Download Geometry SIA #4, Review #1

Name: ________________________ Class: ___________________ Date: __________
Geometry SIA #4, Review #1
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Based on the pattern, what are the next two terms of the sequence?
9, 15, 21, 27, . . .
a. 33, 972
b. 39, 45
c. 162, 972
____
2. Based on the pattern, what are the next two terms of the sequence?
5 5 5 5
5, , ,
, ,...
3 9 27 81
5
5
5
5
a.
,
,
c.
84 246
243 246
5
5
5
5
,
,
b.
d.
243 729
84 87
____
3. What conjecture can you make about the fifteenth figure in this pattern?
a.
The fifteenth figure in the pattern is
.
b.
The fifteenth figure in the pattern is
.
c.
d.
The fifteenth figure in the pattern is
There is not enough information.
.
1
d.
33, 39
ID: A
Name: ________________________
ID: A
____
4. What conjecture can you make about the fourteenth term in the pattern A, B, A, C, A, B, A, C?
a. The fourteenth term is B.
c. The fourteenth term is A.
b. The fourteenth term is C.
d. There is not enough information.
____
5. What conjecture can you make about the sum of the first 10 odd numbers?
c. The sum is 9  10  90.
a. The sum is 10  10  100.
b. The sum is 10  11  110.
d. The sum is 11  11  121.
____
6. What conjecture can you make about the sum of the first 10 positive even numbers?
2
=
2 = 12
2+4
=
6 = 23
2+4+6
= 12 = 3  4
2+4+6+8
= 20 = 4  5
2 + 4 + 6 + 8 + 10
= 30 = 5  6
a.
b.
The sum is 9  10.
The sum is 10  10.
c.
d.
The sum is 11  12.
The sum is 10  11.
____
7. Alfred is practicing typing. The first time he tested himself, he could type 23 words per minute. After practicing
for a week, he could type 26 words per minute. After two weeks he could type 29 words per minute. Based on
this pattern, predict how fast Alfred will be able to type after 4 weeks of practice.
a. 39 words per minute
c. 35 words per minute
b. 29 words per minute
d. 32 words per minute
____
8. What is a counterexample for the conjecture?
Conjecture: Any number that is divisible by 4 is also divisible by 8.
a. 24
b. 40
c. 12
____
9. What is the conclusion of the following conditional?
A number is divisible by 2 if the number is even.
a. The number is divisible by 2.
b. If a number is even, then the number is divisible by 2.
c. The sum of the digits of the number is divisible by 2.
d. The number is even.
____ 10. Identify the hypothesis and conclusion of this conditional statement:
If two lines intersect at right angles, then the two lines are perpendicular.
a. Hypothesis: The two lines are perpendicular.
Conclusion: Two lines intersect at right angles.
b. Hypothesis: Two lines intersect at right angles.
Conclusion: The two lines are perpendicular.
c. Hypothesis: The two lines are not perpendicular.
Conclusion: Two lines intersect at right angles.
d. Hypothesis: Two lines intersect at right angles.
Conclusion: The two lines are not perpendicular.
2
d.
26
Name: ________________________
ID: A
____ 11. What is the converse of the following conditional?
If a point is in the first quadrant, then its coordinates are positive.
a. If a point is in the first quadrant, then its coordinates are positive.
b. If a point is not in the first quadrant, then the coordinates of the point are not positive.
c. If the coordinates of a point are positive, then the point is in the first quadrant.
d. If the coordinates of a point are not positive, then the point is not in the first quadrant.
____ 12. If possible, use the Law of Detachment to draw a conclusion from the two given statements. If not possible,
write not possible.
Statement 1: If x = 3, then 3x – 4 = 5.
Statement 2: x = 3
a. 3x – 4 = 5
c. If 3x – 4 = 5, then x = 3.
b. x = 3
d. not possible
____ 13. Use the Law of Detachment to draw a conclusion from the two given statements.
If two angles are congruent, then they have equal measures.
P and Q are congruent.
a. mP + mQ = 90
b. mP = mQ
c.
d.
P is the complement of Q.
mP  mQ
____ 14. Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not
possible.
I can go to the concert if I can afford to buy a ticket.
I can go to the concert.
a. I can afford to buy a ticket.
b. I cannot afford to buy the ticket.
c. If I can go to the concert, I can afford the ticket.
d. not possible
____ 15. Use the Law of Syllogism to draw a conclusion from the two given statements.
If you exercise regularly, then you have a healthy body.
If you have a healthy body, then you have more energy.
a. You have more energy.
b. If you do not have more energy, then you do not exercise regularly.
c. If you exercise regularly, then you have more energy.
d. You have a healthy body.
____ 16. Use the Law of Syllogism to draw a conclusion from the two given statements.
If three points lie on the same line, then they are collinear.
If three points are collinear, then they lie in the same plane.
a. The three points are collinear.
b. If three points lie on the same line, then they lie in the same plane.
c. If three points do not lie in the same plane, then they do not lie on the same line.
d. The three points lie in the same plane.
3
Name: ________________________
ID: A
____ 17. Use the Law of Detachment and the Law of Syllogism to draw a conclusion from the three given statements.
If it is Friday night, then there is a football game.
If there is a football game, then Josef is wearing his school colors.
It is Friday night.
a. Josef is wearing his school colors.
b. There is a football game.
c. If it is Friday night, then Josef is wearing his school colors.
d. If it is not Friday night, then Josef is not wearing his school colors.
____ 18. What are the minor arcs of
O?
a.
LM , LN , MN , MP, NP, and PL
c.
MN and PL
b.
LM , MN , NP, and PL
d.
LM and NP
____ 19. What are the major arcs of
O that contain point J?
a.
HJ , HK , JK , JL, KL, and LH
b.
JKH , KLJ , and HJL
c.
JKH , JKL, KLJ , KLH , LHK , and HJL
d.
JKH , KLJ , LHK , and HJL
4
Name: ________________________
ID: A
____ 20. Find the measure of CDE.
The figure is not drawn to scale.
a.
172
b.
182
c.
162
d.
188
Find the circumference. Leave your answer in terms of  .
____ 21.
a.
11.4 cm
b.
8.55 cm
c.
2.85 cm
d.
5.7 cm
a.
54 in.
b.
36 in.
c.
18 in.
d.
324 in.
____ 22.
____ 23. The circumference of a circle is 60 cm. Find the diameter, the radius, and the length of an arc of 140°.
a. 60 cm; 30 cm; 23.3 cm
c. 120 cm; 30 cm; 160 cm
b. 60 cm; 120 cm; 11.7 cm
d. 30 cm; 60 cm; 11.7 cm
5
Name: ________________________
ID: A
____ 24. Find the length of YPX . Leave your answer in terms of  .
a.
24 m
b.
12 m
c.
4 m
d.
720 m
Find the area of the circle. Leave your answer in terms of  .
____ 25.
a.
25.92 m2
b.
1.8 m2
c.
12.96 m2
d.
46.66 m2
a.
4.2025 m2
b.
8.405 m2
c.
16.81 m2
d.
11.2 m2
____ 26.
____ 27. A team in science class placed a chalk mark on the side of a wheel and rolled the wheel in a straight line until
the chalk mark returned to the same position. The team then measured the distance the wheel had rolled and
found it to be 20 cm. To the nearest tenth, what is the area of the wheel?
a. 63.7 cm2
b. 31.8 cm2
c. 15.7 cm2
d. 127.3 cm2
____ 28. Find the area of the figure to the nearest tenth.
a.
13 in.2
b.
37.1 in.2
c.
6
116.6 in.2
d.
233.3 in.2
Name: ________________________
ID: A
____ 29. Find the area of a sector with a central angle of 120° and a diameter of 9.6 cm. Round to the nearest tenth.
a. 24.1 cm2
b. 2.5 cm2
c. 96.5 cm2
d. 6.4 cm2
____ 30. The area of sector AOB is 20.25 ft 2 . Find the exact area of the shaded region.
a.
20.25  40.5ft 2
c.
b.
20.25  81ft 2
d.


