1. Bellwork Find the geometric mean of 32 & 5 Find the geometric mean of 32 & 5 Find the geometric mean of 75 & 18 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? 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? 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? Clickers

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

3. Bellwork Solution Find the geometric mean of 75 & 18 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? 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? 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. Test Preparation Day Chapter 6

7. Test on Wednesday

8. Example Solve for x Solve for x

9. Example

10. Example Find the exact geometric mean for 6 & 22 Find the exact geometric mean for 6 & 22

11. Example Find the exact geometric mean for 56 & 22 Find the exact geometric mean for 56 & 22

12. 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

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

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

15. 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

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

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

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

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

20. Example Are these two triangles similar? A B C DE 45 22.5 21

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

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

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

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

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

26. Example Shadow Problem

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

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

29. Homework Optional Chapter Review Optional Chapter Review 1-21 1-21

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

31. Most Important Points Finding Scale factor of a dilation Finding Scale factor of a dilation Using found scale factor to find missing coordinates Using found scale factor to find missing coordinates