Post on 04-Apr-2020
Chapter 12 Test RETAKE REVIEW
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Find the value of x. If necessary, round your
answer to the nearest tenth. The figure is not
drawn to scale.
1.
17
x
5
a. 19.34
b. 10.49
c. 110
d. 9.22
2. The circles are congruent. What can you conclude from the diagram?
C FO
AP
E
B
D
)
)
a. arc CAB arc FDE c. arc AB arc DE
b. arc DF arc AC d. none of these
Use the diagram. is a diameter, and
. The figure is not drawn to scale. C
A
D
BP
3. Which statement is NOT true?
a. arc AC arc BD
b. c. d.
4. Find the measures of the indicated angles. Which
statement is NOT true? (The figure is not drawn to
scale.)
O
a bc
d
a. a = 53°
b. b = 106°
c. c = 73°
d. d = 37°
5. Compare the quantity in Column A with the
quantity in Column B.
Z
P
QX
A
Y
3
26 4
Column A Column B
AP AX
a. The quantity in Column A is greater.
b. The quantity in Column B is greater.
c. The two quantities are equal.
d. The relationship cannot be determined from the
information given.
6. A low-wattage radio station can be heard only
within a certain distance from the station. On the
graph below, the circular region represents that part
of the city where the station can be heard, and the
center of the circle represents the location of the
station. Which equation represents the boundary for
the region where the station can be heard?
O 4 8–4–8 x
4
8
–4
–8
y
a. (x – 6) + (y – 1) = 32
b. (x + 6) + (y + 1) = 32
c. (x – 6) + (y – 1) = 16
d. (x + 6) + (y + 1) = 16
7. Write the standard equation of the circle in the
graph.
O 4 8–4–8 x
4
8
–4
–8
y
a. (x + 3) + (y – 2) = 9
b. (x – 3) + (y + 2) = 9
c. (x – 3) + (y + 2) = 18
d. (x + 3) + (y – 2) = 18
Short Answer
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.)
8. 111
O x°
9. 12
O
x°
QP
10. is tangent to circle A at B and to circle D at C (not drawn to scale).
AB = 7, BC = 18, and DC = 5. Find AD to the nearest tenth.
A
B
C
D
11. 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.
B
O
A
r
12. 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.
19 inches
13. and are all tangent to O (not drawn to
scale). JA = 9, AL = 10, and
CK = 14. Find the perimeter of .
L
J
K
O
C
A B
14. 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.
R
S
TU
V
x
In the figure, and are tangent to circle
O and bisects . The figure is not
drawn to scale.
O
P
A
B
C
D
15. For = 46, find .
16. For = 50, find .
Find the value of x. If necessary, round your
answer to the nearest tenth. The figure is not
drawn to scale.
17. , , FG = 40, RS = 37, OP = 19
F
G
R
S
OP
Q
x
18. , , , MN = 6 feet
M
O
R
A
P
N
x
19. D
C
BA
P
x°
20.
6
8
x
21.
x
23
7
22.
10
8
15x
23. The figure consists of a chord, a secant and a tangent to the circle. Round to the nearest hundredth, if necessary.
4
79
15x
24. AB = 20, BC = 6, and CD = 8
C
A
B
x
D
25. and are diameters. Find the measure of arc
ZWX. (The figure is not drawn to scale.)
W
Z
X RC
Y
46
95
Use the diagram. is a diameter, and
. The figure is not drawn to scale.
C
A
D
BP
26. Find for = 66.
27. Find m(arc BD) for m(arc AC) = 43.
28. 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 B
O
C
29. m R = 22. Find m O. (The figure is not drawn to
scale.)
O
N
Q
R
30. Given that DAB and DCB are right angles and
m BDC = 41, what is the measure of arc CAD?
(The figure is not drawn to scale.)
A
D
C
B
31. Find the measure of BAC. (The figure is not
drawn to scale.)
A
C
O
B
32. Find x. (The figure is not drawn to scale.)
A
C
O
B 46
x
33. Find m BAC. (The figure is not drawn to scale.)
A
C
O
B
34. is tangent to circle O at C, m(arc AEC) = 279,
and m ACE = 85. Find m DCE.
(The figure is not drawn to scale.)
C
A
E
O
B
D
35. If m(arc BY) = 40, what is m YAC? (The figure is
not drawn to scale.)
