.
Bass, A. (2007). Geometry: Prentice Hall Mathematics. 1st edn. Pearson Education.
OpenStax Geometry. (2021). OpenStax.
Euclid (300 BCE) The Elements. Translated by Thomas Heath, Cambridge University Press.
Young, D. (2018) Geometry for Beginners. New York: Math Press.
Katz, V.J. (1993) A history of mathematics. HarperCollins College Publishers.
CK-12 Foundation (2021). Geometry: Basic Definitions.
OpenStax College (2022) Introduction to geometry.
Moise, E., & Downs, F. (1991). Geometry. 3rd edn. New York: Addison Wesley.
Euclid (300 BCE). Elements. Translated into modern references.
Cook, S. Geometry Essentials. Cambridge: Cambridge Press.