 20.25  40.5 2  ft 2


none of these
____ 31. Find the area of the shaded region. Leave your answer in terms of  and in simplest radical form.
a.
b.


 120  6 3  m 2




 142  36 3  m 2


c.


 120  36 3  m 2


d.
none of these
____ 32. Find the exact area of the shaded region.
a.
192  144m 2
c.
b.


 192  144 3  m 2




 8  144 3  m2


d.
none of these
7
Name: ________________________
ID: A
____ 33. Find the probability that a point chosen at random from JP is on the segment KO .
a.
1
2
b.
4
5
c.
5
6
d.
2
3
____ 34. Lenny’s favorite radio station has this hourly schedule: news 13 min, commercials 2 min, music 45 min. If
Lenny chooses a time of day at random to turn on the radio to his favorite station, what is the probability that
he will hear the news?
13
3
1
13
a.
b.
c.
d.
45
4
30
60
____ 35. The delivery van arrives at an office every day between 3 PM and 5 PM. The office doors were locked between
3:15 PM and 3:35 PM. What is the probability that the doors were unlocked when the delivery van arrived?
a.
5
6
b.
5
12
c.
1
3
d.
1
6
____ 36. Find the probability that a point chosen at random will lie in the shaded area.
a.
0.32
b.
0.62
c.
8
0.94
d.
0.02
Name: ________________________
ID: A
Assume that lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x.
(Figures are not drawn to scale.)
____ 37. mO  154
a.
77
b.
26
c.
334
d.
308
b.
39
c.
102
d.
24
____ 38. mP  12
a.
78







In the figure, PA and PB are tangent to circle O and PD bisects BPA. The figure is not drawn to scale.
____ 39. For mAOC = 46, find mPOB.
a. 23
b. 90
c.
46
d.
68
____ 40. For mAOC = 46, find mBPO.
a. 44
b. 67
c.
46
d.
136
9
Name: ________________________
ID: A
____ 41. AB is tangent to O. If AO  24 and BC  50 , what is AB?
The diagram is not to scale.
a.
74
b.
94
c.
70
d.
100
____ 42. A satellite is 13,200 miles from the horizon of Earth. Earth’s radius is about 4,000 miles. Find the approximate
distance the satellite is from the point directly below it on Earth’s surface.
The diagram is not to scale.
a.
13,793 miles
b.
17,200 miles
c.
10
9,793 miles
d.
16,552 miles
Name: ________________________
ID: A
____ 43. BC is tangent to circle A at B and to circle D at C (not drawn to scale).
AB = 8, BC = 16, and DC = 5. Find AD to the nearest tenth.
a.
17.9
b.
16.8
c.
16.3
d.
20.6
____ 44. A chain fits tightly around two gears as shown. The distance between the centers of the gears is 20 inches. The
radius of the larger gear is 11 inches. Find the radius of the smaller gear. Round your answer to the nearest
tenth, if necessary. The diagram is not to scale.
a.
17.2 inches
b.
6.2 inches
c.
11 inches
d.
4.8 inches
____ 45. AB is tangent to circle O at B. Find the length of the radius r for AB = 5 and AO = 8.6. Round to the nearest
tenth if necessary. The diagram is not to scale.
a.
9.9
b.
7
c.
11
13
d.
3.6
Name: ________________________
ID: A
____ 46. Pentagon RSTUV is circumscribed about a circle. Solve for x for RS = 10, ST = 13,
TU = 11, UV = 12, and VR = 12. The figure is not drawn to scale.
a.
4
b.
8
c.
11
d.
6
____ 47. JK , KL, and LJ are all tangent to circle O (not drawn to scale), and JK  LJ . JA = 9, AL = 10, and
CK = 14. Find the perimeter of JKL.
a.
66
b.
38
c.
12
46
d.
33
Name: ________________________
ID: A
____ 48. In circle A, NA  PA , MO  NA, RO  PA , MO = 3 ft
What is PO?
a.
1.5 ft
b.
6 ft
c.
9 ft
d.
3 ft
d.
9 in.
____ 49. In circle Z, BZ  FZ , BZ  CA, FZ  DC , DF = 18 in.
What is BC?
a.
36 in.
b.
18 in.
c.
13
27 in.
Name: ________________________
ID: A
Find the value of x. If necessary, round your answer to the nearest tenth. O is the center of the circle.
The figure is not drawn to scale.
____ 50.
a.
8
b.
5
c.
6
d.
10
a.
21.9
b.
181.3
c.
24
d.
13.5
a.
13
b.
26
c.
77
d.
38.5
____ 51.
____ 52.
14
Name: ________________________
ID: A
____ 53. FG  OP , RS  OQ , FG = 33, RS = 36, OP = 14
a.
12
b.
18
c.
14
d.
21.2
Use the diagram. AB is a diameter, and AB  CD. The figure is not drawn to scale.
____ 54. Find m BD for m AC = 59.
a. 121
b. 149
c.
15
118
d.
31
Name: ________________________
ID: A
____ 55. WZ and XR are diameters. Find the measure of ZWX . (The figure is not drawn to scale.)
a.
74
b.
211
c.
255
d.
286
____ 56. The radius of circle O is 18, and OC = 13. Find AB. Round to the nearest tenth, if necessary. (The figure is not
drawn to scale.)
a.
12.4
b.
3.8
c.
16
24.9
d.
44.4
Name: ________________________
ID: A
____ 57. Find the measure of BAC in circle O. (The figure is not drawn to scale.)
a.
57
b.
28.5
c.
33
d.
114
23
d.
46
____ 58. Find x in circle O. (The figure is not drawn to scale.)
a.
92
b.
44
c.
17
Name: ________________________
ID: A
____ 59. Find mBAC in circle O. (The figure is not drawn to scale.)
a.
114
b.
57
c.
132
d.
33
d.
44
____ 60. In circle O, mR = 22. Find mO. (The figure is not drawn to scale.)
a.
68
b.
22
c.
18
158
Name: ________________________
ID: A
____ 61. Given that DAB and DCB are right angles and mBDC = 47º, what is m CAD? (The figure is not drawn to
scale.)
a.
321
b.
282
c.
188
d.
274
c.
15.5
d.
149
____ 62. If mCDB  31, what is mCAB?
a.
59
b.
31
19
Name: ________________________
ID: A


