Predicting Results of Rigid Transformations_LA (1).doc - Geometry Lesson Activities Predicting Results of Rigid Transformations The Lesson Activities

Predicting Results of Rigid Transformations_LA (1).doc -...

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© 2013 EDMENTUM, INC. Predicting Results of Rigid Transformations The Lesson Activities will help you meet these educational goals: Content Knowledge— You will predict the result of a rigid transformation and specify a sequence of transformations to carry a given figure onto another. Mathematical Practices—You will make sense of problems and solve them, reason abstractly and quantitatively, and use mathematics to model real-world situations. STEM—You will apply mathematical tools and knowledge to grow in your understanding of mathematics as a creative human activity. Directions You will evaluate some of these activities yourself, and your teacher may evaluate others. Please save this document before beginning the lesson and keep the document open for reference during the lesson. Type your answers directly in this document for all activities. _________________________________________________________________________ Self-Checked Activities Read the instructions for the following activities and type in your responses. At the end of the lesson, click the link to open the Student Answer Sheet. Use the answers or sample responses to evaluate your own work. 1. Results of Single Transformations Use GeoGebra to predict the results of a single transformation and complete each step below. If you need help, follow these instructions for using GeoGebra. a. First you will examine how reflections affect the orientation and location of quadrilateral ABCD on the coordinate plane. 1. Predict what will happen to the coordinates of a point ( x , y ) as the point reflects across a line to produce point ( x ′, y ′). Choose the x -axis, y -axis, y = x , and y = - x for the lines of reflection. Express your answers in terms of x and y . (Be sure to watch your signs.) Type your response here: Line of reflection x y x- axis y- axis y = x y = -x 1 Geometry Lesson Activities
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2. Enter the numerical coordinates of the vertices of quadrilateral ABCD in the table. (Point A has been done for you.) Then predict the numerical coordinates of the vertices of quadrilateral A B C D ′ as the figure reflects about four different lines of reflection: x -axis, y -axis, y = x , and y = - x . Type your response here : A B C D (-3, -2) Line of reflection A B C D x- axis y- axis y = x y = -x 3. Now check your predictions. In GeoGebra, draw the lines of reflection y = x and y = -x . Then reflect quadrilateral ABCD about the x -axis, y -axis, y = x , and y = - x . Enter the coordinates of the vertices of quadrilateral
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