Unit 6 Test Review

1. Solve for x: 4 9 = 𝑥−3 45

1. Solve for x: 4 9 = 𝑥−3 45

In the diagram 𝑎 𝑏 = 4 7 . Select all equivalent equations. 𝑏 7 = 4 𝑎 4𝑏=7𝑎 𝑏 𝑎 = 7 4 𝑎𝑏=(7)(4) 7 𝑏 = 4 𝑎

In the diagram 𝑎 𝑏 = 4 7 . Select all equivalent equations. 𝑏 7 = 4 𝑎 4𝑏=7𝑎 𝑏 𝑎 = 7 4 𝑎𝑏=(7)(4) 7 𝑏 = 4 𝑎

3. ∆𝐴𝐵𝐶~∆𝐷𝐸𝐹. Find the following … 𝑚∠𝐷 𝑚∠𝐸 𝑚∠F

3. ∆𝐴𝐵𝐶~∆𝐷𝐸𝐹. Find the following … 𝑚∠𝐷 𝑚∠𝐸 𝑚∠F

Write a similarity statement for the two triangles below.

Write a similarity statement for the two triangles below.

Determine the value of x:

Determine the value of x:

6. Find the value of x:

6. Find the value of x:

7. The quadrilaterals shown are similar 7. The quadrilaterals shown are similar. Find the scale factor of the larger quadrilateral to the smaller, then find the values of x, y, and z.

7. The quadrilaterals shown are similar 7. The quadrilaterals shown are similar. Find the scale factor of the larger quadrilateral to the smaller, then find the values of x, y, and z.

8. Determine if the following triangles are similar 8. Determine if the following triangles are similar. If so, give the similarity statement and state the postulate or theorem that justifies the similarity. If not, write ‘not similar’.

8. Determine if the following triangles are similar 8. Determine if the following triangles are similar. If so, give the similarity statement and state the postulate or theorem that justifies the similarity. If not, write ‘not similar’.

9. Determine if the following triangles are similar 9. Determine if the following triangles are similar. If so, give the similarity statement and state the postulate or theorem that justifies the similarity. If not, write ‘not similar’.

9. Determine if the following triangles are similar 9. Determine if the following triangles are similar. If so, give the similarity statement and state the postulate or theorem that justifies the similarity. If not, write ‘not similar’.

10. Determine if the following triangles are similar 10. Determine if the following triangles are similar. If so, give the similarity statement and state the postulate or theorem that justifies the similarity. If not, write ‘not similar’.

10. Determine if the following triangles are similar 10. Determine if the following triangles are similar. If so, give the similarity statement and state the postulate or theorem that justifies the similarity. If not, write ‘not similar’.

11. Find DF

11. Find DF

12. Find the value of x.

12. Find the value of x.

13. Sarah wants to find the height of a building 13. Sarah wants to find the height of a building. She is 5 ft tall and stands 20 ft away from the building. Her shadow is 15 ft long. Find the height of the building.

13. Sarah wants to find the height of a building 13. Sarah wants to find the height of a building. She is 5 ft tall and stands 20 ft away from the building. Her shadow is 15 ft long. Find the height of the building.

14. Complete the proof Given: Prove:

14. Complete the proof Given: Prove:

15. Label the three triangles with correct vertices, side lengths, and angle measures using the information in the original figure. Find x and y.

15. Label the three triangles with correct vertices, side lengths, and angle measures using the information in the original figure. Find x and y.

16. Solve for x.

16. Solve for x.

17. Solve for x.

17. Solve for x.

18. Solve for x.

18. Solve for x.

19. Determine whether the triangles are similar 19. Determine whether the triangles are similar. If so, write a similarity statement and name the postulate or theorem you used. If not, explain.

19. Determine whether the triangles are similar 19. Determine whether the triangles are similar. If so, write a similarity statement and name the postulate or theorem you used. If not, explain.

20. Determine whether the triangles are similar 20. Determine whether the triangles are similar. If so, write a similarity statement and name the postulate or theorem you used. If not, explain.

20. Determine whether the triangles are similar 20. Determine whether the triangles are similar. If so, write a similarity statement and name the postulate or theorem you used. If not, explain.

21. Determine whether the triangles are similar 21. Determine whether the triangles are similar. If so, write a similarity statement and name the postulate or theorem you used. If not, explain.

21. Determine whether the triangles are similar 21. Determine whether the triangles are similar. If so, write a similarity statement and name the postulate or theorem you used. If not, explain.

22. Determine whether the triangles are similar 22. Determine whether the triangles are similar. If so, write a similarity statement and name the postulate or theorem you used. If not, explain.

22. Determine whether the triangles are similar 22. Determine whether the triangles are similar. If so, write a similarity statement and name the postulate or theorem you used. If not, explain.

23. Determine whether the triangles are similar 23. Determine whether the triangles are similar. If so, write a similarity statement and name the postulate or theorem you used. If not, explain.

23. Determine whether the triangles are similar 23. Determine whether the triangles are similar. If so, write a similarity statement and name the postulate or theorem you used. If not, explain.

24. Determine whether the triangles are similar 24. Determine whether the triangles are similar. If so, write a similarity statement and name the postulate or theorem you used. If not, explain.

24. Determine whether the triangles are similar 24. Determine whether the triangles are similar. If so, write a similarity statement and name the postulate or theorem you used. If not, explain.

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THE END!!!