Chapter 10 Jeopardy By: Ryan Gorman, Matt Margulies, Rishab Lal, and Gabe Shindnes
FINAL JEOPARDY!
FINAL JEOPARDY! Question How many licks does it take to get to the center of a tootsie pop?
4 FINAL JEOPARDY! Answer
Write the standard equation of a circle with center (0,-9) and radius 4.2.
x² + (y + 9) = 17.64
The standard equation of a circle can be written for any circle with know ____ and ____.
Center, Radius
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
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
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
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?
X=6
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?
If a tangent meets point E and a secant meets at point E, what is the relationship of the tangent in secant?
EA²=EC x ED
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?
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?
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.
About 2.8°
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?
°,100°,and 140°
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?
°
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?
°
In circle A chord BC meets at tangent DE. If angle BCD is 40°, what is the measure of arc BC?
°
If central angle ADC is 60° then what is the measure of inscribed angle ABC?
30°
If inscribed angle EFG is (8x+10)° and arc EG is (12x+40)° then what is x?
5
If quadrilateral EFGH is inscribed in circle Z and angle E is 73° then what is the measure of angle G?
107
If there is a right triangle inscribed in a circle then the hypotenuse is the ________ of the circle.
Diameter
If the inscribed angle ABC is 63° then what is the measure of arc AB?
126
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
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°
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°
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)
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?
10.2 Double Jeopardy 1:38pm
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
If arc AB is 83° and arc BC is 81°, what is the length of arc ABC?
164°
If angle ACB and angle DCE are congruent central angles of circle C, then arc AB and arc DE are _________?
Congruent
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°
If two tangent segments from the same point have a length of 4x – 1 and 3x ² + 4x -4, what is the value of x?
1
What is the relationship between a tangent and a radius?
They are perpendicular
If two tangent segments from the same point have a length of 28 and of 3x + 4, what is the value of x?
8
What is the relationship between tangents from a common external point?
They are congruent
What is line DE?
Tangent