1. Geometry Never, never, never give up. Winston Churchill Today:  9.4 Instruction  Practice

2. Assignment: 9.6 p 678 #19, 23, 26, 27, 28, 41, 42 Homework Quiz Chapter 7 on Thursday Test Chapter 7 on Friday Geometry Never, never, never give up. Winston Churchill

3. Objectives: 1.Make composition transformations 2.Identify types of composition transformations Vocabulary: glide reflection, composition 9.4 Glide Reflections and Compositions

4. composition – when two or more transformations are combined glide reflection – a transformation of translation and a reflection 7.5 Vocabulary Review

5. Describe the composition. 7.5

6. Use the information below to sketch the image CD after a composition. C(2, 0) and D(3, 3) reflection: in the x-axis rotation: 90° ccw about the origin 7.5 Is the composition a glide reflection?

7. Use the information below to sketch the image CD after a composition. C(2, 0) and D(3, 3) rotation: 90° ccw about the origin reflection: in the x-axis 7.5 Is the composition a glide reflection? Will the composition be the same?

8. Use the information below to sketch the image  QRS after a composition. Q(2, -3), R(4, -4) and S(5, -1) translation: (x, y)  (x, y + 5) reflection: about the y-axis 7.5 Is the composition a glide reflection?

9. Use the information below to sketch the image EF after a composition. E(-3, 5) and F(2, 7) rotation: 180° cw about the origin translation: (x, y)  (x – 3, y + 1) 7.5 Is the composition a glide reflection?

10. A B C A’ B’ C’ Describe the composition. A’’ B’’ C’’ 7.5 1. Rotate 180° clockwise about (1, 1) 2. Translate (x, y)  (x – 2, y + 4).

11. Describe the composition. 7.5 y 1. Reflect about the y-axis 2. Translate (x, y)  (x, y + 2). x 0

12. Example 2 A.(–3, –1) B.(–6, –1) C.(1, 6) D.(–1, –6) ΔJKL has vertices J(2, 3), K(5, 2), and L(3, 0). Graph ΔTUV and its image after a translation along  3, 1  and a rotation 180° about the origin. What are the new coordinates of L''?

13. What transformations are needed to solve the puzzle? 7.5

14. What transformations are needed to solve the puzzle? 7.5

15. What transformations are needed to solve the puzzle? 7.5

16. What transformations are needed to solve the puzzle? 7.5

17. What transformations are needed to solve the puzzle? 7.5

18. Example 4 Describe Transformations A. LANDSCAPING Describe the transformations that are combined to create the brick pattern shown.

19. Example 4 Describe Transformations Step 1A brick is copied and translated to the right one brick length.

20. Example 4 Describe Transformations Step 2The brick is then rotated 90° counterclockwise about point M, given here.

21. Example 4 Describe Transformations Step 3The new brick is in place. Answer: The pattern is created by successive translations and rotations shown above.

22. Example 4 Describe Transformations B. LANDSCAPING Describe the transformations that are combined to create the brick pattern shown.

23. Example 4 Describe Transformations Step 1Two bricks are copied and translated 1 brick length to the right.

24. Example 4 Describe Transformations Step 2The two bricks are then rotated 90  clockwise or counterclockwise about point M, given here.

25. Example 4 Describe Transformations Step 3The new bricks are in place. Another transformation is possible.

26. Example 4 Describe Transformations Step 1Two bricks are copied and rotated 90  clockwise about point M.

27. Example 4 Describe Transformations Step 2The new bricks are in place. Answer: The pattern is created by successive rotations of two bricks or by alternating translations then rotations.

28. Example 4 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. A. What transformation must occur to the brick at point M to further complete the pattern shown here?

29. Example 4 A.The two bricks must be translated one brick length to the right of point M. B.The two bricks must be translated one brick length down from point M. C.The two bricks must be rotated 180° counterclockwise about point M. D.The two bricks must be rotated 90° counterclockwise about point M. B. What transformation must occur to the brick at point M to further complete the pattern shown here?

30. Assignment: 9.4 p 656 #27, 29, 35, 41, 43, 45, 46 Homework Quiz Chapter 7 on Thursday Test Chapter 7 on Friday Geometry Never, never, never give up. Winston Churchill