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Mastering Proportions and Problem-Solving Techniques in Geometry

This resource provides a comprehensive set of questions and answers centered around solving geometric problems using proportions. Covering topics like setup proportions from given statements, cross multiplying to find unknowns, and applying corresponding triangle congruences (SSS, SAS, AA) for sides, this study guide is designed for students who want to sharpen their problem-solving skills in mathematics. It includes varying difficulty levels to cater to all learners, progressing from basic queries to more challenging applications.

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Mastering Proportions and Problem-Solving Techniques in Geometry

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  1. Jeopardy Similarity Statements Set up Proportions Solving for Sides Cross Multiplying Other Proportions $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500 Final Jeopardy

  2. $100 Question D ABC = D ____ by _____ .

  3. $100 Answer D ABC = DEDF by SSS

  4. $200 QuestionD ABC = D ____ by _____

  5. $200 AnswerD ABC = DXZY by SAS

  6. $300 QuestionD ABC = D ____ by _____

  7. $300 AnswerD ABC = DDEC by AA

  8. $400 QuestionD ABC = D ____ by _____

  9. $400 AnswerD ABC = DAED by AA

  10. $500 QuestionD ABC = D ____ by _____

  11. $500 AnswerD ABC = D ARK by SAS

  12. $100 Question from Set up proportions

  13. $100 Answer from Set up proportions

  14. $200 Question from Set up proportions

  15. $200 Answer from Set up proportions

  16. $300 Question from Set up proportions

  17. $300 Answer from Set up proportions

  18. $400 Question from Set up proportions

  19. $400 Answer from Set up proportions

  20. $500 Question from Set up proportions

  21. $500 Answer

  22. $100 Question

  23. $100 Answer

  24. $200 Question from Solving for Sides

  25. $200 Answer from Solving for Sides

  26. $300 Question from Solving for Sides

  27. $300 Answer

  28. $400 Question from Solving for Sides

  29. $400 Answer from Solving for Sides

  30. $500 Question from Solving for Sides

  31. $500 Answer

  32. $100 Question from Other Proportions

  33. $100 Answer from Other Proportions

  34. $200 Question from Other Proportions

  35. $200 Answer from Other Proportions

  36. $300 Question

  37. $300 Answer

  38. $400 Question

  39. $400 Answer

  40. $500 Question

  41. $500 Answer

  42. $100 Question from Cross Multiplying Solve for x.

  43. $100 Answer from Cross Multiplying 6x = 9 * 16 X = 24

  44. $200 Question from Cross Multiplying Solve for x.

  45. $200 Answer from Cross Multiplying 9(x + 3) = 6*12 9x + 27 = 72 9x = 45 X = 5

  46. $300 Question from Cross Multiplying If 3 cans sell for $1.00, how many cans could you buy for $ 2.50?

  47. $300 Answer from Cross Multiplying 3/ $1.00 = x / 2.50 X = 7.50 but you can only buy a WHOLE number of cans. ANSWER = 7 cans

  48. $400 Question from Cross Multiplying Solve for x.

  49. $400 Answer from Cross Multiplying 8(4x – 1) = 12( 2x + 2) 32x – 8 = 24x + 24 8x – 8 = 24 8x = 32 X = 4

  50. $500 Question from Cross Multiplying If ½ tank of gas will go 160 miles, how far will ¾ tank of gas go?

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