## 8th Grade Geometric Transformations

#### Abstract

This Learning Module is based upon the Common Core State Standards Initiative for 8th Grade Mathematics, Geometry. Upon completing this learning module, students will be able to: -Identify properties of transformations including orientation, similarity, and congruency. -Perform translations, reflections, rotations, and dilations on the coordinate plane and give the coordinates of the new image. -Determine the sequence of transformations that occurred given the pre-image and image on a coordinate plane. -Write an algebraic rule given a verbal description, pre-image and image on the coordinate plane, or a set of coordinate points of pre-image and image. The Common Core State Standards that align with this modeule (Common Core State Standards Initiative, 2018: CCSS.MATH.CONTENT.8.G.A.1 Verify experimentally the properties of rotations, reflections, and translations. CCSS.MATH.CONTENT.8.G.A.2 Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them. CCSS.MATH.CONTENT.8.G.A.3 Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates. CCSS.MATH.CONTENT.8.G.A.4 Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.