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ACCELERATED CCGPS ALGEBRA/GEOMETRY UNIT 5: Transformations in the Coordinate Plane Essential QuestionUnit EQ: How can the coordinate plane help me understand properties of refelctions, translations, and rotations? Enduring Understanding The concepts of congruence, similarity, and symmetry can be understood from the perspective of geometric transformation. Fundamental are the rigid motions: translations, rotations, reflections, and combinations of these, all of which are here assumed to preserve distance and angles (and therefore shapes in general). Reflections and rotations each explain a particular type of symmetry, and the symmetries of an object offer insight into its attributes. Standards MCC9-12.G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc. MCC9-12.G.CO.2 Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch). MCC9-12.G.CO.3 Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself. MCC9-12.G.CO.4 Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments. MCC9-12.G.CO.5 Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another. Unit Vocabulary Angle Angle of Rotation Bisector Circle Congruent Date 12-1 Corresponding Angles Corresponding Sides Endpoint Image Intersection Isometry Line Parallel Lines Perpendicular Lines Point Pre-image Ray Reflection Reflection Line (or Line of Reflection) Rotation Segment (or Line Segment) Transformation Translation Vertex Topic Go over test Geometry Vocab Practice Translations and Reflections Rotations QUICK QUIZ Combinations of Transformations Practice Assignment Pages 1 thru 3 Pages 14 and 15 12-10 12-11 Rotational Symmetry Combinations of Transformations Transformations Task Applying rotations, reflections, and Translations CFA Review TEST 12-12 12-13 Final Exam Review Final Exam Review 12-2 12-3 12-4 12-5 12-8 12-9 Pages 4 thru 8 Pages 9 thru 11 Pages 12 and 13 Pages 16 and 17 Pages 18-23 EVENS Pages 18-23 ODDS