1 / 57

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.

spiro
Télécharger la présentation

SOH CAH TOA

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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

More Related