Chapter 10 Jeopardy By: Ryan Gorman, Matt Margulies, Rishab Lal, and Gabe Shindnes.
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Transcript of Chapter 10 Jeopardy By: Ryan Gorman, Matt Margulies, Rishab Lal, and Gabe Shindnes.
Chapter 10 Jeopardy
By: Ryan Gorman, Matt Margulies, Rishab Lal, and Gabe Shindnes
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FINAL JEOPARDY!FINAL JEOPARDY!
FINAL JEOPARDY
!
FINAL JEOPARDY! Question
How many licks does it take to get to the center of a tootsie pop?
4
FINAL JEOPARDY! Answer
10.7100
Write the standard equation of a circle with center (0,-9) and radius 4.2.
x² + (y + 9) = 17.64
10.7200
The standard equation of a circle can be written for any circle with know ____ and ____.
Center, Radius
10.7300
Determine whether the given equation defines a circle. If the equation defines a circle, rewrite the equation in standard form:
x² + y² - 6y + 9 = 4
Circle; x² + (y – 3)² = 4
10.7400
Use the given equation of a circle and a line to determine whether the line is a tangent, secant, secant that contains a diameter, or none of these:
Circle: (x - 4)² + (y - 3)² = 9
Line: y = -3x + 6
Secant
10.7500
The diameter of a CD is about 4.8 inches. The diameter of the hole in the center is about 0.6 inches. You place a CD on the coordinate plane with center at (0,0). Write the equations for the outside edge of the disc and edge of the hole in the center.
x² + y² = 5.76
x² + y² = 0.09
10.6400
• A perpendicular bisector passes through the center and bisects a chord. The length of the diameter is 2 and 2x+6, and the chord is bisected with an x length and another x length, what is the value of x?
10.4400
• X=6
10.6500
• If chord AB intersects chord CD at point E inside the circle and AE has a length of x+2, BE has a length of x+1, CE has a length of x+4, and DE has a length of x, what is the value of x?
10.6500
• 2
10.6300
• If a tangent meets point E and a secant meets at point E, what is the relationship of the tangent in secant?
10.6300
• EA²=EC x ED
10.6200
• If secant AB and secant CD meet at point E outside the circle and EA has a length of 3, EC has a length of 4, AB has a length of 8, what is the length of CD?
10.6200
• 6
10.6100
• If chord AB intersects chord CD at point E inside the circle and AE has a length of 6, BE has a length of 7, CE has a length of 10, what is the length of DE?
10.6100
• 4.2
10.5500
• You’re flying on a plane 1.2 miles above the ground. Figure out the measure of the arc that represents the part of Earth that you can see.
10.5500
• About 2.8°
10.5400
• Circle EFG is inscribed in Triangle PQR. If angle Q is 60°, angle P is 40°, and angle R is 80°, what is the measure of arc EG, FG, and GE?
10.5400
• 120°,100°,and 140°
10.5300
• If tangent AB and secant CD meet at A and arc AC is 40° and arc AD is 70°, what is the measure of angle BAC?
10.5300
• 55°
10.5200
• In a circle chords AB and CD intersect at point E. If arc AB is 40° and CD is 90°, then what is the angle of AEB?
10.5200
• 65°
10.5100
• In circle A chord BC meets at tangent DE. If angle BCD is 40°, what is the measure of arc BC?
10.5100
• 80°
10.4500
• If central angle ADC is 60° then what is the measure of inscribed angle ABC?
• 30°
10.4400
• If inscribed angle EFG is (8x+10)° and arc EG is (12x+40)° then what is x?
• 5
10.4300
• If quadrilateral EFGH is inscribed in circle Z and angle E is 73° then what is the measure of angle G?
• 107
10.4200
• If there is a right triangle inscribed in a circle then the hypotenuse is the ________ of the circle.
• Diameter
10.4100
• If the inscribed angle ABC is 63° then what is the measure of arc AB?
• 126
10.3500
• If AB and DC are equidistant to the center of circle E and AB is 3x²-9 and DC is 3x+9 what is x?
• -2
10.3400
• If chord AB and chord CB are congruent and arc AC is 130° then what are the measure of arc AB and arc CB?
• AB and BC both are 115°
10.3300
• If chord DE and chord BA are equidistant to the center of circle C and arc BA is 135° then what is the measure of arc DE?
• 135°
10.3200
• If the diameter is perpendicular to a chord then what does it do to the length of the arc and chord?
• It cuts the length of the arc and chord in half( it bisects the arc and chord)
10.3100
• What is the relationship between the arcs of two congruent chords?
• They are congruent
Double Jeopardy
On a clock with hour and minute hands set to 1 pm, at what time before 2 pm to the nearest minute will the hour and the minute hands form a diameter?
10.2Double Jeopardy
• 1:38pm
10.2 400
• Circle P has a radius of 3 and arc AB has a measure of 90°, what is the length of line segment AB?
• 3√2
10.2300
• If arc AB is 83° and arc BC is 81°, what is the length of arc ABC?
• 164°
10.2200
• If angle ACB and angle DCE are congruent central angles of circle C, then arc AB and arc DE are _________?
• Congruent
10.2100
• What is the definition of a minor and major arc?
• Minor arc: An arc that is less than 180°
• Major arc: An arc that is greater than 180°
10.1500
• If two tangent segments from the same point have a length of 4x – 1 and 3x² + 4x -4, what is the value of x?
• 1
10.1 400
• What is the relationship between a tangent and a radius?
• They are perpendicular
10.1300
• If two tangent segments from the same point have a length of 28 and of 3x + 4, what is the value of x?
• 8
10.1200
• What is the relationship between tangents from a common external point?
• They are congruent
10.1 100
• What is line DE?
Tangent