____ 63. BD is tangent to circle O at C, mAEC  295, and mACE  81. Find mDCE.
(The figure is not drawn to scale.)
a.
107
b.
66.5
c.
133
d.
53.5


____ 64. AC is tangent to circle O at A. If mBY  43, what is mYAC? (The figure is not drawn to scale.)
a.
137
b.
68.5
c.
20
86
d.
94
Name: ________________________
ID: A


____ 65. PQ is tangent to the circle at C. In the circle, mAD  100, and mD = 99. Find mDCQ.
(The figure is not drawn to scale.)
a.
31
b.
161
c.
62
d.
80.5
d.
80


____ 66. PQ is tangent to the circle at C. In the circle, mBC  80. Find mBCP.
(The figure is not drawn to scale.)
a.
40
b.
100
c.
21
160
Name: ________________________
ID: A
____ 67. mS  37, mRS  94, and RU is tangent to the circle at R. Find mU.
(The figure is not drawn to scale.)
a.
57
b.
28.5
c.
10
d.
20
____ 68. mDE  128 and mBC  63. Find mA. (The figure is not drawn to scale.)
a.
32.5
b.
65
c.
95.5
d.
96.5
____ 69. Find the value of x for mAB  46 and mCD  25. (The figure is not drawn to scale.)
a.
35.5
b.
58.5
c.
22
71
d.
21
Name: ________________________
ID: A
____ 70. DA is tangent to the circle at A and DC is tangent to the circle at C. Find mD for mB = 62. (The figure is
not drawn to scale.)
a.
118
b.
112
c.
59
d.
56
____ 71. A park maintenance person stands 16 m from a circular monument. Assume that her lines of sight form
tangents to the monument and make an angle of 55°. What is the measure of the arc of the monument that her
lines of sight intersect?
a. 125
b. 110
c. 250
d. 27.5
____ 72. The lines in the figure are tangent to the circle at points A and B. Find the measure of value of AB for
mP  52. (The figure is not drawn to scale.)
a.
128
b.
104
c.
23
256
d.
26
Name: ________________________
ID: A
____ 73. The farthest distance a satellite signal can directly reach is the length of the segment tangent to the curve of
Earth’s surface. If the measure of the angle formed by the tangent satellite signals is 121, what is the measure
of the intercepted arc on Earth? (The figure is not drawn to scale.)
a.
59
b.
118
c.
60.5
d.
242
____ 74. A footbridge is in the shape of an arc of a circle. The bridge is 4.5 ft tall and 25 ft wide. What is the radius of
the circle that contains the bridge? Round to the nearest tenth.
a. 39.2 ft
b. 71.7 ft
c. 19.6 ft
d. 34.7 ft
Find the value of x. If necessary, round your answer to the nearest tenth. The figures are not drawn to
scale.
____ 75.
a.
18.8
b.
120
c.
24
5.3
d.
12
Name: ________________________
ID: A
____ 76. AB = 20, BC = 6, and CD = 8
a.
18.5
b.
11.5
c.
19.5
d.
15
____ 77. The figure consists of a chord, a secant, and a tangent to the circle. Round to the nearest hundredth, if
necessary.
a.
15.75
b.
9
c.
5.14
d.
28
____ 78. CD is tangent to circle O at D. Find the diameter of the circle for BC = 13 and DC = 24. Round to the nearest
tenth.
(The diagram is not drawn to scale.)
a.
31.3
b.
44.3
c.
25
11.2
d.
57.3
Name: ________________________
ID: A
____ 79. AD is tangent to circle O at D. Find AB. Round to the nearest tenth if necessary.
a.
1.1
b.
11.5
c.
3.5
d.
4.3
Write the standard equation for the circle.
____ 80. center (–6, 9), r = 3
a.
(x – 9) 2 + (y + 6) 2 = 9
c.
(x – 6) 2 + (y + 9) 2 = 3
b.
(x + 6) 2 + (y – 9) 2 = 3
d.
(x + 6) 2 + (y – 9) 2 = 9
____ 81. Find the center and radius of the circle with equation (x + 2) 2 + (y + 10) 2 = 4.
a. center (–2, –10); r = 2
c. center (–2, –10); r = 4
b. center (2, 10); r = 4
d. center (10, 2); r = 2
____ 82. What is the equation of the circle with center (3, 5) that passes through the point (–4, 10)?
a.
b.
(x  3) 2  (y  5) 2  226
(x  (4)) 2  (y  10) 2  74
c.
d.
(x  (4)) 2  (y  10) 2  226
(x  3) 2  (y  5) 2  74
____ 83. What is the equation of the circle with center (0, 0) that passes through the point (5, –4)?
a.
b.
x 2  y 2  41
(x  (4)) 2  (y  (4)) 2  41
c.
d.
26
(x  5) 2  (y  (4)) 2  9
x2  y2  9
Name: ________________________
ID: A
____ 84. A manufacturer is designing a two-wheeled cart that can maneuver through tight spaces. On one test model, the
wheel placement (center) and radius is modeled by the equation (x  2) 2  (y  1) 2  4. What is the graph that
shows the position and radius of the wheels?
a.
c.
b.
d.
____ 85. Write the equation of the locus of all points in the coordinate plane 8 units from (–7, –10).
a.
(x + 10) 2 + (y + 7) 2 = 64
c.
(x + 7) 2 + (y + 10) 2 = 64
b.
(x + 7) 2 + (y + 10) 2 = 8
d.
(x – 7) 2 + (y – 10) 2 = 8
27
ID: A
Geometry SIA #4, Review #1
Answer Section
MULTIPLE CHOICE
1. ANS:
REF:
OBJ:
TOP:
DOK:
2. ANS:
REF:
OBJ:
TOP:
DOK:
3. ANS:
REF:
OBJ:
TOP:
DOK:
4. ANS:
REF:
OBJ:
TOP:
DOK:
5. ANS:
REF:
OBJ:
TOP:
KEY:
6. ANS:
REF:
OBJ:
TOP:
KEY:
7. ANS:
REF:
OBJ:
TOP:
KEY:
DOK:
8. ANS:
REF:
OBJ:
TOP:
DOK:
D
PTS: 1
DIF: L3
2-1 Patterns and Inductive Reasoning
2-1.1 Use inductive reasoning to make conjectures
STA:
2-1 Problem 1 Finding and Using a Pattern
KEY:
DOK 2
B
PTS: 1
DIF: L3
2-1 Patterns and Inductive Reasoning
