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Bellwork

Clickers. 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?

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Bellwork

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  1. Clickers 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 20 6 15 x

  6. Test PreparationDay Chapter 6

  7. Test on Wednesday

  8. Example • Solve for x

  9. Example • Solve for x

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

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

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

  13. Example Assuming a similar ratio exists, find the measure of EF E B x x+1 16 14 D 2x-9 F A C 10

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

  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? D 15 11 C A 16 19 B

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

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

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

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

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

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

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

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

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

  25. Example What is the scale factor between these two objects? 1 16 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 • 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 • Using found scale factor to find missing coordinates

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