B
A
Y
O
C
36. In the circle, m(arc AD) = 94, and m D = 76. Find
m DCQ.
(The figure is not drawn to scale.)
A
D
C
B
P
Q
37. m(arc DE) = 96 and m(arc BC) = 67. Find m A. (The figure is not drawn to scale.)
D
A
E
C
B
38. Find the value of x for m(arc AB) = 46 and m(arc
CD) = 25. (The figure is not drawn to scale.)
C
A
D
B
O
x
39. Find m D for m B = 50. (The figure is not drawn
to scale.)
A
D
C
B
40. m S = 36, m(arc RS) = 118, and is tangent to
the circle at R. Find m U.
(The figure is not drawn to scale.)
R
UST
41. A park maintenance person stands 16 m from a
circular monument. If you assume her lines of sight
form tangents to the monument and make an angle
of 34°, what is the measure of the arc of the
monument that her lines of sight intersect?
42. Find the diameter of the circle for BC = 16 and DC
= 28. Round to the nearest tenth.
(The diagram is not drawn to scale.)
A
DC
OB
43. Find AB. Round to the nearest tenth if necessary.
C
DA
B
8
15
44. A footbridge is in the shape of an arc of a circle.
The bridge is 7 ft tall and 16 ft wide. What is the
radius of the circle that contains the bridge? Round
to the nearest tenth.
Write the standard equation for the circle.
45. center (2, 7), r = 4
46. center (–6, –8), that passes through (0, 0)
47. The center of a circle is (h, 7) and the radius is 10.
The circle passes through (3, –1). Find all possible
values of h.
48. Find the center and radius of the circle with
equation (x + 9) + (y + 5) = 64.
49. Determine whether a tangent line is shown in the
diagram, for AB = 7, OB = 3.75, and AO = 8.
Explain your reasoning. (The figure is not drawn to
scale.)
B
O
A
50. In circle O, and are tangents. (The figure is not drawn to scale.)
A
P
B
OO
C
D
a. Prove that .
b. Find m BOD for m AOP = 64. Explain your reasoning.
51. In , NL = NM, and the perimeter is 46 cm. A, B, and C are points of tangency to the circle. MC = 4 cm. Find
NL. Explain your reasoning. (The figure is not drawn to scale.)
N
M
L
B
C
A
52. CD = 42, OM = 17, ON = 16, , (The figure is not drawn to scale.)
C
D
E
F
OM
N
a. Find the radius. If your answer is not an integer, express it in radical form.
b. Find FN. If your answer is not an integer, express it in radical form.
c. Find EF. Express it as a decimal rounded to the nearest tenth.
53. a. Find x. (The figure is not drawn to scale.)
b. Is the triangle equilateral, isosceles, or scalene?
Explain.
P
Q
R
(8x – 10)°(6x)°
(10x + 10)°
54. Given: m X = 150, , m Y = 92. Find
each measurement. (The figure is not drawn to
scale.)
Y
X
W
Z
a. m Z
b. m(arc WZ)
c. m W
d. m(arc WX)
55. Given: arc AB arc CD; is tangent to circle P
at B. Explain why .
(The figure is not drawn to scale.)
A B
D X
P
C
56. Given: arc CF = arc DE
Prove:
F
C
D
E
O
57. m A = 20 and m(arc BC) = 88 (The figure is not
drawn to scale.)
C
BA
y°
x°
D
)
a. Find x.
b. Find y.
58. The diameter of a circle has endpoints P(–10, –8) and Q(4, 4).
a. Find the center of the circle.
b. Find the radius. If your answer is not an integer, express it in radical form.
c. Write an equation for the circle.
59. Graph the circle with equation (x + 1) + (y – 3) =
9.
60. The equation (x + 5) + (y + 3) = 169 models the
position and range of the source of a radio signal.
Describe the position of the source and the range of
the signals.
Essay
61. These two noncongruent circles intersect in exactly one point. Their common tangent is 24 cm, and the distance
between their centers is 25 cm.
A B
D
C24 cm
r
a. What is the sum of the two radii?
b. Express the radius of circle B in terms of r, the radius of circle A.
c. Find the radius of circle B. Show your work.
62. The chord-tangent theorem states that the measure of the angle formed by a chord and a tangent segment that
intersect at the tangent’s point of contact is equal to one half the measure of the intercepted arc. Below are three
possible cases of this theorem.
