This course begins with the foundations of Geometry, understanding points, lines, and planes. Protractors and compasses are used for measuring and studying angle relationships. Inductive reasoning is used to make conjectures and deductive reasoning is used to verify conjectures. Logical thought is developed through algebraic and geometric proofs. This course applies the Pythagorean Theorem, Midpoint Formula, Distance Formula, and transformations to the coordinate plane. Slope is related to perpendicularity and parallelism while writing and graphing equations of lines and systems. Included in the study of the properties of two- and three- dimensional figures are proportional relationships, similarity, congruence, change in linear dimensions, application of formulas for perimeter, area, surface area, volume, and trigonometric ratios. Formal proofs and use of logic statements are used to validate arguments and to apply and analyze geometric theorems as they relate to geometric figures. Geometric probability is used to predict results in real world situations. A prerequisite credit in Algebra 1 is required.