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Jeopardy Review
Chapter 8Geometric Means, Pythagorean Theorem and its Inverse,
Special Triangles, Trigonometry, and Angles of Elevation and Depression
Please select a Team.
A. B. C. D. E. F. G. H.
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A. Team 1B. Team 2C. Team 3D. Team 4E. Team 5F. Team 6G. Team 7H. Team 8
Triangles, Trig, and Angles
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Geometric Means
Pythagorean Theorem and
Its Inverse
Angles of Elevation and Depression
Trigonometry
Special Triangles
C1-200: Find the geometric mean between 7 and 11.
A. B. C. D.
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A. 7B. √77 ≈ 8.8C. 11D. 77
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C1-400: Find the geometric mean between 12 and 9.
A. B. C. D.
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A. 6√3 ≈ 10.4B. 12C. 9D. 108
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A. B. C. D.
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10A. 120
C1-600: Find the geometric mean between
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C1-800: In the diagram find x, y, and z.
A. B. C. D.
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A. X=6, y=3, z=2B.
x
9
4
y
z
x
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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?
A. B. C. D.
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A. 8.2 ftB. 16 ftC. 10 ftD. 7 ft
x
2 ft
8ft
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C2-200: Find x.
A. B. C. D.
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A. 6B. 36C. 698D.
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C2-400: Find x and y:
A. B. C. D.
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A. B. C.
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C2-600: Given the lengths of 104, 106, and 10, could this be a right triangle?
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A. YesB. NoC. Possibly if we knew more D. Not enough information
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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
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A. NoB. Yes, 9C. Not enough infoD. Yes, 4.2
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C2-1000: Use a Pythagorean triple to find x given side lengths of a right triangle are 45ft and 24ft.
A. B. C. D.
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A. 36B. 51C. 12D. 13
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C3-200: Given two side lengths of a right triangle we can use which trigonometric ratio to find an angle?
A. B. C. D.
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A. sin-1
B. cos-1
C. tanD. tan-1
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C3-400: Find sin
A. B. C. D.
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A. 3/5 B. 4/5C. 4/3D. 3/4
𝜃
3
4
5
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C3-600: Find tan.
A. B. C. D.
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A. 5/13B. 12/5C. 13/12D. 5/12
5
12
𝜃
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C3-800: Find the angle .
A. B. C. D.
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A. 60degB. 60.3degC. 45degD. 30deg
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𝜃14
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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?
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A. Use B. Use cosC. Solve for , then ratios to
solve for the hypotenuseD. Use tan
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C4-200: Find the missing angle measures in the triangle below.
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A. 90˚B. 45˚C. 30˚D. 60˚
90˚
45˚ x
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C4-400: Find the missing angle measures in the triangle below.
A. B. C. D.
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A. 60˚B. 30˚C. 90˚D. 45˚
30˚
60˚
x
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C4-600: Find x in the triangle below.
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A. 3
B. 2
30˚ 60˚
90˚x
6
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C4-800: Find the missing angle measures in the triangle below.
A. B. C. D.
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A. 80˚B. 35˚C. 45˚D. 50˚
90˚
x˚ x˚
3 3
3
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C4-1000: Find the length of the hypotenuse of a 45-45-90 triangle with a leg length of 77 centimeters.
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A. 77.3 cmB. cm
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C5-200: This is the angle formed by a HORIZONTAL line (line of sight) to an object ABOVE the horizontal.
A. B. C. D.
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A. Angle of ElevationB. Angle of Depression
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C5-400: We can use angles of elevation and depression to find what?
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A. Sea levelB. CoffeeC. ElevationD. Distance between 2 objects
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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.
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A. complimentaryB. oppositeC. congruentD. similar
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Line of sight
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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?
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A. 21ftB. 43ftC. 17ftD. 25ft
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Line of sight
55 °
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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.
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A. 11˚B. 25˚C. 8˚D. 5˚
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