Explores several different geometries. Included are ways of classifying geometries by sets of axioms or by the type of transform defined. Finite geometries, projective geometry, non- Euclidean geometries, topology and the geometry of inversion are investigated. Designed for mathematics majors or educators to be certified to teach secondary mathematics. Geometers Sketchpad or Geogebra is used throughout the course. Prerequisite: MAT-212. [3 credits]