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Geometry Ratio, Proportion, And Similarity Practice Questions

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Updated on Oct 5, 2011

Review the following concept if necessary: Geometry Ratio, Proportion, and Similarity Study Guide

Geometry Ratio, Proportion, And Similarity Practice Questions

Problems

Express each ratio in simplest form.

Ratio, Proportion, And Similarity

  1. Write the ratio another way.
  2. Write the ratio another way.
  3. Write the ratio another way.

Determine whether each of the following is a proportion.

  1. State the means for the proportion .
  2. 12:16 = 9:15
  3. State the extremes for the proportion 12:16 = 9:15.
  4. 2:3 = 3:2
  5. State the means for the proportion 2:3 = 3:2.

Solve each proportion.

Determine whether each pair of triangles is similar.

  1. Ratio, Proportion, And Similarity
  2. Ratio, Proportion, And Similarity
  3. Ratio, Proportion, And Similarity
  4. Ratio, Proportion, And Similarity
  5. Ratio, Proportion, And Similarity

 

Which postulate, if any, could you use to prove that the following pairs of triangles are similar?

  1. Ratio, Proportion, And Similarity
  2. Ratio, Proportion, And Similarity
  3. Ratio, Proportion, And Similarity
  4. Ratio, Proportion, And Similarity
  5. Ratio, Proportion, And Similarity
  6. Ratio, Proportion, And Similarity
  7. Ratio, Proportion, And Similarity
  8. Ratio, Proportion, And Similarity

 

Answers

  1. KB:BT
  2. BT:KB
  3. yes
  4. 7 and 4
  5. no
  6. 12 and 15
  7. no
  8. 3 and 3
  9. x = 4
  10. y = 44
  11. z = 28
  12. a = 8
  13. b = 14
  14. x = 1
  15. yes
  16. no
  17. no
  18. yes
  19. no
  20. SAS
  21. AA, SAS, or SSS
  22. AA
  23. AA
  24. none
  25. none
  26. SAS
  27. SSS
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