Case I Case II Case III
A
B
O X
C
A
BY
O X
C
A
BY
O X
C
Given that Case I is true, prove Case II of the chord-tangent theorem.
63. Given: The circles share the same center, O, m MON = 120, and
m(arc AX) = m(arc BY) = 106.
B
P
A
N
O
M
Y
X
a b120°
106°
106°
a. Find m P. Show your work.
b. Find a and b. Explain your reasoning.
Other
64. If a circle is inscribed in a square, then the sides of
the square are tangent to the circle. If the circle is
circumscribed about the square, are the sides of the
square tangent to the circle? Use a diagram to
explain your reasoning.
65. Show that it is not possible for the lengths of the
segments of two intersecting chords to be four
consecutive integers.
m + 3
+ 1
+ 2
m
m
m
66. Explain why arc AC arc BD, given .
A B
C D
67. If ABCD is a rectangle inscribed in circle O, do
both diagonals contain the center of the circle?
Explain.
A B
D C
O
Chapter 12 Test RETAKE REVIEW
Answer Section
MULTIPLE CHOICE
1. ANS: B PTS: 1 DIF: L1
REF: 11-4 Angle Measures and Segment Lengths OBJ: 11-4.2 Finding Segment Lengths
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
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STA: FL MA.B.1.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1 TOP: 11-4 Example 3
KEY: segment length | tangent | secant
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
2. ANS: C PTS: 1 DIF: L1 REF: 11-2 Chords and Arcs
OBJ: 11-2.1 Using Congruent Chords, Arcs, and Central Angles
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.52
STA: FL MA.A.2.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1 TOP: 11-2 Example 1
KEY: arc | central angle | congruent circles
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.52
3. ANS: A PTS: 1 DIF: L1 REF: 11-2 Chords and Arcs
OBJ: 11-2.2 Lines Through the Center of a Circle
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.52
STA: FL MA.A.2.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1 TOP: 11-2 Example 3
KEY: arc | chord-arc relationship | diameter | chord | perpendicular | angle measure | circle | right triangle
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.52
4. ANS: C PTS: 1 DIF: L2 REF: 11-3 Inscribed Angles
OBJ: 11-3.1 Finding the Measure of an Inscribed Angle
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
STA: FL MA.B.1.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1 TOP: 11-3 Example 2
KEY: circle | inscribed angle | intercepted arc | inscribed angle-arc relationship
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
5. ANS: B PTS: 1 DIF: L2
REF: 11-4 Angle Measures and Segment Lengths OBJ: 11-4.2 Finding Segment Lengths
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
STA: FL MA.B.1.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1 TOP: 11-4 Example 3
KEY: circle | intersection outside the circle | secant | tangent | chord | intersection inside the circle | segment length
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
6. ANS: D PTS: 1 DIF: L1 REF: 11-5 Circles in the Coordinate Plane
OBJ: 11-5.2 Finding the Center and Radius of a Circle
NAT: NAEP G4d | CAT5.LV20.50 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP | S9.TSK2.GM | S9.TSK2.PRA
| S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.14 | TV.LV20.52 STA: FL MA.C.3.4.2
TOP: 11-4 Example 4
KEY: center | circle | coordinate plane | radius | equation of a circle | word problem
MSC: NAEP G4d | CAT5.LV20.50 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP | S9.TSK2.GM | S9.TSK2.PRA
| S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.14 | TV.LV20.52
7. ANS: B PTS: 1 DIF: L1 REF: 11-5 Circles in the Coordinate Plane
OBJ: 11-5.2 Finding the Center and Radius of a Circle
NAT: NAEP G4d | CAT5.LV20.50 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP | S9.TSK2.GM | S9.TSK2.PRA
| S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.14 | TV.LV20.52 STA: FL MA.C.3.4.2
TOP: 11-4 Example 4 KEY: center | circle | coordinate plane | radius | equation of a circle
MSC: NAEP G4d | CAT5.LV20.50 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP | S9.TSK2.GM | S9.TSK2.PRA
| S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.14 | TV.LV20.52
SHORT ANSWER
8. ANS:
69
PTS: 1 DIF: L1 REF: 11-1 Tangent Lines
OBJ: 11-1.1 Using the Radius-Tangent Relationship
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16 |
TV.LV20.52 STA: FL MA.B.2.4.1 | FL MA.C.1.4.1 | FL MA.C.2.4.1
TOP: 11-1 Example 1
KEY: tangent to a circle | point of tangency | properties of tangents | central angle