2-1.1 Use inductive reasoning to make conjectures
STA:
2-1 Problem 1 Finding and Using a Pattern
KEY:
DOK 2
A
PTS: 1
DIF: L2
2-1 Patterns and Inductive Reasoning
2-1.1 Use inductive reasoning to make conjectures
STA:
2-1 Problem 2 Using Inductive Reasoning
KEY:
DOK 2
A
PTS: 1
DIF: L3
2-1 Patterns and Inductive Reasoning
2-1.1 Use inductive reasoning to make conjectures
STA:
2-1 Problem 2 Using Inductive Reasoning
KEY:
DOK 2
A
PTS: 1
DIF: L4
2-1 Patterns and Inductive Reasoning
2-1.1 Use inductive reasoning to make conjectures
STA:
2-1 Problem 3 Collecting Information to Make a Conjecture
inductive reasoning | conjecture | pattern
DOK:
D
PTS: 1
DIF: L3
2-1 Patterns and Inductive Reasoning
2-1.1 Use inductive reasoning to make conjectures
STA:
2-1 Problem 3 Collecting Information to Make a Conjecture
inductive reasoning | pattern | conjecture
DOK:
C
PTS: 1
DIF: L3
2-1 Patterns and Inductive Reasoning
2-1.1 Use inductive reasoning to make conjectures
STA:
2-1 Problem 4 Making a Prediction
conjecture | inductive reasoning | word problem | problem solving
DOK 2
C
PTS: 1
DIF: L2
2-1 Patterns and Inductive Reasoning
2-1.1 Use inductive reasoning to make conjectures
STA:
2-1 Problem 5 Finding a Counterexample
KEY:
DOK 2
1
MA.912.G.8.4
pattern | inductive reasoning
MA.912.G.8.4
pattern | inductive reasoning
MA.912.G.8.4
inductive reasoning | pattern
MA.912.G.8.4
inductive reasoning | pattern
MA.912.G.8.4
DOK 3
MA.912.G.8.4
DOK 2
MA.912.G.8.4
MA.912.G.8.4
conjecture | counterexample
ID: A
9. ANS:
OBJ:
TOP:
KEY:
10. ANS:
OBJ:
TOP:
KEY:
11. ANS:
OBJ:
STA:
TOP:
KEY:
12. ANS:
OBJ:
STA:
KEY:
13. ANS:
OBJ:
STA:
KEY:
14. ANS:
OBJ:
STA:
KEY:
15. ANS:
OBJ:
STA:
KEY:
16. ANS:
OBJ:
STA:
KEY:
17. ANS:
OBJ:
STA:
TOP:
KEY:
DOK:
18. ANS:
OBJ:
STA:
KEY:
19. ANS:
OBJ:
STA:
KEY:
A
PTS: 1
DIF: L3
REF: 2-2 Conditional Statements
2-2.1 Recognize conditional statements and their parts
STA: MA.912.G.8.4
2-2 Problem 1 Identifying the Hypothesis and the Conclusion
conditional statement | conclusion
DOK: DOK 2
B
PTS: 1
DIF: L3
REF: 2-2 Conditional Statements
2-2.1 Recognize conditional statements and their parts
STA: MA.912.G.8.4
2-2 Problem 1 Identifying the Hypothesis and the Conclusion
conditional statement | hypothesis | conclusion
DOK: DOK 2
C
PTS: 1
DIF: L2
REF: 2-2 Conditional Statements
2-2.2 Write converses, inverses, and contrapositives of conditionals
MA.912.D.6.2| MA.912.D.6.3
2-2 Problem 4 Writing and Finding Truth Values of Statements
conditional statement | converse of a conditional
DOK: DOK 2
A
PTS: 1
DIF: L4
REF: 2-4 Deductive Reasoning
2-4.1 Use the Law of Detachment and the Law of Syllogism
MA.912.D.6.4
TOP: 2-4 Problem 1 Using the Law of Detachment
Law of Detachment | deductive reasoning
DOK: DOK 3
B
PTS: 1
DIF: L3
REF: 2-4 Deductive Reasoning
2-4.1 Use the Law of Detachment and the Law of Syllogism
MA.912.D.6.4
TOP: 2-4 Problem 1 Using the Law of Detachment
deductive reasoning | Law of Detachment
DOK: DOK 2
D
PTS: 1
DIF: L3
REF: 2-4 Deductive Reasoning
2-4.1 Use the Law of Detachment and the Law of Syllogism
MA.912.D.6.4
TOP: 2-4 Problem 1 Using the Law of Detachment
deductive reasoning | Law of Detachment
DOK: DOK 2
C
PTS: 1
DIF: L3
REF: 2-4 Deductive Reasoning
2-4.1 Use the Law of Detachment and the Law of Syllogism
MA.912.D.6.4
TOP: 2-4 Problem 2 Using the Law of Syllogism
deductive reasoning | Law of Syllogism
DOK: DOK 2
B
PTS: 1
DIF: L3
REF: 2-4 Deductive Reasoning
2-4.1 Use the Law of Detachment and the Law of Syllogism
MA.912.D.6.4
TOP: 2-4 Problem 2 Using the Law of Syllogism
deductive reasoning | Law of Syllogism
DOK: DOK 2
A
PTS: 1
DIF: L4
REF: 2-4 Deductive Reasoning
2-4.1 Use the Law of Detachment and the Law of Syllogism
MA.912.D.6.4
2-4 Problem 3 Using the Laws of Syllogism and Detachment
deductive reasoning | Law of Detachment | Law of Syllogism
DOK 3
B
PTS: 1
DIF: L3
REF: 10-6 Circles and Arcs
10-6.1 Find the measures of central angles and arcs
NAT: CC G.CO.1
MA.912.G.6.2| MA.912.G.6.4| MA.912.G.6.5
TOP: 10-6 Problem 1 Naming Arcs
major arc | minor arc | semicircle
DOK: DOK 1
D
PTS: 1
DIF: L3
REF: 10-6 Circles and Arcs
10-6.1 Find the measures of central angles and arcs
NAT: CC G.CO.1
MA.912.G.6.2| MA.912.G.6.4| MA.912.G.6.5
TOP: 10-6 Problem 1 Naming Arcs
major arc | minor arc | semicircle
DOK: DOK 1
2
ID: A
20. ANS:
OBJ:
STA:
TOP:
DOK:
21. ANS:
OBJ:
STA:
KEY:
22. ANS:
OBJ:
STA:
KEY:
23. ANS:
OBJ:
STA:
KEY:
24. ANS:
OBJ:
STA:
KEY:
25. ANS:
OBJ:
NAT:
TOP:
DOK:
26. ANS:
OBJ:
NAT:
TOP:
DOK:
27. ANS:
OBJ:
NAT:
TOP:
KEY:
DOK:
28. ANS:
OBJ:
NAT:
TOP:
DOK:
29. ANS:
OBJ:
NAT:
TOP:
DOK:
A
PTS: 1
DIF: L3
REF: 10-6 Circles and Arcs
10-6.1 Find the measures of central angles and arcs
NAT: CC G.CO.1
MA.912.G.6.2| MA.912.G.6.4| MA.912.G.6.5
10-6 Problem 2 Finding the Measures of Arcs
KEY: major arc | measure of an arc | arc
DOK 1
D
PTS: 1
DIF: L2
REF: 10-6 Circles and Arcs
10-6.2 Find the circumference and arc lengthNAT:
CC G.CO.1
MA.912.G.6.2| MA.912.G.6.4| MA.912.G.6.5
