Arcs, Chords, and Central Angles
Find mIJ A. 100 degrees B. 110 degrees C. 150 degrees D. 250 degrees
A. 100 degrees
Given that AC is a diameter of the circle above and that m<ABD=64 degrees, find m<DBC A. 26 degrees B. 36 degrees C. 46 degrees D. 64 degrees
A. 26 degrees
Given that DA is a diameter of circle B, <CBA is a right angle, and mAF=65 degrees, find mDE. A. 29 degrees B. 36 degrees C. 49 degrees D. 61 degrees
A. 29 degrees
For circle P, find QN if LM = ON = 7. A. 3.5 B. 7/5 C. 14 D. 21
A. 3.5
In circle D, if DB~=DC and AZ=8, find x A. 5 B. 6 C. 7 D. 9
A. 5
If mJML=306.63 degrees, find mLJ. A. 53.37 degrees B. 63.37 degrees C. 73.37 degrees D. 83.37 degrees
A. 53.37 degrees
If mJML=306.63 degrees, find mLJ. A. 53.37 degrees B. 63.37 degrees C. 74.37 degrees D. 83.37 degrees
A. 53.37 degrees
If LP is a diameter of circle M and LP perpen. QO, find NO. A. 7 B. 11 C. 14 D. 21
A. 7
If RT is a diameter of circle Q, find m<RQS. A. 88 degrees B. 89 degrees C. 92 degrees D. 101 degrees
A. 88 degrees
Statements Reasons 1. c.Y, AB~=ZX 1. Given 2. <BYA~=<XYZ 2. If the arcs are congruent, then their corresponding central angles are also congruent. 3. YB~=YA~=YZ~=YX 3. All radii of a circle are congruent. 4. YAB~=YZX 4. __________ 5. AB~=ZX 5. __________ A. SAS, CPCTC B. CPCTC, SAS C. AAS, CPCTC D. CPCTC, AAS
A. SAS, CPCTC
What is the value of x? A. 5 B. 8 C. 10 D. 15
B. 8
What type of arc is AB? A. an acute arc B. a minor arc C. a major arc D. a semicircle
B. a minor arc
If CA is a diameter of circle B, find mEA. A. 77 degrees B. 99 degrees C. 103 degrees D. 126 degrees
C. 103 degrees
Find the diameter of circle N if PQ = 14 and PR~=RQ. Round the answer to the tenths place. A. 8.6 B. 16. 8 C. 17.2 D. 19.3
C. 17.2
Find the diameter of circle N if PQ=14 and PR~=RQ. Round the answer to the tenths place. A. 8.6 B. 16.8 C. 17.2 D. 19.3
C. 17.2
If TV is a diameter of circle S and TV perpen. UW, find the diameter of circle S if TV = 7x+3. A. 21 B. 22 C. 24 D. 27
C. 24
If H is the center of the circle, find mGJI. A. 117.33 degrees B. 222.57 degrees C. 242.67 degrees D. 256.56 degrees
C. 242.67 degrees
If m<QPS = 15 degrees, find mRT A. 65 degrees B. 75 degrees C. 60 degrees D. 55 degrees
C. 60 degrees
Given that W si the center of the circle and that TS ~= VU, find VU if WX = 4 and WS = 6. Round the answer to two decimal places. A. 4.47 B. 7.07 C. 8.94 D. 9.13
C. 8.94
Find m<FGD. A. 42.5 degrees B. 70 degrees C. 85 degrees D. 170 degrees
C. 85 degrees
If FJ is a diameter of circleG and FJ perpen. IK, find mIK. A. 47 degrees B. 87 degrees C. 94 degrees D. 101 degrees
C. 94 degrees
If X is the center of the circle, find m<A. A. 72 degrees B. 78 degrees C. 95 degrees D. 190 degrees
C. 95 degrees
Find the value of x and the value of y. A. x=100, y=80 B. x=85, y=100 C. x=80, y=100 D. x=100, y=85
D. x=100, y=85
Find mCE. A. 40 degrees B. 50 degrees C. 75 degrees D. 80 degrees
B. 50 degrees
In circle W, given that WV~=WU, find TS if VQ=13. A. 6.5 B. 13 C. 19.5 D. 26
D. 26
If BE is a diameter of the circle, find mAB. A. 40 degrees B. 50 degrees C. 75 degrees D. 80 degrees
B. 50 degrees
If GH is a diameter of circle F, find the measurement of the minor arc JI. A. 51 degrees B. 102 degrees C. 112 degrees D. 258 degrees
B. 102 degrees
In the diagram above, <ADC is a central angle and m<ADC=60 degrees. What is m<ABC? A. 15 degrees B. 30 degrees C. 60 degrees D. 120 degrees
B. 30 degrees
Given that YX is a diameter of circle V, find m<ZVX if m<YVZ=(15x-1) degrees, m<WVX=(8x-2) degrees, m<UVW=(7x+15) degrees, and m<YVU=(3x+5) degrees. A. 32 degrees B. 46 degrees C. 70 degrees D. 134 degrees
B. 46 degrees
Statements Reasons 1. OP pepen. RQ 1. Given 2. NR~=NQ~=NP 2. All radii of a circle are congruent 3. NM~=NM 3. Reflexive property of congruence 4. <OMR and <OMQ are right angles 4. Definition of perpendicular lines 5. NMQ~=NMR 5. HL theorem 6. <RNP~=<QNP 6. __________ 7. PR~=PQ 7. __________ A. SSS, Angles-chords-arcs conguency theorem B. ASA, CPCTC C. CPCTC, Angles-chords-arcs conguency theorem D. Angles-chords-arcs conguency theorem, CPCTC
C. CPCTC, Angles-chords-arcs conguency theorem
The measure of an inscribed angle is ________ the measure of a central angle with the same endpoints. A. equal to B. double C. half D. one-third
C. half
If IK~=JK, find mIJ. A. 72 degrees B. 82 degrees C. 122 degrees D. 134 degrees
D. 134 degrees
If EF~=HG and HG=16, find the diameter of circle K. A. 8 B. 10 C. 16 D. 20
D. 20
If EF~=HG and HG=16, find the diameter of circle K. A. 8 B. 10 C.16 D. 20
D. 20
In circleO, if LP~=LK, find the measurement of the major arc PNK. A. 112 degrees B. 156 degrees C. 224 degrees D. 248 degrees
D. 248 degrees
Given that BD~=BC, find the diameter of circle Z id AB=6x+1 A. 5 B. 10 C. 12 D. 13
D. 13
Given that BD~=BC, find the diameter of circle Z if AB = 6x+1. A. 5 B. 10 C. 12 D. 13
D. 13
If GF~=JK and <G~=J, what can you conclude about the minor arcs, the major arcs, and the circles in general?
Given that angle G is congruent to angle J, minor arc HF is congruent to minor arc IK, and major arc HF is congruent to major arc IK. Thus, given this information, we can conclude that circle G is congruent to circle J.