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16 |
TV.LV20.52
9. ANS:
78
PTS: 1 DIF: L1 REF: 11-1 Tangent Lines
OBJ: 11-1.1 Using the Radius-Tangent Relationship
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16 |
TV.LV20.52 STA: FL MA.B.2.4.1 | FL MA.C.1.4.1 | FL MA.C.2.4.1
TOP: 11-1 Example 1
KEY: tangent to a circle | point of tangency | angle measure | properties of tangents | central angle
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16 |
TV.LV20.52
10. ANS:
18.1
PTS: 1 DIF: L1 REF: 11-1 Tangent Lines
OBJ: 11-1.1 Using the Radius-Tangent Relationship
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16 |
TV.LV20.52 STA: FL MA.B.2.4.1 | FL MA.C.1.4.1 | FL MA.C.2.4.1
TOP: 11-1 Example 2
KEY: tangent to a circle | point of tangency | properties of tangents | Pythagorean Theorem
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16 |
TV.LV20.52
11. ANS:
7
PTS: 1 DIF: L1 REF: 11-1 Tangent Lines
OBJ: 11-1.1 Using the Radius-Tangent Relationship
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16 |
TV.LV20.52 STA: FL MA.B.2.4.1 | FL MA.C.1.4.1 | FL MA.C.2.4.1
TOP: 11-1 Example 3
KEY: tangent to a circle | point of tangency | properties of tangents | right triangle | Pythagorean Theorem
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16 |
TV.LV20.52
12. ANS:
4.8 inches
PTS: 1 DIF: L1 REF: 11-1 Tangent Lines
OBJ: 11-1.1 Using the Radius-Tangent Relationship
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16 |
TV.LV20.52 STA: FL MA.B.2.4.1 | FL MA.C.1.4.1 | FL MA.C.2.4.1
TOP: 11-1 Example 2
KEY: word problem | tangent to a circle | point of tangency | properties of tangents | right triangle | Pythagorean
Theorem
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16 |
TV.LV20.52
13. ANS:
66
PTS: 1 DIF: L1 REF: 11-1 Tangent Lines
OBJ: 11-1.2 Using Multiple Tangents
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16 |
TV.LV20.52 STA: FL MA.B.2.4.1 | FL MA.C.1.4.1 | FL MA.C.2.4.1
TOP: 11-1 Example 5 KEY: properties of tangents | tangent to a circle | triangle
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16 |
TV.LV20.52
14. ANS:
4
PTS: 1 DIF: L2 REF: 11-1 Tangent Lines
OBJ: 11-1.2 Using Multiple Tangents
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16 |
TV.LV20.52 STA: FL MA.B.2.4.1 | FL MA.C.1.4.1 | FL MA.C.2.4.1
TOP: 11-1 Example 5 KEY: properties of tangents | tangent to a circle | pentagon
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16 |
TV.LV20.52
15. ANS:
46
PTS: 1 DIF: L1 REF: 11-1 Tangent Lines
OBJ: 11-1.2 Using Multiple Tangents
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16 |
TV.LV20.52 STA: FL MA.B.2.4.1 | FL MA.C.1.4.1 | FL MA.C.2.4.1
TOP: 11-1 Example 4 KEY: properties of tangents | tangent to a circle | Tangent Theorem
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16 |
TV.LV20.52
16. ANS:
40
PTS: 1 DIF: L1 REF: 11-1 Tangent Lines
OBJ: 11-1.2 Using Multiple Tangents
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16 |
TV.LV20.52 STA: FL MA.B.2.4.1 | FL MA.C.1.4.1 | FL MA.C.2.4.1
TOP: 11-1 Example 4 KEY: properties of tangents | tangent to a circle | Tangent Theorem
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16 |
TV.LV20.52
17. ANS:
20.5
PTS: 1 DIF: L2 REF: 11-2 Chords and Arcs
OBJ: 11-2.1 Using Congruent Chords, Arcs, and Central Angles
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.52
STA: FL MA.A.2.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1 TOP: 11-2 Example 3
KEY: circle | radius | chord | congruent chords | right triangle | Pythagorean Theorem
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.52
18. ANS:
3 ft
PTS: 1 DIF: L1 REF: 11-2 Chords and Arcs
OBJ: 11-2.1 Using Congruent Chords, Arcs, and Central Angles
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.52
STA: FL MA.A.2.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1 TOP: 11-2 Example 2
KEY: circle | radius | chord | congruent chords | bisected chords
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.52
19. ANS:
77
PTS: 1 DIF: L1 REF: 11-2 Chords and Arcs
OBJ: 11-2.1 Using Congruent Chords, Arcs, and Central Angles
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.52
STA: FL MA.A.2.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1 TOP: 11-2 Example 1
KEY: arc | central angle | congruent arcs
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.52
20. ANS:
10
PTS: 1 DIF: L1 REF: 11-2 Chords and Arcs
OBJ: 11-2.2 Lines Through the Center of a Circle