TOP: 10-6 Problem 3 Finding a Distance
circumference | diameter
DOK: DOK 2
B
PTS: 1
DIF: L2
REF: 10-6 Circles and Arcs
10-6.2 Find the circumference and arc lengthNAT:
CC G.CO.1
MA.912.G.6.2| MA.912.G.6.4| MA.912.G.6.5
TOP: 10-6 Problem 3 Finding a Distance
circumference | radius DOK:
DOK 2
A
PTS: 1
DIF: L4
REF: 10-6 Circles and Arcs
10-6.2 Find the circumference and arc lengthNAT:
CC G.CO.1
MA.912.G.6.2| MA.912.G.6.4| MA.912.G.6.5
TOP: 10-6 Problem 4 Finding Arc Length
circumference | radius DOK:
DOK 2
B
PTS: 1
DIF: L3
REF: 10-6 Circles and Arcs
10-6.2 Find the circumference and arc lengthNAT:
CC G.CO.1
MA.912.G.6.2| MA.912.G.6.4| MA.912.G.6.5
TOP: 10-6 Problem 4 Finding Arc Length
arc | circumference
DOK: DOK 2
C
PTS: 1
DIF: L3
REF: 10-7 Areas of Circles and Sectors
10-7.1 Find the areas of circles, sectors, and segments of circles
CC G.C.5
STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5
10-7 Problem 1 Finding the Area of a Circle
KEY: area of a circle | radius
DOK 2
A
PTS: 1
DIF: L3
REF: 10-7 Areas of Circles and Sectors
10-7.1 Find the areas of circles, sectors, and segments of circles
CC G.C.5
STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5
10-7 Problem 1 Finding the Area of a Circle
KEY: area of a circle | radius
DOK 2
B
PTS: 1
DIF: L4
REF: 10-7 Areas of Circles and Sectors
10-7.1 Find the areas of circles, sectors, and segments of circles
CC G.C.5
STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5
10-7 Problem 1 Finding the Area of a Circle
circumference | radius | diameter | area of a circle | word problem | problem solving
DOK 3
C
PTS: 1
DIF: L3
REF: 10-7 Areas of Circles and Sectors
10-7.1 Find the areas of circles, sectors, and segments of circles
CC G.C.5
STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5
10-7 Problem 2 Finding the Area of a Sector of a Circle
KEY: sector | circle | area
DOK 2
A
PTS: 1
DIF: L3
REF: 10-7 Areas of Circles and Sectors
10-7.1 Find the areas of circles, sectors, and segments of circles
CC G.C.5
STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5
10-7 Problem 2 Finding the Area of a Sector of a Circle
KEY: sector | circle | area | central angle
DOK 2
3
ID: A
30. ANS:
OBJ:
NAT:
TOP:
KEY:
31. ANS:
OBJ:
NAT:
TOP:
KEY:
32. ANS:
OBJ:
NAT:
TOP:
KEY:
33. ANS:
OBJ:
STA:
TOP:
DOK:
34. ANS:
OBJ:
STA:
TOP:
KEY:
DOK:
35. ANS:
OBJ:
STA:
TOP:
KEY:
DOK:
36. ANS:
OBJ:
STA:
TOP:
DOK:
37. ANS:
OBJ:
STA:
TOP:
KEY:
DOK:
A
PTS: 1
DIF: L2
REF: 10-7 Areas of Circles and Sectors
10-7.1 Find the areas of circles, sectors, and segments of circles
CC G.C.5
STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5
10-7 Problem 3 Finding the Area of a Segment of a Circle
sector | circle | area | central angle
DOK: DOK 2
C
PTS: 1
DIF: L4
REF: 10-7 Areas of Circles and Sectors
10-7.1 Find the areas of circles, sectors, and segments of circles
CC G.C.5
STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5
10-7 Problem 3 Finding the Area of a Segment of a Circle
sector | circle | area | central angle
DOK: DOK 2
B
PTS: 1
DIF: L3
REF: 10-7 Areas of Circles and Sectors
10-7.1 Find the areas of circles, sectors, and segments of circles
CC G.C.5
STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5
10-7 Problem 3 Finding the Area of a Segment of a Circle
sector | circle | area | central angle
DOK: DOK 2
D
PTS: 1
DIF: L4
REF: 10-8 Geometric Probability
10-8.1 Use segment and area models to find the probabilities of events
MA.912.G.2.5| MA.912.G.6.1| MA.912.G.6.5
10-8 Problem 1 Using Segments to Find Probability
KEY: geometric probability | segment
DOK 1
D
PTS: 1
DIF: L3
REF: 10-8 Geometric Probability
10-8.1 Use segment and area models to find the probabilities of events
MA.912.G.2.5| MA.912.G.6.1| MA.912.G.6.5
10-8 Problem 2 Using Segments to Find Probability
geometric probability | segment | word problem | problem solving
DOK 2
A
PTS: 1
DIF: L4
REF: 10-8 Geometric Probability
10-8.1 Use segment and area models to find the probabilities of events
MA.912.G.2.5| MA.912.G.6.1| MA.912.G.6.5
10-8 Problem 2 Using Segments to Find Probability
geometric probability | segment | word problem | problem solving
DOK 2
A
PTS: 1
DIF: L3
REF: 10-8 Geometric Probability
10-8.1 Use segment and area models to find the probabilities of events
MA.912.G.2.5| MA.912.G.6.1| MA.912.G.6.5
10-8 Problem 3 Using Area to Find Probability
KEY: geometric probability
DOK 2
B
PTS: 1
DIF: L3
REF: 12-1 Tangent Lines
12-1.1 Use properties of a tangent to a circle NAT:
CC G.C.2
MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3
12-1 Problem 1 Finding Angle Measures
tangent to a circle | point of tangency | properties of tangents | central angle
DOK 1
4
ID: A
38. ANS: A
PTS: 1
DIF: L3
REF: 12-1 Tangent Lines
OBJ: 12-1.1 Use properties of a tangent to a circle NAT:
CC G.C.2
STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3
TOP: 12-1 Problem 1 Finding Angle Measures
