Presentation is loading. Please wait.

Presentation is loading. Please wait.

Jeopardy Review Chapter 8 Geometric Means, Pythagorean Theorem and its Inverse, Special Triangles, Trigonometry, and Angles of Elevation and Depression.

Published byRobyn Harper Modified over 8 years ago

Similar presentations

Presentation on theme: "Jeopardy Review Chapter 8 Geometric Means, Pythagorean Theorem and its Inverse, Special Triangles, Trigonometry, and Angles of Elevation and Depression."— Presentation transcript:

1 Jeopardy Review Chapter 8 Geometric Means, Pythagorean Theorem and its Inverse, Special Triangles, Trigonometry, and Angles of Elevation and Depression

2 Please select a Team. 10 A.Team 1 B.Team 2 C.Team 3 D.Team 4 E.Team 5 F.Team 6 G.Team 7 H.Team 8

3 Triangles, Trig, and Angles 200 400 600 800 1000 200 400 600 800 1000 200 400 600 800 1000 200 400 600 800 1000 200 400 600 800 1000 Geometric Means Pythagorean Theorem and Its Inverse Angles of Elevation and Depression Trigonometry Special Triangles

4 C1-200 : Find the geometric mean between 7 and 11. 10 A. 7 B. √77 ≈ 8.8 C. 11 D. 77

5 Fastest Responders (in seconds) 0Participant 1 0Participant 2 0Participant 3 0Participant 4 0Participant 5 0Participant 6 0Participant 7 0Participant 8

6 0Team 1 0Team 2 0Team 3 0Team 4 0Team 5 0Team 6 0Team 7 0Team 8 HOME Team Scores

7 C1-400: Find the geometric mean between 12 and 9. 10 A.6√3 ≈ 10.4 B.12 C.9 D.108

8 Fastest Responders (in seconds) 0Participant 1 0Participant 2 0Participant 3 0Participant 4 0Participant 5 0Participant 6 0Participant 7 0Participant 8

9 0Team 1 0Team 2 0Team 3 0Team 4 0Team 5 0Team 6 0Team 7 0Team 8 HOME Team Scores HOME

10 10

11 Fastest Responders (in seconds) 0Participant 1 0Participant 2 0Participant 3 0Participant 4 0Participant 5 0Participant 6 0Participant 7 0Participant 8

12 0Team 1 0Team 2 0Team 3 0Team 4 0Team 5 0Team 6 0Team 7 0Team 8 HOME Team Scores HOME

13 C1-800: In the diagram find x, y, and z. 10 x 9 4 y z x

14 Fastest Responders (in seconds) 0Participant 1 0Participant 2 0Participant 3 0Participant 4 0Participant 5 0Participant 6 0Participant 7 0Participant 8

15 0Team 1 0Team 2 0Team 3 0Team 4 0Team 5 0Team 6 0Team 7 0Team 8 HOME Team Scores HOME

16 C1-1000: Blake is setting up his tent at a renaissance fair. If the tent is 8 feet tall, and the tether can be staked no more than two feet from the tent, how long should the tether be? 10 A. 8.2 ft B. 16 ft C. 10 ft D. 7 ft x 2 ft 8ft

17 Fastest Responders (in seconds) 0Participant 1 0Participant 2 0Participant 3 0Participant 4 0Participant 5 0Participant 6 0Participant 7 0Participant 8

18 0Team 1 0Team 2 0Team 3 0Team 4 0Team 5 0Team 6 0Team 7 0Team 8 HOME Team Scores HOME

19 C2-200: Find x. 10

20 Fastest Responders (in seconds) 0Participant 1 0Participant 2 0Participant 3 0Participant 4 0Participant 5 0Participant 6 0Participant 7 0Participant 8

21 0Team 1 0Team 2 0Team 3 0Team 4 0Team 5 0Team 6 0Team 7 0Team 8 HOME Team Scores HOME

22 C2-400: Find x and y: 10

23 Fastest Responders (in seconds) 0Participant 1 0Participant 2 0Participant 3 0Participant 4 0Participant 5 0Participant 6 0Participant 7 0Participant 8

24 Team Scores 0Team 1 0Team 2 0Team 3 0Team 4 0Team 5 0Team 6 0Team 7 0Team 8 HOME

25 C2-600: Given the lengths of 104, 106, and 10, could this be a right triangle? 10 A. Yes B. No C. Possibly if we knew more D. Not enough information