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.52
STA: FL MA.A.2.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1 TOP: 11-2 Example 3
KEY: bisected chords | circle | perpendicular | perpendicular bisector | Pythagorean Theorem
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.52
21. ANS:
13.5
PTS: 1 DIF: L1 REF: 11-2 Chords and Arcs
OBJ: 11-2.2 Lines Through the Center of a Circle
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.52
STA: FL MA.A.2.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1 TOP: 11-2 Example 3
KEY: bisected chords | circle | perpendicular | perpendicular bisector | Pythagorean Theorem
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.52
22. ANS:
12
PTS: 1 DIF: L1 REF: 11-4 Angle Measures and Segment Lengths
OBJ: 11-4.2 Finding Segment Lengths
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
STA: FL MA.B.1.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1 TOP: 11-4 Example 3
KEY: circle | chord | intersection inside the circle
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
23. ANS:
15.75
PTS: 1 DIF: L2 REF: 11-4 Angle Measures and Segment Lengths
OBJ: 11-4.2 Finding Segment Lengths
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
STA: FL MA.B.1.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1
KEY: circle | chord | intersection inside the circle | intersection outside the circle | secant | tangent to a circle
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
24. ANS:
11.5
PTS: 1 DIF: L1 REF: 11-4 Angle Measures and Segment Lengths
OBJ: 11-4.2 Finding Segment Lengths
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
STA: FL MA.B.1.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1 TOP: 11-4 Example 3
KEY: circle | intersection outside the circle | secant
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
25. ANS:
226
PTS: 1 DIF: L1 REF: 11-2 Chords and Arcs
OBJ: 11-2.1 Using Congruent Chords, Arcs, and Central Angles
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.52
STA: FL MA.A.2.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1 TOP: 11-2 Example 1
KEY: arc | central angle | congruent arcs | arc measure | arc addition | diameter
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.52
26. ANS:
57
PTS: 1 DIF: L2 REF: 11-2 Chords and Arcs
OBJ: 11-2.2 Lines Through the Center of a Circle
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.52
STA: FL MA.A.2.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1
KEY: diameter | chord | perpendicular | angle measure | circle | right triangle
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.52
27. ANS:
137°
PTS: 1 DIF: L2 REF: 11-2 Chords and Arcs
OBJ: 11-2.2 Lines Through the Center of a Circle
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.52
STA: FL MA.A.2.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1 TOP: 11-2 Example 3
KEY: arc | chord-arc relationship | diameter | chord | perpendicular | angle measure | circle | right triangle |
perpendicular bisector
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.52
28. ANS:
24.9
PTS: 1 DIF: L1 REF: 11-2 Chords and Arcs
OBJ: 11-2.2 Lines Through the Center of a Circle
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.52
STA: FL MA.A.2.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1 TOP: 11-2 Example 3
KEY: bisected chords | circle | perpendicular | perpendicular bisector | Pythagorean Theorem
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.52
29. ANS:
44
PTS: 1 DIF: L1 REF: 11-3 Inscribed Angles
OBJ: 11-3.1 Finding the Measure of an Inscribed Angle
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
STA: FL MA.B.1.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1 TOP: 11-3 Example 2
KEY: circle | inscribed angle | intercepted arc | inscribed angle-arc relationship
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
30. ANS:
262
PTS: 1 DIF: L1 REF: 11-3 Inscribed Angles
OBJ: 11-3.1 Finding the Measure of an Inscribed Angle
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
STA: FL MA.B.1.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1 TOP: 11-3 Example 2
KEY: circle | inscribed angle | intercepted arc | inscribed angle-arc relationship
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
31. ANS:
28.5
PTS: 1 DIF: L2 REF: 11-3 Inscribed Angles
OBJ: 11-3.1 Finding the Measure of an Inscribed Angle
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
STA: FL MA.B.1.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1 TOP: 11-3 Example 2
