MATH 6301 - College Geometry

3 Credit Hours
Prerequisites: Math 3000 with grade of C or higher.
Description
Axioms of planar Euclidean Geometry. The 5th postulate. Congruence and Similarity. Theorem of Thales. Similar Triangles: SAS, AA, and SSS. Theorem of Ceva. The Pythagorean Theorem. Polgyons. Circles, secants, and tangents, measurement of an angle with respect to a circle. Perimeters, areas, circumference. Inscribed and circumscribed polygons. Coordinate Geometry in the plane. Mirror symmetries, rotations, translations, and dilations. Isometries and the fundamental theorem of Euclidean Geometry. Transformations in the plane and tessellations.