Chapter 9: Transformations and Symmetry. MULTIPLE CHOICE Example 1: Which shows the reflected image of quadrilateral ABCD in line n? A. B. C. D.

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1 Lesson 9-1: Reflections Date: MULTIPLE CHOICE Example 1: Which shows the reflected image of quadrilateral ABCD in line n? A. B. C. D. MULTIPLE CHOICE Example 2: Omar is playing miniature golf at a local course. Because a wall is blocking his direct shot, he needs to bounce the ball off wall W and hit the hole located at point H. Which of these steps would be needed to determine where on wall W Omar should aim? A. Determine how far the obstructing wall is from the ball. B. Reflect point H over the line formed by wall W. C. Determine the exact length of wall W. D. Find the perpendicular distance from the hole to the wall. Example 3: A. Graph the image of JKLM over x = 1. B. Graph the image of JKLM over y = 2. Page 1

2 Example 4: A. Graph the reflected image in the x-axis. B. Graph the reflected image in the y-axis. Example 5: Graph the image of ABCD under reflection of the line y = x. Page 2

3 Lesson 9-2: Translations Date: MULTIPLE CHOICE Example 1: Which of the following shows the translation of ΔABC along the translation vector? A. B. C. D. Page 3

4 Example 2: A. Graph ΔTUV along the vector 3, 2 B. Graph pentagon PENTA with vertices P(1, 0), E(2, 2), N(4, 1), T(4, 1), and A(2, 2) along the vector 5, 1. y x Example 3: The graph shows repeated translations that result in the animation of the raindrop. A. Describe the translation of the raindrop from position 2 to position 3 in function notation and in words. B. Describe the translation of the raindrop from position 3 to position 4 using a translation vector. Page 4

5 Lesson 9-3: Rotations Date: MULTIPLE CHOICE Example 1: For the diagram, which description best identifies the rotation of triangle ABC around point Q? A. 20 clockwise B. 20 counterclockwise C. 90 clockwise D. 90 counterclockwise Page 5

6 MULTIPLE CHOICE Example 2: Triangle ABC has vertices A(1, 2), B(4, 6), and C(1, 6). Which shows the image of ΔABC under a rotation of 70 counterclockwise about the point M( 1, 1). A. B. C. D. MULTIPLE CHOICE Example 3: Hexagon DGJTSR is shown below. What is the image of point T after a 90 counterclockwise rotation about the origin? A. (5, 3) B. ( 5, 3) C. ( 3, 5) D. (3, 5) Page 6

7 Lesson 9-4: Compositions of Transformations Date: Example 1: Graph the image of BGTS after a translations along 5,0 and a reflection in the x-axis. Example 2: Graph the image of TUV after a translation along 1,5 and a rotation 180 about the origin. Page 7

8 MULTIPLE CHOICE Example 3: Copy and reflect figure ABC in line s and then line t. Then describe a single transformation that maps ABC onto A B C. A. ABC is reflected across lines and translated down 2 inches. B. ABC is translated down 2 inches onto A B C C. ABC is translated down 2 inches and reflected across line t. D. ABC is translated down 4 inches onto A B C MULTIPLE CHOICE Example 4: What transformation must occur to the brick at point M to further complete the pattern shown? A. The brick must be rotated 180 counterclockwise about point M B. The brick must be translated one brick width right of point M C. The brick must be rotated 90 counterclockwise about point M D. The brick must be rotated 360 counterclockwise about point M Page 8

9 Lesson 9-5: Symmetry Date: Example 1: State whether the object appears to have line symmetry. Write yes or no. If yes, draw all lines of symmetry and state their number. A. B. C. D. E. F. Page 9

10 Example 2: State whether the figure has rotational symmetry. Write yes or no. If yes, locate the center of symmetry, and state the order and magnitude of symmetry. A. B. C. D. E. F. Page 10

11 Example 3: State whether the figure has plane symmetry, axis symmetry, both, or neither. A. B. C. D. Page 11

12 Lesson 9-6: Dilations Date: Example 1: Which diagram shows the dilation image of LMN with center C and k = 1 3. A. B. C. D. Example 2: To create the illusion of a life-sized image, puppeteers sometimes use a light source to show an enlarged image of a puppet projected on a screen or wall. Suppose that the distance between a light source L and the puppet is 24 inches (LP). To what distance PP' should you place the puppet from the screen to create a 49.5-inch tall shadow (I'M') from a 9-inch puppet? Page 12

13 Example 3: Trapezoid EFGH has vertices E( 8, 4), F( 4, 8), G(8, 4), and H( 4, 8). Graph the image of EFGH after a dilation centered at the origin with a scale factor of 1 4. y x Page 13