Geometry

This introductory course teaches foundational Euclidean geometry, including geometric relationships, proofs, measurement of two-dimensional figures, and surface area and volume of three-dimensional shapes.

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.