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SOH CAH TOA

Special Right Triangles. SOH CAH TOA. Triangle Similarity Postulates. Similar Figures. Trig Word Problems. Odds & Ends. Dilations. 1. 1. 1. 1. 1. 1. 1. 2. 2. 2. 2. 2. 2. 2. 3. 3. 3. 3. 3. 3. 3. 4. 4. 4. 4. 4. 4. 4.

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SOH CAH TOA

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  1. Special Right Triangles SOH CAH TOA • Triangle Similarity Postulates • Similar Figures • Trig Word Problems • Odds & Ends • Dilations • 1 • 1 • 1 • 1 • 1 • 1 • 1 • 2 • 2 • 2 • 2 • 2 • 2 • 2 • 3 • 3 • 3 • 3 • 3 • 3 • 3 • 4 • 4 • 4 • 4 • 4 • 4 • 4

  2. Are these two triangles similar? If they are, identify the reason. Click here for the answer. Red Question 1

  3. Not enough information (SSA). Click here to return to the game board. Red Answer 1

  4. Which statement is true for the triangles below? Click here for the answer. Red Question 2

  5. Click here to return to the game board. Red Answer 2

  6. Click here for the answer. Red Question 3

  7. B) AB and DE are proportionalIn similar figures, the angles are congruent, but the sides are proportional. The figures themselves are similar. Click here to return to the game board. Red Answer 3

  8. Why are these triangles similar? Click here for the answer. Red Question 4

  9. SAS~ Click here to return to the game board. Red Answer 4

  10. How many times has segment XY been dilated ? Click here for the answer. Orange Question 1

  11. THREE (3) Do not count the original, or point P, which is the center of dilation. Click here to return to the game board. Orange Answer 1

  12. Which of these statements is true?a) B’ is the center of dilation.b) ABC has been dilated by a factor or 5.c) O is the center of dilation.d) The triangles are congruent. Click here for the answer. Orange Question 2

  13. C--O is the center of dilation Click here to return to the game board. Orange Answer 2

  14. Why do these dilated figures overlap? Click here for the answer. Orange Question 3

  15. One of the vertices (or corners) of the pre-image was used as the center of dilation. Click here to return to the game board. Orange Answer 3

  16. Which point below is the center of dilation? Click here for the answer. Orange Question 4

  17. point P Click here to return to the game board. Orange Answer 4

  18. Find x and y in the triangle below. Click here for the answer. Yellow Question 1

  19. Click here to return to the game board. Yellow Answer 1

  20. Click here for the answer. Yellow Question 2

  21. Area = ½ b h = ½ (41)(6) = 123 in² Click here to return to the game board. Yellow Answer 2

  22. Find x and y. Click here for the answer. Yellow Question 3

  23. Click here to return to the game board. Yellow Answer 3

  24. What is NEVER a reason that two triangles are similar?A) SAS~B) SSS~C) AA~D) SSA~ Click here for the answer. Yellow Question 4

  25. What is NEVER a reason that two triangles are similar?A) SAS~B) SSS~C) AA~D) SSA~ bass-ackwards Click here to return to the game board. Yellow Answer 4

  26. Click here for the answer. Green Question 1

  27. BIt has the same cross products as the original: zw = xy Click here to return to the game board. Green Answer 1

  28. The triangles below are similar. The sides marked “20” and “x” are medians. Solve for x. Click here for the answer. Green Question 2

  29. 36x = 360x = 10 Click here to return to the game board. Green Answer 2

  30. On a sunny day, a 12 inch ruler is held perpendicular to the ground. It casts a 30 inch shadow. At the same time, a bush casts a shadow that is 80 inches long. How tall is the bush? Click here for the answer. Green Question 3

  31. 30 x = 960x = 32 inches Click here to return to the game board. Green Answer 3

  32. How wide is the river below (EN)? Click here for the answer. Green Question 4

  33. 30x = 1800x = 60 ft Click here to return to the game board. Green Answer 4

  34. In a right triangle, sinX = 9/15.cosX = 12/15. What is tanX = ? Click here for the answer. Blue Question 1

  35. tanX = opp/adj = 9/12 Click here to return to the game board. Blue Answer 1

  36. If sinM = 8/17 then tan M = ? Click here for the answer. Blue Question 2

  37. tanM = 8/15 Click here to return to the game board. Blue Answer 2

  38. Find a and b. Click here for the answer. Blue Question 3

  39. sin 71 = 13/b b = 13/sin 71 b = 13.7 tan71 = 13/a a = 13/tan 71 a = 4.5 Click here to return to the game board. Blue Answer 3

  40. A cat is stuck in a tree. Bill gets a ladder to get him down. The ladder is 8 ft. long. The ladder makes an 80 degree angle with the ground. How high above the ground does the ladder touch the tree? Click here for the answer. Blue Question 4

  41. sin 80 = x/8x = 8sin80x = 7.9 ft. Click here to return to the game board. Blue Answer 4

  42. A surveyor is 100 feet from a tower. The surveyor’s instrument is 4 feet above the ground. When the surveyor sights the top of the tower with his instrument, the angle of elevation is 34°. How tall is the tower? Click here for the answer. Purple Question 1

  43. tan 34 = x/100x = 100 tan 34x = 67.5tower = 67.5 + 4 = 71.5 feet Click here to return to the game board. Purple Answer 1

  44. The ladder to a slide is 6 ft. tall. The slide is 11 ft. long. What angle does the ladder make with the ground? Click here for the answer. Purple Question 2

  45. sin x = 6/11x = sin -1 (6/11)x = 33.1° Click here to return to the game board. Purple Answer 2

  46. From a point 68 feet from a building, the angle of elevation to a floor on the building is 53 degrees. How many feet high is that floor? Click here for the answer. Purple Question 3

  47. tan 53 = x/68x = 68 tan 53x = 90.2 feet Click here to return to the game board. Purple Answer 3

  48. Mrs. Gasper was practicing her karate and chopped a flag pole. The pole breaks 6 ft. above the ground. The broken piece forms a 57° angle with the ground. How tall was the pole before Mrs. Gasper chopped it? Click here for the answer. Purple Question 4

  49. Click here to return to the game board. Purple Answer 4

  50. Bill has two pieces of lumber, one is 9 ft. long and the other is 12 ft. long. How long should a third piece of lumber be in order for Bill to have a right triangle? Click here for the answer. Pink Question 1

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