rotation rule geometry identifying quadrilaterals

(8) The student will demonstrate how some composite transformations are not commutative. (7) The student will be able to identify a transformation by its coordinate rule and then apply it to transform the shape. (6) The student will be able to describe which single transformation is the result of two reflections over intersecting lines. (5) The student will be able to describe which single transformation is the result of two reflections over parallel lines. (4) The student will be able to determine the sequence of transformations performed between a given pre-image and image. (3) The student will be able to perform a sequence of transformations. (2) The student will be able to construct a rotation, a reflection and a translation. (1) The student will be able to perform a reflection, a rotation, and a translation. This emphasizes the properties and definitions of transformations while preparing students for congruence. These are not the only patterns to be found students should be able to given a pre-image and a final image and determine one possible sequence of transformations that maps one onto the other.

We investigate the relationships found by reflecting over two parallel lines and reflecting over two intersecting lines. We also extend single transformations to composite transformations of two or more motions in the plane. This is a continuation from G.CO.4 where we defined the motions and now we begin to actually perform the transformations.

This is objective is all about performing the transformation. Specify a sequence of transformations that will carry a given figure onto another. Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. High School Geometry Common Core G.CO.A.5 - Sequences of Transformations - Patterson

Rotation rule geometry identifying quadrilaterals