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Geometry Challenge: Similarity and Proportions Quiz

Test your knowledge of triangle similarity, proportional relationships, perimeter, area, and volume in this engaging quiz. Explore proving triangles similar, solving for x, ratios, and more!

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Geometry Challenge: Similarity and Proportions Quiz

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  1. Similarity Jeopardy Click to begin.

  2. Choose a point value. Choose a point value. Click here for Final Jeopardy

  3. Similarity Proportions Triangle Similarity Proportional Relationships Perimeter, Area, Volume 10 Point 10 Point 10 Point 10 Point 10 Point 20 Points 20 Points 20 Points 20 Points 20 Points 30 Points 30 Points 30 Points 30 Points 30 Points 40 Points 40 Points 40 Points 40 Points 40 Points 50 Points 50 Points 50 Points 50 Points 50 Points

  4. Are the polygons similar?

  5. Yes

  6. Are the polygons similar?

  7. Yes

  8. State 2 of the 3 ways to prove triangles similar.

  9. AA, SAS, SSS

  10. Are the polygons similar?

  11. Yes

  12. The figures are similar. Solve for x.

  13. 6

  14. Solve for x.

  15. 6

  16. Solve for x.

  17. 32

  18. Solve for x.

  19. 16.5

  20. Solve for x.

  21. 6.875

  22. Solve for x.

  23. 5.5

  24. Solve for x.

  25. 9

  26. Solve for x.

  27. 2.5

  28. Solve for x.

  29. 12

  30. Solve for x.

  31. 8

  32. Solve for x.

  33. 15

  34. Solve for x.

  35. 9

  36. Solve for x.

  37. 6

  38. Solve for x.

  39. 7.5

  40. Solve for x.

  41. 20

  42. Solve for x.

  43. 8

  44. Find the (reduced) ratio of the perimeters of the similar figures:

  45. 4:3

  46. Find the (reduced) ratio of the areas of the similar figures:

  47. 16:9

  48. Are the solids similar?

  49. no

  50. The areas of two similar rectangles are 27 in2 and 48 in2. The longer side of the larger rectangles is 16 in long. What is the length of the side of the smaller rectangle?

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