(3) Coordinate and transformational geometry. The student uses the process skills to generate and describe rigid transformations (translation, reflection, and rotation) and non-rigid transformations (dilations that preserve similarity and reductions and enlargements that do not preserve similarity). The student is expected to:
(A) describe and perform transformations of figures in a plane using coordinate notation [such as (x, y) → (-x, y)] ;
(B) determine the image or pre-image of a given two-dimensional figure under a composition of rigid transformations, a composition of non-rigid transformations, and a composition of both, including dilations where the center can be any point in the plane;
(C) identify the sequence of transformations that will carry a given pre-image onto an image on and off the coordinate plane; and
(D) identify and distinguish between reflectional and rotational symmetry in a plane figure.