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

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Presentation on theme: "Mrs. Rivas International Studies Charter School. Worksheet Practice 7-1 to 7-5Section 7-1 Algebra Solve each proportion."— Presentation transcript:

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 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

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 =

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 =

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 – 4x = 6x 30 = 10x 3 = x 29.

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

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

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

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

37 Mrs. Rivas International Studies Charter School. Section 7-5 Algebra Solve for x. 21 x = (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 =

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


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