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