1. Bellwork  Find the geometric mean of 32 & 5  Find the geometric mean of 75 & 18  What are the new coordinates for a dilation of an object with vertices (2,3), (5,4) & (-2,5) if a scale factor of 5 is used?  Bill kicks a ball in a straight line towards the top of a building. Bob is standing nearby and the ball nearly misses his head. Bob is 6 feet tall and the building is 20 feet tall. If Bob is standing 15 feet away from Bill, how far away is Bob from the building?

2. Bellwork Solution  Find the geometric mean of 32 & 5

3. Bellwork Solution  Find the geometric mean of 75 & 18

4. Bellwork Solution  What are the new coordinates for a dilation of an object with vertices (2,3), (5,4) & (-2,5) if a scale factor of 5 is used?

5. Bellwork Solution  Bill kicks a ball in a straight line towards the top of the building. Bob is standing nearby and the ball nearly misses his head. Bob is 6 feet tall and the building is 20 feet tall. If Bob is standing 15 feet away from Bill, how far away is Bob from the building? Building 6 15 20 x

6. Chapter 6

8. Example  Find the exact geometric mean for 6 & 22

9. Example  Find the exact geometric mean for 56 & 22

10. Example Assuming a similar ratio exists, find the measure of FE A B C D E F G H 2 3 6 5 x+1 12 2y+2

11. Example Assuming a similar ratio exists, find the measure of EF A B C D E F 10 1416 x+1 x 2x-9

12. Example Given ▲ABC~▲DCA, solve for x A B C D x 36 9

13. Example The object on the left is scaled by a factor of 3.75. What is the length of the corresponding side to AB of the new figure? 15 11 16 19 A B C D

14. Example What is the perimeter of object 2 15 1 P=55 2 12

15. Example Are these two triangles similar? 12 8 9 18 12 13.5

16. Example Are these two triangles similar? 15 9 13 19

17. Example Are these two triangles similar? 18 9 7 7

18. Example Are these two triangles similar? A B C DE 45 22.520 22

19. Example What value of x makes the lines parallel? 18 x+3 8x-1 6

20. Example What value of x makes the lines parallel? 27 5 15x x

21. Example What value of x makes the lines parallel? 12 19 x x+2

22. Example What value of x makes the lines parallel? x-5 4 2 x+2

23. Example What is the scale factor between these two objects? 16 1 2 12

24. Example If a 50 meter building produces a shadow that is 30 meters in length, how long of a shadow will be produced by a 1.75m individual

25. Example What is the k factor of the dilation? 1 2

26. Example What is the coordinate of the image of a dilation if the original coordinate was (-3,5) and the k factor is 3?

27. Example You want to create a quadrilateral RSTU that is similar to quadrilateral ABCD. What are the coordinates of U?

28. Homework  Recommended Chapter Review  1-21