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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 10.1-10.5 2.To engage students in a fun way to learn the information
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Click here for Final Jeopardy
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10.210.4Vocabulary 10 Point 20 Points 30 Points 40 Points 50 Points 10 Point 20 Points 30 Points 40 Points 50 Points 30 Points 40 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 A If the radius is 8 A B 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=7 QA=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 C B XY
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BX + XA=BA 6+XA= 11 XA=5
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Find the exact circumference of circle A. (Hint: use Pythagorean theorem.) A 8 15
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64+225=c squared 289=C C= 17 Circumference = Pi x diameter Circumference of circle A = 53.41
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Find Angle CAE( Hint: Angles CAE and EAB are linear pairs) A CB D E F 225x 4x 3x
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25x+4x+3x=180 32x=180 X= 5.625 25(5.625) =140.625
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Find the measure of arc EF A B 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 24pi 120/360=AC/24pi 120/360(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 the measure of angle BAC. A.144 degreesB. 72 degreesC. 150 degrees144 degreesB. 72 degreesC. 150 degrees D. 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 A 40 degrees BC 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 art piece. 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 DE FG 10
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(CG)^2+(GA)^2=(CA)^2 (CG)^2+10^2=30^2 (CG)^2=100=900 (CG)^2=800 CG=28.2843 CG=1/2(GA), so GA=2(28.2843) or 56.5685 CF 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=6 Find BD and BC. A B C D 6
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6^2+x^2=10^2 36+x^2=100 X^2=64 X=8 BD=8 BC=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 of CE, CF, BG, and BD. A B C DE FG 6
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6^2+x^2=10^2 36+x^2=100 X^2=64 X=8 CE=8 CF=16 BD=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 angle2 X=2x-20 X=20Angles 1 and 2=20
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Triangles BDE and BEC are inscribed in circle A with arc BD Congruent 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=180 X=6 Angle 1=64, angle 2=26
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Measure of angle D=1/3x+5 Measure 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=51 Angle 2=90 Angle 3=39
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Quadrilateral BCDE is inscribed in a circle. Find the measure of angles D and E. A 35 100 B C D E
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Angle D=145 Angle 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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Sometimes Always 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 than 180 degrees. An arc that measures greater than 180 degrees. An arc that measures 180 degrees
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Minor Arc Major Arc Semicircle
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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 DE Prove: 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-GivenCircle B, arc GF s congruent to arc DE-Given 2.Angle GBF is congruent to angle EBD- if arcs are congruent, theirAngle GBF is congruent to angle EBD- if arcs are congruent, their Corresponding central angles are congruent. 3. GB is congruent to FB is congruent to BE is congruent to DB- all Radii of a circle are congruent 4. Triangle GBF is congruent to Triangle EBD- SAS 5. GF is congruent to ED- CPCTC
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