KEY: circle | inscribed angle | intercepted arc | inscribed angle-arc relationship
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
32. ANS:
23
PTS: 1 DIF: L1 REF: 11-3 Inscribed Angles
OBJ: 11-3.1 Finding the Measure of an Inscribed Angle
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
STA: FL MA.B.1.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1 TOP: 11-3 Example 1
KEY: circle | inscribed angle | intercepted arc | inscribed angle-arc relationship
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
33. ANS:
57
PTS: 1 DIF: L1 REF: 11-3 Inscribed Angles
OBJ: 11-3.1 Finding the Measure of an Inscribed Angle
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
STA: FL MA.B.1.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1 TOP: 11-3 Example 2
KEY: circle | inscribed angle | central angle | intercepted arc
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
34. ANS:
54.5
PTS: 1 DIF: L1 REF: 11-3 Inscribed Angles
OBJ: 11-3.2 The Angle Formed by a Tangent and a Chord
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
STA: FL MA.B.1.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1 TOP: 11-3 Example 3
KEY: circle | inscribed angle | tangent-chord angle | intercepted arc
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
35. ANS:
70
PTS: 1 DIF: L1 REF: 11-3 Inscribed Angles
OBJ: 11-3.2 The Angle Formed by a Tangent and a Chord
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
STA: FL MA.B.1.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1 TOP: 11-3 Example 3
KEY: circle | inscribed angle | tangent-chord angle | intercepted arc | arc measure | angle measure
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
36. ANS:
57
PTS: 1 DIF: L1 REF: 11-3 Inscribed Angles
OBJ: 11-3.2 The Angle Formed by a Tangent and a Chord
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
STA: FL MA.B.1.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1 TOP: 11-3 Example 3
KEY: circle | inscribed angle | tangent-chord angle | intercepted arc | arc measure | angle measure
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
37. ANS:
14.5
PTS: 1 DIF: L1 REF: 11-4 Angle Measures and Segment Lengths
OBJ: 11-4.1 Finding Angle Measures
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
STA: FL MA.B.1.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1 TOP: 11-4 Example 1
KEY: circle | secant | angle measure | arc measure | intersection outside the circle
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
38. ANS:
35.5
PTS: 1 DIF: L1 REF: 11-4 Angle Measures and Segment Lengths
OBJ: 11-4.1 Finding Angle Measures
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
STA: FL MA.B.1.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1 TOP: 11-4 Example 1
KEY: circle | secant | angle measure | arc measure | intersection inside the circle
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
39. ANS:
80
PTS: 1 DIF: L2 REF: 11-4 Angle Measures and Segment Lengths
OBJ: 11-4.1 Finding Angle Measures
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
STA: FL MA.B.1.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1 TOP: 11-4 Example 1
KEY: circle | chord | angle measure | arc measure | intersection on the circle | intersection outside the circle
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
40. ANS:
23
PTS: 1 DIF: L2 REF: 11-4 Angle Measures and Segment Lengths
OBJ: 11-4.1 Finding Angle Measures
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
STA: FL MA.B.1.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1 TOP: 11-4 Example 1
KEY: circle | chord | angle measure | arc measure | intersection on the circle | intersection outside the circle
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
41. ANS:
146
PTS: 1 DIF: L2 REF: 11-4 Angle Measures and Segment Lengths
OBJ: 11-4.1 Finding Angle Measures
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
STA: FL MA.B.1.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1 TOP: 11-4 Example 2
KEY: circle | angle measure | word problem | arc measure | intersection outside the circle
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
42. ANS:
33
PTS: 1 DIF: L1 REF: 11-4 Angle Measures and Segment Lengths
OBJ: 11-4.2 Finding Segment Lengths
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
STA: FL MA.B.1.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1 TOP: 11-4 Example 3
KEY: circle | intersection outside the circle | secant | tangent | diameter
