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TRANSCRIPT
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To Play:•Pick a topic column•Pick a point value •Be the first to buzz in the correct answer!
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Click to begin.
1. For students to use as a review before quiz on section 10.1-10.52. To engage students in a fun way to learn the information
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Click here for Final Jeopardy
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10.2 10.4 Vocabulary
10 Point
20 Points
30 Points
40 Points
50 Points
10 Point 10 Point 10 Point 10 Point
20 Points 20 Points 20 Points 20 Points
30 Points
40 Points
50 Points
30 Points 30 Points 30 Points
40 Points 40 Points 40 Points
50 Points 50 Points 50 Points
10.310.1
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Circle A has diameters BD and CE.If BD =12 and CE=12, find BA.
A
B
C
E
D
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BA=6
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Find the Circumference of Circle AIf the radius is 8
AB
C
D
E
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Circumference = 50.27
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Circle A has diameters BD and CE. If BD and CE both = 14,Find the Radius of BA and CA. Once you solve for CA and BA, solve For QA.
A
B
C
D
E
Q
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BA and CA=7QA=7
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The diameter for circle B is 12 inches, the diameter of circle A is 22 Inches, and the diameter of circle C is 14 inches. Find XA.
A CB X Y
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BX + XA=BA6+XA= 11
XA=5
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Find the exact circumference of circle A. (Hint: use Pythagorean theorem.)
A8
15
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64+225=c squared289=CC= 17
Circumference = Pi x diameterCircumference of circle A = 53.41
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Find Angle CAE( Hint: Angles CAE and EAB are linear pairs)
AC B
D
E
F225x
4x
3x
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25x+4x+3x=18032x=180X= 5.625
25(5.625) =140.625
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Find the measure of arc EF
AB
C
E
D
F
45 degrees
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EF= 45 degrees
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AB=12 and angle BAC=120 degrees, find the length of arc BC.
A
B
C
120 degrees
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C=2(pi)(12) or 24pi120/360=AC/24pi120/360(24pi)=AC
25.13=AC
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In circle A, BA is the radius and BC is a minor arc.If BA=5 inches and the length of BC is 4Pi inches, what is themeasure of angle BAC.A.144 degreesB. 72 degrees C. 150 degreesD. 120 degrees.
A
B
C
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A. 144 degrees
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In circle A, angle BAF=40 degrees and CA bisects AD. Find arc BE, arc CDE, and arc FCE
A40 degrees
B C
DF
E
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DE=40 CDE= 130 FCE= 220
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A regular octagon is inscribed in a circle as part of a stained glass artpiece. If opposite vertices are connected by a line segment, what is
The measure of angle BAC?
A
B
C
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Angle BAC = 135
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Chords CE and BD are equidistant from the center.If the radius of circle A is 30, find CE and FD
A
B C
D E
F G10 10
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(CG)^2+(GA)^2=(CA)^2(CG)^2+10^2=30^2
(CG)^2=100=900(CG)^2=800CG=28.2843
CG=1/2(GA), so GA=2(28.2843) or 56.5685CF is congruent to DB, so DG also equals 56.5685.
DF=1/2 of DG so DF=28.2843
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The radius of Circle A= 10, AD=6Find BD and BC.
A
B
C
D6
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6^2+x^2=10^236+x^2=100
X^2=64X=8
BD=8BC=16
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Determine the measure for the arc of the circle circumscribed about the traffic sign.
A
A
B
C
D
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Measure of arc AB= arc BC= arc CD= arc DA=90
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In circle A, BG is congruent to CF and AC=10 Find the measures ofCE, CF, BG, and BD.
A
B C
D E
FG
6
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6^2+x^2=10^236+x^2=100
X^2=64X=8
CE=8CF=16BD=8
BG=16
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Find the measure of each numbered angle for the figure above.Measure of angle 1=x, measure of angle 2=2x-20
A
1 2
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Measure of angle 1=measure of angle2X=2x-20
X=20Angles 1 and 2=20
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Triangles BDE and BEC are inscribed in circle A with arc BDCongruent to arc DE. Find the measure of angle 1 and angle 2 if the
Measure of angle 1= 12x-8 and measure of angle 2= 3x+8
A
B
C
D
E
1
2
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Measure of angle 1+measure of angle 2+ measure of angle BCE=180X=6
Angle 1=64, angle 2=26
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Measure of angle D=1/3x+5Measure of angle B= 1/2x
Find the measure of each numbered angle for the figure above
A
B
C D
1
2 3
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Angle 1=51Angle 2=90Angle 3=39
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Quadrilateral BCDE is inscribed in a circle. Find the measure ofangles D and E.
A35
100
B
C
D
E
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Angle D=145Angle E=80
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Acute Angles are_____ equilateral.Equilateral triangles are _____ isosceles.
Obtuse triangles are _____ Scalene.
Fill in the following statements with sometimes, always or never.Each word can be used more than once.
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SometimesAlways
Sometimes
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A Chord that passes through the center of a circle.
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Diameter
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The distance around a circle.
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Circumference
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An arc that measures less than180 degrees.
An arc that measures greater than180 degrees.
An arc that measures 180 degrees
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Minor ArcMajor ArcSemicircle
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The measure of an arc formed by two adjacent arcs in the sum of the measures of two arcs.
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Postulate 10.1
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In a circle or in congruent circles,Two chords are congruent if and only
If they are equidistant from the center.
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Theorem 10.4
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PLACE YOUR WAGER!
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Given: Circle B, arc GF is congruent to arc DEProve: GF is congruent to ED
(Theorem 10.2)
B
F
D
E
G
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1. Circle B, arc GF s congruent to arc DE-Given2. Angle GBF is congruent to angle EBD- if arcs are congruent, theirCorresponding central angles are congruent.3. GB is congruent to FB is congruent to BE is congruent to DB- all Radii of a circle are congruent4. Triangle GBF is congruent to Triangle EBD- SAS5. GF is congruent to ED- CPCTC