26 Fastest Responders (in seconds) 0Participant 1 0Participant 2 0Participant 3 0Participant 4 0Participant 5 0Participant 6 0Participant 7 0Participant 8

27 0Team 1 0Team 2 0Team 3 0Team 4 0Team 5 0Team 6 0Team 7 0Team 8 HOME Team Scores HOME

28 C2-800: Given the that a triangle has side lengths both equal to 3 inches. Is this a right triangle? If so give the missing length 10 A. No B. Yes, 9 C. Not enough info D. Yes, 4.2

29 Fastest Responders (in seconds) 0Participant 1 0Participant 2 0Participant 3 0Participant 4 0Participant 5 0Participant 6 0Participant 7 0Participant 8

30 0Team 1 0Team 2 0Team 3 0Team 4 0Team 5 0Team 6 0Team 7 0Team 8 HOME Team Scores HOME

31 C2-1000: Use a Pythagorean triple to find x given side lengths of a right triangle are 45ft and 24ft. 10 A. 36 B. 51 C. 12 D. 13

32 Fastest Responders (in seconds) 0Participant 1 0Participant 2 0Participant 3 0Participant 4 0Participant 5 0Participant 6 0Participant 7 0Participant 8

33 0Team 1 0Team 2 0Team 3 0Team 4 0Team 5 0Team 6 0Team 7 0Team 8 HOME Team Scores HOME

34 C3-200: Given two side lengths of a right triangle we can use which trigonometric ratio to find an angle? 10 A. sin -1 B. cos -1 C. tan D. tan -1

35 Fastest Responders (in seconds) 0Participant 1 0Participant 2 0Participant 3 0Participant 4 0Participant 5 0Participant 6 0Participant 7 0Participant 8

36 0Team 1 0Team 2 0Team 3 0Team 4 0Team 5 0Team 6 0Team 7 0Team 8 HOME Team Scores HOME

37 10 A. 3/5 B. 4/5 C. 4/3 D. 3/4 3 4 5

38 Fastest Responders (in seconds) 0Participant 1 0Participant 2 0Participant 3 0Participant 4 0Participant 5 0Participant 6 0Participant 7 0Participant 8

39 0Team 1 0Team 2 0Team 3 0Team 4 0Team 5 0Team 6 0Team 7 0Team 8 HOME Team Scores HOME

40 10 A. 5/13 B. 12/5 C. 13/12 D. 5/12 5 12

41 Fastest Responders (in seconds) 0Participant 1 0Participant 2 0Participant 3 0Participant 4 0Participant 5 0Participant 6 0Participant 7 0Participant 8

42 0Team 1 0Team 2 0Team 3 0Team 4 0Team 5 0Team 6 0Team 7 0Team 8 HOME Team Scores HOME

43 10 A. 60deg B. 60.3deg C. 45deg D. 30deg 8 14

44 Fastest Responders (in seconds) 0Participant 1 0Participant 2 0Participant 3 0Participant 4 0Participant 5 0Participant 6 0Participant 7 0Participant 8

45 0Team 1 0Team 2 0Team 3 0Team 4 0Team 5 0Team 6 0Team 7 0Team 8 HOME Team Scores HOME

46 C3-1000: Given the ratio of the opposite side to the adjacent side, how would we get the hypotenuse using trigonometry instead of the Pythagorean theorem? 10

47 Fastest Responders (in seconds) 0Participant 1 0Participant 2 0Participant 3 0Participant 4 0Participant 5 0Participant 6 0Participant 7 0Participant 8

48 0Team 1 0Team 2 0Team 3 0Team 4 0Team 5 0Team 6 0Team 7 0Team 8 HOME Team Scores HOME

49 C4-200: Find the missing angle measures in the triangle below. 10 A.90˚ B.45˚ C.30˚ D.60˚ 90˚ 45˚x

50 Fastest Responders (in seconds) 0Participant 1 0Participant 2 0Participant 3 0Participant 4 0Participant 5 0Participant 6 0Participant 7 0Participant 8

51 0Team 1 0Team 2 0Team 3 0Team 4 0Team 5 0Team 6 0Team 7 0Team 8 HOME Team Scores HOME

52 C4-400: Find the missing angle measures in the triangle below. 10 A.60˚ B.30˚ C.90˚ D.45˚ 30˚ 60˚ x

53 Fastest Responders (in seconds) 0Participant 1 0Participant 2 0Participant 3 0Participant 4 0Participant 5 0Participant 6 0Participant 7 0Participant 8

