Quizzes Returned. Next two weeks: Transformations 2/14/2018. Warmup 2/(# of chambers in the human Created by Mr. Lischwe.

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1 Warmup 2/(# of chambers in the human reated by Mr. Lischwe heart 3 + 2) efore starting the warmup, get 1 sheet of tracing paper from the supply table (DO NOT draw on this) Inside your desk should be: graphing sheet (either type) Marker & eraser (tissues work fine as erasers) Now, the warmup: (Week 6) 1. Draw a capital F. 2. Draw the F after a translation. 3. Draw the F after a reflection. 4. Draw the F after a rotation of 90 degrees. 5. Draw the F after a rotation of 180 degrees. Quizzes Returned Next two weeks: Transformations Today: Translations + s Thursday: More s, Rotations Friday: More Rotations Next Week: Multiple Transformations, Reverse Transformations, review, quiz probably Friday Table of ontents (2 nd Semester) p. 1 Exponent asics (1.2) p. 2 Multiplying and Dividing Powers (1.3) p. 3 Power to a Power (1.4) p. 4 Zero & Negative Exponents (1.5) p. 5 Scientific Notation (1.6) p. 6 alcluating with Scientific Notation (1.7) p. 7 ngle asics p. 8 ngles formed by Parallel Lines (5.1) p. 9 Transformations ( ) Transformations Objectives: Tell the difference between a translation, reflection, and rotation Perform a translation on the coordinate plane Understand coordinate notation of a translation 9 Transformation changes a geometric figure in some way Preimage The original figure Image The figure after the transformation Preimage Image 1

2 Prime notation is used to show a transformation. 3 common types of transformations Translation slide flip Rotation turn Preimage Image Rotation Translation 2

3 Translation Rotation ould be translation OR reflection ND translation 3

4 D D ould be translation, reflection, OR rotation! (look at the letters!) D D D D Rotation Translation The last transformation was the only one in which the image was a different size or shape from the original figure. In this section, we are going to focus ONLY on transformations that keep the figure the same size and shape. Dilation (we won t do these until the next section!) These are sometimes called rigid transformations 4

5 On your graphing sheet Original Triangle: (1, 1), (1, 5), (3, 1) Draw a triangle with vertices (1, 1), (1, 5), and (3, 1). Make sure to label the letters. Put your patty paper over this triangle and trace it with your pencil. Slide the triangle you traced four units to the right. What are the new coordinates? Go back to the original triangle, then use the patty paper to translate it three units left and seven units down. Write down the new coordinates of the points. Remove the tracing paper, and draw the new triangle directly onto the graphing sheet. Don t forget to label your new points:,, and. New coordinates should be: (-2, -6); (-2, -2); (0, -6) Now: WITHOUT Patty Paper Draw a Triangle with coordinates T (-5, 5) R (-5, 7) and Y (-8, 5) Translate the triangle six units to the right. Label your new coordinates. Your new coordinates should be: T (1, 5); R (1, 7); Y (-2, 5) Translation Strategy Just move every vertex of the figure the right number of spaces! Now: WITHOUT Patty Paper Draw a trapezoid with vertices L(2, -7); I(3, -5); S(6, -5); (7, -7) Translate the trapezoid four units left and one unit up. Label your new coordinates. Your new coordinates should be: L (-2, -6); I (-1, -4); S (2, -4); (3, -6) The preimage is (-8, 2); (-8, 6); (-6, 2). The image is (-6, 5); (-6, 9); (-4, 5). Two units right and three units up 5

6 oordinate Notation The preimage is (-2, 2); (-2, 5); (3, 2); D(3, 5) The image is (4, 2); (4, 5); (9, 2); D (9, 5) Six units right Translations are sometimes described using coordinate notation. (The textbook calls it translation notation ) EXMPLE: (x + 4, y 2) means to add four to all the x- coordinates and subtract two to all the y-coordinates. Talk to your trio: what do you think would happen??? Graph a point (5, 3). dd four to the x-coordinate and subtract two from the y- coordinate. What are your new coordinates? Graph this new point. Where did it end up? Which direction did it move? oordiante Notation (x + number): moves right (x number): moves left (y + number): moves up (y number): moves down oordinate (Translation) Notation Examples: (x 3, y + 8) would move a figure 3 units left and 8 units up. (x + 7, y) would move a figure 7 units right, but not up or down. Using oordinate Notation Draw a triangle with vertices D(1, 2); (2, 4); (4, 2) What will the new coordinates be after the translation (x + 5, y 3)? Your new coordinates should be: D (6, -1); (7, 1); (9, -1) Using oordinate Notation Draw a line segment with endpoints (0, -2); (1, -5) Translate the triangle using (x, y + 8) Your new coordinates should be: (0, 6); (1, 3) The preimage is R(3, 3); S(5, 4); T(7, 3) The image is R (1, 8); S (3, 9); T (5, 8) Write it in coordinate notation. (x 2, y + 5) 6

7 Write it in coordinate notation. (x + 6, y 3) Write it in coordinate notation. (x, y + 4) Homework p. 457 (1 7, 9) 7