This course formalizes and extends geometric concepts by exploring more complex geometric situations and deepening explanations of geometric relationships, moving towards formal mathematical arguments. The six critical areas include:  (1) congruence, proof, and constructions; (2) similarity, proof, and trigonometry; (3) extending to three dimensions; (4) connecting algebra and geometry through coordinates; (5) circles with and without coordinates; and (6) applications of probability.    The Standards for Mathematical Practice apply throughout this course and, together with the content standards, prescribe mathematics as a coherent, useful, and logical subject that makes sense of problem situations.