54 0Team 1 0Team 2 0Team 3 0Team 4 0Team 5 0Team 6 0Team 7 0Team 8 HOME Team Scores HOME

55 C4-600: Find x in the triangle below. 10 30˚ 60˚ 90˚ x 6

56 Fastest Responders (in seconds) 0Participant 1 0Participant 2 0Participant 3 0Participant 4 0Participant 5 0Participant 6 0Participant 7 0Participant 8

57 0Team 1 0Team 2 0Team 3 0Team 4 0Team 5 0Team 6 0Team 7 0Team 8 HOME Team Scores HOME

58 C4-800: Find the missing angle measures in the triangle below. 10 A.80˚ B.35˚ C.45˚ D.50˚ 90˚ x˚ 33

59 Fastest Responders (in seconds) 0Participant 1 0Participant 2 0Participant 3 0Participant 4 0Participant 5 0Participant 6 0Participant 7 0Participant 8

60 0Team 1 0Team 2 0Team 3 0Team 4 0Team 5 0Team 6 0Team 7 0Team 8 HOME Team Scores HOME

61 C4-1000: Find the length of the hypotenuse of a 45-45-90 triangle with a leg length of 77 centimeters. 10

62 Fastest Responders (in seconds) 0Participant 1 0Participant 2 0Participant 3 0Participant 4 0Participant 5 0Participant 6 0Participant 7 0Participant 8

63 0Team 1 0Team 2 0Team 3 0Team 4 0Team 5 0Team 6 0Team 7 0Team 8 HOME Team Scores HOME

64 C5-200: This is the angle formed by a HORIZONTAL line (line of sight) to an object ABOVE the horizontal. 10 A. Angle of Elevation B. Angle of Depression

65 Fastest Responders (in seconds) 0Participant 1 0Participant 2 0Participant 3 0Participant 4 0Participant 5 0Participant 6 0Participant 7 0Participant 8

66 0Team 1 0Team 2 0Team 3 0Team 4 0Team 5 0Team 6 0Team 7 0Team 8 HOME Team Scores HOME

67 C5-400: We can use angles of elevation and depression to find what? 10 A.Sea level B.Coffee C. Elevation D. Distance between 2 objects

68 Fastest Responders (in seconds) 0Participant 1 0Participant 2 0Participant 3 0Participant 4 0Participant 5 0Participant 6 0Participant 7 0Participant 8

69 0Team 1 0Team 2 0Team 3 0Team 4 0Team 5 0Team 6 0Team 7 0Team 8 HOME Team Scores HOME

70 C5-600: Horizontal lines are parallel, so the angle of elevation and the angle of depression in the diagram are _____________by the Alternate Interior Angles Theorem. 10 A.complimentary B.opposite C.congruent D.similar ------------------------------------ Line of sight

71 Fastest Responders (in seconds) 0Participant 1 0Participant 2 0Participant 3 0Participant 4 0Participant 5 0Participant 6 0Participant 7 0Participant 8

72 0Team 1 0Team 2 0Team 3 0Team 4 0Team 5 0Team 6 0Team 7 0Team 8 HOME Team Scores HOME

73 C5-800: A roofer props a ladder against a wall so that the top of the ladder reaches a 30-ft roof. If the angle of elevation from the bottom of the ladder to the roof is 55degrees, how far is the ladder from the base of the wall? 10 A.21ft B.43ft C.17ft D.25ft ------------------------------------ Line of sight

74 Fastest Responders (in seconds) 0Participant 1 0Participant 2 0Participant 3 0Participant 4 0Participant 5 0Participant 6 0Participant 7 0Participant 8

75 0Team 1 0Team 2 0Team 3 0Team 4 0Team 5 0Team 6 0Team 7 0Team 8 HOME Team Scores HOME

76 C5-1000: If Gian wants to kick the football at least one foot above the goal post which is 10feet high and 25 yards away, what would be the smallest angle from which he could kick the ball. 10 A.11˚ B.25˚ C.8˚ D.5˚

77 Fastest Responders (in seconds) 0Participant 1 0Participant 2 0Participant 3 0Participant 4 0Participant 5 0Participant 6 0Participant 7 0Participant 8

78 0Team 1 0Team 2 0Team 3 0Team 4 0Team 5 0Team 6 0Team 7 0Team 8 HOME Team Scores HOME

79 Ms Usry Creekside High HOME http://www.tinytips.org Kimberly.usry@stjohns.k12.fl.us

Download ppt "Jeopardy Review Chapter 8 Geometric Means, Pythagorean Theorem and its Inverse, Special Triangles, Trigonometry, and Angles of Elevation and Depression."

