Explore the fascinating world of geometry in this comprehensive 90-minute video lecture. Delve into the origins of geometry in Ancient Greece and the contributions of the Pythagoreans before diving into basic Euclidean concepts like points, lines, and planes. Learn about various types of angles, triangles, and their relationships, including congruence and similarity proofs. Discover special lines in triangles, the Triangle Midsegment Theorem, and the famous Pythagorean Theorem. Examine different quadrilaterals, polygons, and circles, mastering calculations for perimeter, area, and circumference. Conclude with an exploration of three-dimensional shapes, including methods for calculating surface area and volume. Perfect for students taking geometry courses or anyone curious about the intricacies of shapes and spatial relationships.
Overview
Syllabus
Introduction to Geometry: Ancient Greece and the Pythagoreans.
Basic Euclidean Geometry: Points, Lines, and Planes.
Types of Angles and Angle Relationships.
Types of Triangles in Euclidean Geometry.
Proving Triangle Congruence and Similarity.
Special Lines in Triangles: Bisectors, Medians, and Altitudes.
The Triangle Midsegment Theorem.
The Pythagorean Theorem.
Types of Quadrilaterals and Other Polygons.
Calculating the Perimeter of Polygons.
Circles: Radius, Diameter, Chords, Circumference, and Sectors.
Calculating the Area of Shapes.
Proving the Pythagorean Theorem.
Three-Dimensional Shapes Part 1: Types, Calculating Surface Area.
Three-Dimensional Shapes Part 2: Calculating Volume.
Taught by
Professor Dave Explains
