Upon successful completion of the course, students will be able to: define, identify, and construct various geometric figures; calculate geometric values of two- and three-dimensional shapes including perimeter, circumference, area, surface area, and volume; solve problems involving perpendicular lines, parallel lines, and parallel lines with transversals; prove that two triangles are congruent or similar using transformations as well as theorems and postulates; classify different types of polygons including triangles and quadrilaterals; compute values involving circles, chords, arcs, and sectors; recall the basics of conic sections including the parabolas, ellipses, and hyperbolas; apply coordinate geometry to solve problems and calculate values such as distance and midpoint; and explain the basic assumptions of non-euclidean geometry and apply trigonometric ratios to solve right triangles.