Similar presentations

Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems 100 200 300 400 500 100 200 300 400 500 100 200 300.

Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems
Right Triangle Trigonometry

Right Triangle Trigonometry
TRIGONOMETRY OF RIGHT TRIANGLES. TRIGONOMETRIC RATIOS Consider a right triangle with as one of its acute angles. The trigonometric ratios are defined.

TRIGONOMETRY OF RIGHT TRIANGLES. TRIGONOMETRIC RATIOS Consider a right triangle with as one of its acute angles. The trigonometric ratios are defined.
 Old stuff will be used in this section › Triangle Sum Theorem  The sum of the measures of the angles in a triangle is 180° › Pythagorean Theorem 

 Old stuff will be used in this section › Triangle Sum Theorem  The sum of the measures of the angles in a triangle is 180° › Pythagorean Theorem 
Textbook: Chapter 13. ** Make sure that your calculator is set to the proper mode**

Textbook: Chapter 13. ** Make sure that your calculator is set to the proper mode**
Jeopardy Trig fractions Solving For Angles Solving for Sides Words are Problems?! Other Right Stuff $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.

Jeopardy Trig fractions Solving For Angles Solving for Sides Words are Problems?! Other Right Stuff $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.
TODAY IN GEOMETRY…  Review: Methods solving for missing sides of a right triangle  Learning Target: 7.6 Finding an angle using inverse Trigonometry 

TODAY IN GEOMETRY…  Review: Methods solving for missing sides of a right triangle  Learning Target: 7.6 Finding an angle using inverse Trigonometry 
Pythagorean Theorem Formula: a2 + b2 = c2 This formula helps determine two things: the lengths of the different sides of a right triangle, and whether.

Pythagorean Theorem Formula: a2 + b2 = c2 This formula helps determine two things: the lengths of the different sides of a right triangle, and whether.
Trigonometry (RIGHT TRIANGLES).

Trigonometry (RIGHT TRIANGLES).
Chapter 6: Trigonometry 6.2: Trigonometric Applications

Chapter 6: Trigonometry 6.2: Trigonometric Applications
Right Triangle Trigonometry Find the value of trigonometric functions of acute angles Use the complementary angle theorem Solve right triangles Solve applied.

Right Triangle Trigonometry Find the value of trigonometric functions of acute angles Use the complementary angle theorem Solve right triangles Solve applied.
Right Triangle Trigonometry Section 4-3. 2 Objectives I can use Special Triangle Rules I can identify how the 6 trig functions relate to the memory aide.

Right Triangle Trigonometry Section Objectives I can use Special Triangle Rules I can identify how the 6 trig functions relate to the memory aide.
Trigonometry and angles of Elevation and Depression

Trigonometry and angles of Elevation and Depression
 In a right triangle, the trigonometric ratios are as follows:  A way to help remember this is: › SOH-CAH-TOA.

 In a right triangle, the trigonometric ratios are as follows:  A way to help remember this is: › SOH-CAH-TOA.
 In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs  a 2 + b 2 = c 2 a, leg.

 In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs  a 2 + b 2 = c 2 a, leg.
9.1 – Similar Right Triangles. Theorem 9.1: If the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed are similar.

9.1 – Similar Right Triangles. Theorem 9.1: If the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed are similar.
Trigonometry. Logarithm vs Natural Logarithm Logarithm is an inverse to an exponent log 3 9 = 2 Natural logarithm has a special base or e which equals.

Trigonometry. Logarithm vs Natural Logarithm Logarithm is an inverse to an exponent log 3 9 = 2 Natural logarithm has a special base or e which equals.
Geometry Notes Lesson 5.3A – Trigonometry T.2.G.6 Use trigonometric ratios (sine, cosine, tangent) to determine lengths of sides and measures of angles.

Geometry Notes Lesson 5.3A – Trigonometry T.2.G.6 Use trigonometric ratios (sine, cosine, tangent) to determine lengths of sides and measures of angles.
Right Triangle Trigonometry

Right Triangle Trigonometry
θ hypotenuse adjacent opposite There are 6 trig ratios that can be formed from the acute angle θ. Sine θ= sin θCosecant θ= csc θ Cosine θ= cos θSecant.

θ hypotenuse adjacent opposite There are 6 trig ratios that can be formed from the acute angle θ. Sine θ= sin θCosecant θ= csc θ Cosine θ= cos θSecant.

Similar presentations

Ads by Google