1. Mrs. Rivas International Studies Charter School. Worksheet Practice 7-1 to 7-5Section 7-1 Algebra Solve each proportion.

2. Mrs. Rivas International Studies Charter School. Section 7-1 Algebra Solve each proportion.

3. Mrs. Rivas International Studies Charter School. Section 7-2 List the pairs of congruent angles and determine whether the polygons are similar. If so, write a similarity statement and give the scale factor. If not, explain. 3.

4. Mrs. Rivas International Studies Charter School. Section 7-2 List the pairs of congruent angles and determine whether the polygons are similar. If so, write a similarity statement and give the scale factor. If not, explain. 4.

5. Mrs. Rivas International Studies Charter School. Section 7-2 Algebra Find the value of y. Give the scale factor of the polygons. 5. ABCD ~ TSVU

6. Mrs. Rivas International Studies Charter School. Section 7-2 In the diagram below,  PRQ ~  DEF. Find each of the following. 6. the scale factor of  PRQ to  DEF

7. Mrs. Rivas International Studies Charter School. Section 7-2 In the diagram below,  PRQ ~  DEF. Find each of the following.

8. Mrs. Rivas International Studies Charter School. Section 7-2 In the diagram below,  PRQ ~  DEF. Find each of the following.

9. Mrs. Rivas International Studies Charter School. Section 7-2 In the diagram below,  PRQ ~  DEF. Find each of the following.

10. Mrs. Rivas International Studies Charter School. Section 7-2 In the diagram below,  PRQ ~  DEF. Find each of the following.

11. Mrs. Rivas International Studies Charter School. Section 7-2 In the diagram below,  PRQ ~  DEF. Find each of the following.

12. Mrs. Rivas International Studies Charter School. Section 7-3 Determine whether the triangles are similar. If so, write a similarity statement and name the postulate or theorem you used. If not, explain. 12.

13. Mrs. Rivas International Studies Charter School. Section 7-3 Determine whether the triangles are similar. If so, write a similarity statement and name the postulate or theorem you used. If not, explain. 13.

14. Mrs. Rivas International Studies Charter School. Section 7-3 Determine whether the triangles are similar. If so, write a similarity statement and name the postulate or theorem you used. If not, explain. 14.

15. Mrs. Rivas International Studies Charter School. Section 7-3 Determine whether the triangles are similar. If so, write a similarity statement and name the postulate or theorem you used. If not, explain. 15.

16. Mrs. Rivas International Studies Charter School. Section 7-3 16. A stick 2 m long is placed vertically at point B. The top of the stick is in line with the top of a tree as seen from point A, which is 3 m from the stick and 30 m from the tree. How tall is the tree? F: G: Height of the tree. Height of stick 2 m Base of stick’s  3 m Base of Tree’s  30 m H: Stick H: Tree = B: Stick B: Tree 2 m Tree = 3 m 30 m 20 m 2 × 30 ÷ 3 = 20 m

17. Mrs. Rivas International Studies Charter School. Section 7-4 Use the figure at the right to complete each proportion. 17.18. 19. 20. 21. 22.

18. Mrs. Rivas International Studies Charter School. Section 7-4 Algebra Solve for the value of the variables in each right triangle. 23. a GM = b

19. Mrs. Rivas International Studies Charter School. Section 7-4 Algebra Solve for the value of the variables in each right triangle. 23. a GM = b

20. Mrs. Rivas International Studies Charter School. Section 7-4 Algebra Solve for the value of the variables in each right triangle. a GM = b 24.

21. Mrs. Rivas International Studies Charter School. Section 7-4 Algebra Solve for the value of the variables in each right triangle. a GM = b 24.

22. Mrs. Rivas International Studies Charter School. Section 7-4 Algebra Solve for the value of the variables in each right triangle. a GM = b 25.

23. Mrs. Rivas International Studies Charter School. Section 7-4 Algebra Solve for the value of the variables in each right triangle. a GM = b 26.

24. Mrs. Rivas International Studies Charter School. Section 7-4 Algebra Solve for the value of the variables in each right triangle. a GM = b 26.

25. Mrs. Rivas International Studies Charter School. Section 7-4 Algebra Solve for the value of the variables in each right triangle. a GM = b 27.

26. Mrs. Rivas International Studies Charter School. Section 7-4 Algebra Solve for the value of the variables in each right triangle. a GM = b 27.

27. Mrs. Rivas International Studies Charter School. Section 7-4 Algebra Solve for the value of the variables in each right triangle. a GM = b 27.

28. Mrs. Rivas International Studies Charter School. Section 7-4 Algebra Solve for the value of the variables in each right triangle. a GM = b 28.

29. Mrs. Rivas International Studies Charter School. Section 7-4 Algebra Solve for the value of the variables in each right triangle. a GM = b = 10 28.

30. Mrs. Rivas International Studies Charter School. Section 7-4 Algebra Solve for the value of the variables in each right triangle. a GM = b = 10 28.

31. Mrs. Rivas International Studies Charter School. Section 7-5 Algebra Solve for x. 12 – x x + 3 = 6 4 4(12 – x) = 6(x + 3) 48 – 4x = 6x + 18 30 – 4x = 6x 30 = 10x 3 = x 29.

32. Mrs. Rivas International Studies Charter School. Section 7-5 Algebra Solve for x. 12 3 = 2x – 3 x – 5 3(2x – 3) = 12(x - 5) 6x – 9 = 12x - 60 6x = 12x - 51 -6x = -51 8.5 = x 30.

33. Mrs. Rivas International Studies Charter School. Section 7-5 Algebra Solve for x. x + 4 4x + 1 = 8 20 20(x + 4) = 8(4x + 1) 20x + 80 = 32x + 8 20x + 72 = 32x 72 = 12x 6 = x 31.

34. Mrs. Rivas International Studies Charter School. Section 7-5 Algebra Solve for x. 20 4 = 16 x 4(16) = 20(x) 3.2 = x 64 = 20x 32.

35. Mrs. Rivas International Studies Charter School. Section 7-5 Algebra Solve for x. 20 8 = 35 - x x 20x = 8(35 – x) 10 = x 20x = 280 – 8x 28x = 280 33. 35 - x

36. Mrs. Rivas International Studies Charter School. Section 7-5 Algebra Solve for x. 12 20 = x 40 – x 20x = 12(40 – x) 15 = x 20x = 480 – 12x 32x = 480 34. 40 - x

37. Mrs. Rivas International Studies Charter School. Section 7-5 Algebra Solve for x. 21 x = 15 12 21(12) = 15(x) 16.8 = x 252 = 15x 35.

38. Mrs. Rivas International Studies Charter School. Section 7-5 Algebra Solve for x. x x + 4 = 3 x + 2 3(x + 4) = x(x + 2) 3x + 12 = x² + 2x 12 = x² - x 0 = x² - x - 12 X = 4 (x + 3)(x – 4) = 0 x + 3 = 0 x – 4 = 0 x = -3 36.

39. Mrs. Rivas International Studies Charter School. Section 7-5 Algebra Solve for x. 15 10 = 18 - x x 10(18 - x) = 15(x) 7.2 = x 180 – 10x = 15x 180 = 25x 37.