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
43. ANS:
3.5
PTS: 1 DIF: L2 REF: 11-4 Angle Measures and Segment Lengths
OBJ: 11-4.2 Finding Segment Lengths
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
STA: FL MA.B.1.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1 TOP: 11-4 Example 3
KEY: circle | intersection outside the circle | secant | tangent
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
44. ANS:
8.1 ft
PTS: 1 DIF: L1 REF: 11-4 Angle Measures and Segment Lengths
OBJ: 11-4.2 Finding Segment Lengths
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
STA: FL MA.B.1.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1 TOP: 11-4 Example 4
KEY: arc | radius | intersection inside the circle | chord | segment length | word problem
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
45. ANS:
(x – 2) + (y – 7) = 16
PTS: 1 DIF: L1 REF: 11-5 Circles in the Coordinate Plane
OBJ: 11-5.1 Writing an Equation of a Circle
NAT: NAEP G4d | CAT5.LV20.50 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP | S9.TSK2.GM | S9.TSK2.PRA
| S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.14 | TV.LV20.52 STA: FL MA.C.3.4.2
TOP: 11-5 Example 1 KEY: equation of a circle | center | radius
MSC: NAEP G4d | CAT5.LV20.50 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP | S9.TSK2.GM | S9.TSK2.PRA
| S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.14 | TV.LV20.52
46. ANS:
(x + 6) + (y + 8) = 100
PTS: 1 DIF: L1 REF: 11-5 Circles in the Coordinate Plane
OBJ: 11-5.1 Writing an Equation of a Circle
NAT: NAEP G4d | CAT5.LV20.50 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP | S9.TSK2.GM | S9.TSK2.PRA
| S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.14 | TV.LV20.52 STA: FL MA.C.3.4.2
TOP: 11-5 Example 2 KEY: equation of a circle | center | radius | point on the circle
MSC: NAEP G4d | CAT5.LV20.50 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP | S9.TSK2.GM | S9.TSK2.PRA
| S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.14 | TV.LV20.52
47. ANS:
9, –3
PTS: 1 DIF: L3 REF: 11-5 Circles in the Coordinate Plane
OBJ: 11-5.1 Writing an Equation of a Circle
NAT: NAEP G4d | CAT5.LV20.50 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP | S9.TSK2.GM | S9.TSK2.PRA
| S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.14 | TV.LV20.52 STA: FL MA.C.3.4.2
KEY: equation of a circle | center | radius | point on the circle | algebra
MSC: NAEP G4d | CAT5.LV20.50 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP | S9.TSK2.GM | S9.TSK2.PRA
| S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.14 | TV.LV20.52
48. ANS:
center (–9, –5); r = 8
PTS: 1 DIF: L1 REF: 11-5 Circles in the Coordinate Plane
OBJ: 11-5.2 Finding the Center and Radius of a Circle
NAT: NAEP G4d | CAT5.LV20.50 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP | S9.TSK2.GM | S9.TSK2.PRA
| S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.14 | TV.LV20.52 STA: FL MA.C.3.4.2
TOP: 11-5 Example 3 KEY: center | circle | coordinate plane | radius
MSC: NAEP G4d | CAT5.LV20.50 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP | S9.TSK2.GM | S9.TSK2.PRA
| S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.14 | TV.LV20.52
49. ANS:
No, because .
PTS: 1 DIF: L1 REF: 11-1 Tangent Lines
OBJ: 11-1.1 Using the Radius-Tangent Relationship
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16 |
TV.LV20.52 STA: FL MA.B.2.4.1 | FL MA.C.1.4.1 | FL MA.C.2.4.1
TOP: 11-1 Example 3
KEY: tangent to a circle | right triangle | Pythagorean Theorem | properties of tangents
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16 |
TV.LV20.52
50. ANS:
a. Since all radii are congruent, . Tangent segments from a point outside a circle
to two points on the circle are congruent, so . By the Reflexive Property,
. It follows that by SSS.
b. 116; since , then by CPCTC, so m BOP = 64.
BOD and BOP form a linear pair, so m BOD = 180 – 64 = 116.
PTS: 1 DIF: L2 REF: 11-1 Tangent Lines
OBJ: 11-1.1 Using the Radius-Tangent Relationship
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16 |
TV.LV20.52 STA: FL MA.B.2.4.1 | FL MA.C.1.4.1 | FL MA.C.2.4.1
TOP: 11-1 Example 3
KEY: multi-part question | tangent to a circle | right triangle | proof | properties of tangents | reasoning
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16 |
TV.LV20.52
51. ANS:
and, by the Tangent Theorem, NC = NA. By subtraction, . Also by the Tangent Theorem,
and , so . The perimeter is 46 cm, so
. By substitution, , so . Since
, , or 19 cm.
