Geometry Ratio, Proportion, And Similarity Practice Questions

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.

1. 
2. Write the ratio another way.
3. 
4. Write the ratio another way.
5. 
6. Write the ratio another way.

Determine whether each of the following is a proportion.

7. 
8. State the means for the proportion .
9. 12:16 = 9:15
10. State the extremes for the proportion 12:16 = 9:15.
11. 2:3 = 3:2
12. State the means for the proportion 2:3 = 3:2.

Solve each proportion.

Determine whether each pair of triangles is similar.

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

Answers

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