Students will explore more complex geometric situations and will deepen their explanations of geometric relations including formal mathematical arguments. Transformational geometry will be emphasized throughout the course. Students will establish triangle congruence criteria based on analyses of rigid motions and formal constructions. Students will use triangle congruence as a foundation for the development of formal proofs. The concepts of similarity will be used to solve problems and to understand right triangle trigonometry. Students will develop the Laws of Sines in order to find missing measures of general triangles, building on students’ work with quadratic equations done in their previous mathematics courses. Students will prove the basic theorems of circles and study the relationships between the segments and angles in a circle. The CCSS Regents examination for Geometry will be administered in June.