KEY: tangent to a circle | point of tangency | angle measure | properties of tangents | central angle
DOK: DOK 1
39. ANS: C
PTS: 1
DIF: L4
REF: 12-1 Tangent Lines
OBJ: 12-1.1 Use properties of a tangent to a circle NAT:
CC G.C.2
STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3
TOP: 12-1 Problem 1 Finding Angle Measures
KEY: properties of tangents | tangent to a circle | Tangent Theorem
DOK: DOK 2
40. ANS: A
PTS: 1
DIF: L4
REF: 12-1 Tangent Lines
OBJ: 12-1.1 Use properties of a tangent to a circle NAT:
CC G.C.2
STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3
TOP: 12-1 Problem 1 Finding Angle Measures
KEY: properties of tangents | tangent to a circle | Tangent Theorem
DOK: DOK 2
41. ANS: C
PTS: 1
DIF: L2
REF: 12-1 Tangent Lines
OBJ: 12-1.1 Use properties of a tangent to a circle NAT:
CC G.C.2
STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3
TOP: 12-1 Problem 2 Finding Distance
KEY: tangent to a circle | point of tangency | properties of tangents | Pythagorean Theorem
DOK: DOK 2
42. ANS: C
PTS: 1
DIF: L3
REF: 12-1 Tangent Lines
OBJ: 12-1.1 Use properties of a tangent to a circle NAT:
CC G.C.2
STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3
TOP: 12-1 Problem 2 Finding Distance
KEY: tangent to a circle | point of tangency | properties of tangents | Pythagorean Theorem
DOK: DOK 2
43. ANS: C
PTS: 1
DIF: L4
REF: 12-1 Tangent Lines
OBJ: 12-1.1 Use properties of a tangent to a circle NAT:
CC G.C.2
STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3
TOP: 12-1 Problem 2 Finding Distance
KEY: tangent to a circle | point of tangency | properties of tangents | Pythagorean Theorem
DOK: DOK 2
44. ANS: D
PTS: 1
DIF: L4
REF: 12-1 Tangent Lines
OBJ: 12-1.1 Use properties of a tangent to a circle NAT:
CC G.C.2
STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3
TOP: 12-1 Problem 3 Finding a Radius
KEY: word problem | tangent to a circle | point of tangency | properties of tangents | right triangle |
Pythagorean Theorem
DOK: DOK 2
45. ANS: B
PTS: 1
DIF: L3
REF: 12-1 Tangent Lines
OBJ: 12-1.1 Use properties of a tangent to a circle NAT:
CC G.C.2
STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3
TOP: 12-1 Problem 3 Finding a Radius
KEY: tangent to a circle | point of tangency | properties of tangents | right triangle | Pythagorean Theorem
DOK: DOK 2
5
ID: A
46. ANS:
OBJ:
STA:
TOP:
KEY:
47. ANS:
OBJ:
STA:
TOP:
KEY:
48. ANS:
OBJ:
STA:
TOP:
KEY:
49. ANS:
OBJ:
STA:
TOP:
KEY:
50. ANS:
OBJ:
STA:
TOP:
KEY:
DOK:
51. ANS:
OBJ:
STA:
TOP:
KEY:
DOK:
52. ANS:
OBJ:
STA:
TOP:
DOK:
53. ANS:
OBJ:
STA:
TOP:
KEY:
DOK:
A
PTS: 1
DIF: L3
REF: 12-1 Tangent Lines
12-1.1 Use properties of a tangent to a circle NAT:
CC G.C.2
MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3
12-1 Problem 5 Circles Inscribed in Polygons
properties of tangents | tangent to a circle | pentagon
DOK: DOK 2
A
PTS: 1
DIF: L3
REF: 12-1 Tangent Lines
12-1.1 Use properties of a tangent to a circle NAT:
CC G.C.2
MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3
12-1 Problem 5 Circles Inscribed in Polygons
properties of tangents | tangent to a circle | triangle
DOK: DOK 2
A
PTS: 1
DIF: L3
REF: 12-2 Chords and Arcs
12-2.2 Use perpendicular bisectors to chords NAT:
CC G.C.2
MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3
12-2 Problem 2 Finding the Length of a Chord
circle | radius | chord | congruent chords | bisected chords DOK: DOK 1
B
PTS: 1
DIF: L3
REF: 12-2 Chords and Arcs
12-2.2 Use perpendicular bisectors to chords NAT:
CC G.C.2
MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3
12-2 Problem 2 Finding the Length of a Chord
circle | radius | chord | congruent chords | bisected chords DOK: DOK 1
D
PTS: 1
DIF: L2
REF: 12-2 Chords and Arcs
12-2.2 Use perpendicular bisectors to chords NAT:
CC G.C.2
MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3
12-2 Problem 3 Using Diameters and Chords
bisected chords | circle | perpendicular | perpendicular bisector | Pythagorean Theorem
DOK 2
D
PTS: 1
DIF: L2
REF: 12-2 Chords and Arcs
12-2.2 Use perpendicular bisectors to chords NAT:
CC G.C.2
MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3
12-2 Problem 3 Using Diameters and Chords
bisected chords | circle | perpendicular | perpendicular bisector | Pythagorean Theorem
DOK 2
C
PTS: 1
DIF: L2
REF: 12-2 Chords and Arcs
12-2.1 Use congruent chords, arcs, and central angles
NAT: CC G.C.2
MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3
12-2 Problem 4 Finding Measures in a Circle
KEY: arc | central angle | congruent arcs
DOK 1
A
PTS: 1
DIF: L3
REF: 12-2 Chords and Arcs
12-2.1 Use congruent chords, arcs, and central angles
NAT: CC G.C.2
MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3
12-2 Problem 4 Finding Measures in a Circle
circle | radius | chord | congruent chords | right triangle | Pythagorean Theorem
DOK 3
6
ID: A
54. ANS: A
PTS: 1
DIF: L3
REF: 12-2 Chords and Arcs
OBJ: 12-2.1 Use congruent chords, arcs, and central angles
NAT: CC G.C.2
STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3
TOP: 12-2 Problem 4 Finding Measures in a Circle
KEY: arc | chord-arc relationship | diameter | chord | perpendicular | angle measure | circle | right triangle |
perpendicular bisector
DOK:
DOK 2
55. ANS: B
PTS: 1
DIF: L2
REF: 12-2 Chords and Arcs
OBJ: 12-2.1 Use congruent chords, arcs, and central angles
NAT: CC G.C.2
STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3
TOP: 12-2 Problem 4 Finding Measures in a Circle
KEY: arc | central angle | congruent arcs | arc measure | arc addition | diameter
DOK: DOK 1
56. ANS: C
PTS: 1
DIF: L3
REF: 12-2 Chords and Arcs
OBJ: 12-2.2 Use perpendicular bisectors to chords NAT:
CC G.C.2
STA: MA.912.G.6.1| MA.912.G.6.2| MA.912.G.6.3
TOP: 12-2 Problem 4 Finding Measures in a Circle
KEY: bisected chords | circle | perpendicular | perpendicular bisector | Pythagorean Theorem
DOK: DOK 2
57. ANS: B
PTS: 1
DIF: L3
REF: 12-3 Inscribed Angles
OBJ: 12-3.1 Find the measure of an inscribed angle
NAT: CC G.C.2| CC G.C.4
STA: MA.912.G.6.3| MA.912.G.6.4
TOP: 12-3 Problem 1 Using the Inscribed Angle Theorem
KEY: circle | inscribed angle | intercepted arc | inscribed angle-arc relationship
DOK: DOK 1
58. ANS: C
PTS: 1
DIF: L2
REF: 12-3 Inscribed Angles
OBJ: 12-3.1 Find the measure of an inscribed angle
NAT: CC G.C.2| CC G.C.4
STA: MA.912.G.6.3| MA.912.G.6.4
TOP: 12-3 Problem 1 Using the Inscribed Angle Theorem
KEY: circle | inscribed angle | intercepted arc | inscribed angle-arc relationship
DOK: DOK 1
59. ANS: B
PTS: 1
DIF: L4
REF: 12-3 Inscribed Angles
OBJ: 12-3.1 Find the measure of an inscribed angle
NAT: CC G.C.2| CC G.C.4
STA: MA.912.G.6.3| MA.912.G.6.4
TOP: 12-3 Problem 1 Using the Inscribed Angle Theorem
KEY: circle | inscribed angle | central angle | intercepted arc
DOK: DOK 2
60. ANS: D
PTS: 1
DIF: L2
REF: 12-3 Inscribed Angles
OBJ: 12-3.1 Find the measure of an inscribed angle
NAT: CC G.C.2| CC G.C.4
STA: MA.912.G.6.3| MA.912.G.6.4
TOP: 12-3 Problem 2 Using Corollaries to Find Angle Measures
KEY: circle | inscribed angle | intercepted arc | inscribed angle-arc relationship
DOK: DOK 1
61. ANS: D
PTS: 1
DIF: L3
REF: 12-3 Inscribed Angles
OBJ: 12-3.1 Find the measure of an inscribed angle
NAT: CC G.C.2| CC G.C.4
STA: MA.912.G.6.3| MA.912.G.6.4
TOP: 12-3 Problem 2 Using Corollaries to Find Angle Measures
KEY: circle | inscribed angle | intercepted arc | inscribed angle-arc relationship
DOK: DOK 2
7
ID: A
62. ANS:
OBJ:
STA:
TOP:
KEY:
DOK:
63. ANS:
OBJ:
NAT:
TOP:
KEY:
DOK:
64. ANS:
OBJ:
NAT:
TOP:
KEY:
DOK:
65. ANS:
OBJ:
NAT:
TOP:
KEY:
DOK:
66. ANS:
OBJ:
NAT:
TOP:
KEY:
DOK:
67. ANS:
REF:
OBJ:
NAT:
TOP:
KEY:
DOK:
68. ANS:
REF:
OBJ:
NAT:
TOP:
KEY:
DOK:
B
PTS: 1
DIF: L2
REF: 12-3 Inscribed Angles
12-3.1 Find the measure of an inscribed angle
NAT: CC G.C.2| CC G.C.4
MA.912.G.6.3| MA.912.G.6.4
12-3 Problem 2 Using Corollaries to Find Angle Measures
circle | inscribed angle | intercepted arc | inscribed angle-arc relationship
DOK 1
B
PTS: 1
DIF: L3
REF: 12-3 Inscribed Angles
12-3.2 Find the measure of an angle formed by a tangent and a chord
CC G.C.2| CC G.C.4
STA: MA.912.G.6.3| MA.912.G.6.4
12-3 Problem 3 Using Arc Measure
circle | inscribed angle | tangent-chord angle | intercepted arc
DOK 2
B
PTS: 1
DIF: L3
REF: 12-3 Inscribed Angles
12-3.2 Find the measure of an angle formed by a tangent and a chord
CC G.C.2| CC G.C.4
STA: MA.912.G.6.3| MA.912.G.6.4
12-3 Problem 3 Using Arc Measure
circle | inscribed angle | tangent-chord angle | intercepted arc | arc measure | angle measure
DOK 2
A
PTS: 1
DIF: L3
REF: 12-3 Inscribed Angles
12-3.2 Find the measure of an angle formed by a tangent and a chord
CC G.C.2| CC G.C.4
STA: MA.912.G.6.3| MA.912.G.6.4
12-3 Problem 3 Using Arc Measure
circle | inscribed angle | tangent-chord angle | intercepted arc | arc measure | angle measure
DOK 2
A
PTS: 1
DIF: L2
REF: 12-3 Inscribed Angles
12-3.2 Find the measure of an angle formed by a tangent and a chord
CC G.C.2| CC G.C.4
STA: MA.912.G.6.3| MA.912.G.6.4
12-3 Problem 3 Using Arc Measure
circle | inscribed angle | tangent-chord angle | arc measure | angle measure
DOK 1
C
PTS: 1
DIF: L3
12-4 Angle Measures and Segment Lengths
12-4.1 Find measures of angles formed by chords, secants, and tangents
CC G.C.2
STA: MA.912.G.6.2| MA.912.G.6.3| MA.912.G.6.4
12-4 Problem 1 Finding Angle Measures
circle | chord | angle measure | arc measure | intersection on the circle | intersection outside the circle
DOK 2
A
PTS: 1
DIF: L3
12-4 Angle Measures and Segment Lengths
12-4.1 Find measures of angles formed by chords, secants, and tangents
CC G.C.2
STA: MA.912.G.6.2| MA.912.G.6.3| MA.912.G.6.4
12-4 Problem 1 Finding Angle Measures
circle | secant | angle measure | arc measure | intersection outside the circle
DOK 1
8
ID: A
69. ANS:
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A
PTS: 1
DIF: L3
12-4 Angle Measures and Segment Lengths
12-4.1 Find measures of angles formed by chords, secants, and tangents
CC G.C.2
STA: MA.912.G.6.2| MA.912.G.6.3| MA.912.G.6.4
12-4 Problem 1 Finding Angle Measures
circle | secant | angle measure | arc measure | intersection inside the circle
DOK 1
D
PTS: 1
DIF: L3
12-4 Angle Measures and Segment Lengths
12-4.1 Find measures of angles formed by chords, secants, and tangents
CC G.C.2
STA: MA.912.G.6.2| MA.912.G.6.3| MA.912.G.6.4
12-4 Problem 1 Finding Angle Measures
circle | chord | angle measure | arc measure | intersection on the circle | intersection outside the circle
DOK 2
A
PTS: 1
DIF: L3
12-4 Angle Measures and Segment Lengths
12-4.1 Find measures of angles formed by chords, secants, and tangents
CC G.C.2
STA: MA.912.G.6.2| MA.912.G.6.3| MA.912.G.6.4
12-4 Problem 2 Finding an Arc Measure
circle | angle measure | word problem | arc measure | intersection outside the circle
DOK 2
A
PTS: 1
DIF: L2
12-4 Angle Measures and Segment Lengths
12-4.1 Find measures of angles formed by chords, secants, and tangents
CC G.C.2
STA: MA.912.G.6.2| MA.912.G.6.3| MA.912.G.6.4
12-4 Problem 2 Finding an Arc Measure
circle | angle measure | word problem | arc measure | intersection outside the circle
DOK 2
A
PTS: 1
DIF: L4
12-4 Angle Measures and Segment Lengths
12-4.1 Find measures of angles formed by chords, secants, and tangents
CC G.C.2
STA: MA.912.G.6.2| MA.912.G.6.3| MA.912.G.6.4
12-4 Problem 2 Finding an Arc Measure
circle | angle measure | word problem | arc measure | intersection outside the circle
DOK 2
C
PTS: 1
DIF: L4
12-4 Angle Measures and Segment Lengths
12-4.2 Find the lengths of segments associated with circles
MA.912.G.6.2| MA.912.G.6.3| MA.912.G.6.4
12-4 Problem 3 Finding Segment Lengths
arc | radius | intersection inside the circle | chord | segment length | word problem
DOK 3
D
PTS: 1
DIF: L3
12-4 Angle Measures and Segment Lengths
12-4.2 Find the lengths of segments associated with circles
MA.912.G.6.2| MA.912.G.6.3| MA.912.G.6.4
12-4 Problem 3 Finding Segment Lengths
circle | chord | intersection inside the circle
DOK: DOK 2
9
ID: A
76. ANS:
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B
PTS: 1
DIF: L3
12-4 Angle Measures and Segment Lengths
12-4.2 Find the lengths of segments associated with circles
MA.912.G.6.2| MA.912.G.6.3| MA.912.G.6.4
12-4 Problem 3 Finding Segment Lengths
circle | intersection outside the circle | secant DOK:
DOK 2
A
PTS: 1
DIF: L4
12-4 Angle Measures and Segment Lengths
12-4.2 Find the lengths of segments associated with circles
MA.912.G.6.2| MA.912.G.6.3| MA.912.G.6.4
12-4 Problem 3 Finding Segment Lengths
circle | chord | intersection inside the circle | intersection outside the circle | secant | tangent to a circle
DOK 2
A
PTS: 1
DIF: L3
12-4 Angle Measures and Segment Lengths
12-4.2 Find the lengths of segments associated with circles
MA.912.G.6.2| MA.912.G.6.3| MA.912.G.6.4
12-4 Problem 3 Finding Segment Lengths
circle | intersection outside the circle | secant | tangent | diameter
DOK 2
C
PTS: 1
DIF: L3
12-4 Angle Measures and Segment Lengths
12-4.2 Find the lengths of segments associated with circles
MA.912.G.6.2| MA.912.G.6.3| MA.912.G.6.4
12-4 Problem 3 Finding Segment Lengths
circle | intersection outside the circle | secant | tangent
DOK: DOK 2
D
PTS: 1
DIF: L3
12-5 Circles in the Coordinate Plane
12-5.1 Write the equation of a circle
NAT: CC G.GPE.1
MA.912.G.1.1| MA.912.G.6.6| MA.912.G.6.7
12-5 Problem 1 Writing the Equation of a Circle
KEY: equation of a circle | center | radius
DOK 1
A
PTS: 1
DIF: L3
12-5 Circles in the Coordinate Plane
12-5.2 Find the center and radius of a circle
NAT: CC G.GPE.1
MA.912.G.1.1| MA.912.G.6.6| MA.912.G.6.7
12-5 Problem 1 Writing the Equation of a Circle
center | circle | coordinate plane | radius
DOK: DOK 2
D
PTS: 1
DIF: L3
12-5 Circles in the Coordinate Plane
12-5.2 Find the center and radius of a circle
NAT: CC G.GPE.1
MA.912.G.1.1| MA.912.G.6.6| MA.912.G.6.7
12-5 Problem 2 Using the Center and a Point on a Circle
equation of a circle | center | radius | point on the circle | algebra
DOK 2
10
ID: A
83. ANS:
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85. ANS:
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A
PTS: 1
DIF: L3
12-5 Circles in the Coordinate Plane
12-5.2 Find the center and radius of a circle
NAT: CC G.GPE.1
MA.912.G.1.1| MA.912.G.6.6| MA.912.G.6.7
12-5 Problem 2 Using the Center and a Point on a Circle
equation of a circle | center | radius | point on the circle | algebra
DOK 2
A
PTS: 1
DIF: L3
12-5 Circles in the Coordinate Plane
12-5.2 Find the center and radius of a circle
NAT: CC G.GPE.1
MA.912.G.1.1| MA.912.G.6.6| MA.912.G.6.7
12-5 Problem 3 Graphing a Circle Given Its Equation
equation of a circle | center | radius | point on the circle | algebra
DOK 2
C
PTS: 1
DIF: L4
REF: 12-6 Locus: A Set of Points
12-6.1 Draw and describe a locus
NAT: CC G.GMD.4
MA.912.G.8.3
TOP: 12-6 Problem 1 Describing a Locus in a Plane
locus | equation of a circle
DOK: DOK 2
11