PTS: 1 DIF: L2 REF: 11-1 Tangent Lines
OBJ: 11-1.2 Using Multiple Tangents
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16 |
TV.LV20.52 STA: FL MA.B.2.4.1 | FL MA.C.1.4.1 | FL MA.C.2.4.1
TOP: 11-1 Example 5
KEY: reasoning | tangent to a circle | tangent | properties of tangents | Tangent Theorem
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16 |
TV.LV20.52
52. ANS:
a.
b.
c. 43.5
PTS: 1 DIF: L2 REF: 11-2 Chords and Arcs
OBJ: 11-2.1 Using Congruent Chords, Arcs, and Central Angles
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.52
STA: FL MA.A.2.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1 TOP: 11-2 Example 2
KEY: multi-part question | chord | radius | congruent chords
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.52
53. ANS:
a. 15
b. Scalene; the arc measures are 110°, 90°, and 160°. Since the arcs are not congruent,
neither are the chords that intercept them.
PTS: 1 DIF: L2 REF: 11-2 Chords and Arcs
OBJ: 11-2.1 Using Congruent Chords, Arcs, and Central Angles
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.52
STA: FL MA.A.2.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1
KEY: chord | chord-arc relationship | multi-part question | reasoning
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.52
54. ANS:
a. 30
b. 150
c. 88
d. 34
PTS: 1 DIF: L2 REF: 11-3 Inscribed Angles
OBJ: 11-3.1 Finding the Measure of an Inscribed Angle
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
STA: FL MA.B.1.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1 TOP: 11-3 Example 1
KEY: chord | inscribed angle-arc relationship | circle
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
55. ANS:
Since and are inscribed in semicircles, they are both right angles. Also, is a right angle
because it forms a linear pair with . All right angles are congruent, so .
PTS: 1 DIF: L3 REF: 11-3 Inscribed Angles
OBJ: 11-3.1 Finding the Measure of an Inscribed Angle
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
STA: FL MA.B.1.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1
KEY: tangent | properties of tangents | chord | inscribed angle-arc relationship | circle | diagonal | rectangle | angle
measure | arc | circle | inscribed angle | intercepted arc | reasoning
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
56. ANS:
Statements Reasons
1. 1. Inscribed angles intersecting the same arc are .
2. arc CF arc DE 2. Given
3. (arc CF)
(arc DE)
3. Inscribed Angle Theorem
4. (arc CF)
(arc CF)
4. Substitution
5. 5. Substitution
6. 6. Definition of congruence
7. 7. Reflexive property
8. 8. AAS
PTS: 1 DIF: L3 REF: 11-3 Inscribed Angles
OBJ: 11-3.1 Finding the Measure of an Inscribed Angle
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
STA: FL MA.B.1.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1 TOP: 11-3 Example 2
KEY: chord | inscribed angle-arc relationship | circle | proof
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
57. ANS:
a. 48
b. 112
PTS: 1 DIF: L1 REF: 11-4 Angle Measures and Segment Lengths
OBJ: 11-4.1 Finding Angle Measures
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
STA: FL MA.B.1.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1 TOP: 11-4 Example 1
KEY: angle measure | angle-arc relationship | arc | arc addition | arc measure | circle | intercepted arc | intersection
outside the circle | intersection on the circle | secant | tangent to a circle | multi-part question
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
58. ANS:
a. (–3, –2)
b.
c. (x + 3) + (y + 2) = 85
PTS: 1 DIF: L2 REF: 11-5 Circles in the Coordinate Plane
OBJ: 11-5.2 Finding the Center and Radius of a Circle
NAT: NAEP G4d | CAT5.LV20.50 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP | S9.TSK2.GM | S9.TSK2.PRA
| S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.14 | TV.LV20.52 STA: FL MA.C.3.4.2
KEY: multi-part question | circle | coordinate plane | algebra | center | diameter | point on the circle | segment
length | equation of a circle
MSC: NAEP G4d | CAT5.LV20.50 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP | S9.TSK2.GM | S9.TSK2.PRA
| S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.14 | TV.LV20.52
59. ANS:
O 4 8–4–8 x
4
8
–4
–8
y
PTS: 1 DIF: L2 REF: 11-5 Circles in the Coordinate Plane
OBJ: 11-5.2 Finding the Center and Radius of a Circle
NAT: NAEP G4d | CAT5.LV20.50 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP | S9.TSK2.GM | S9.TSK2.PRA
| S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.14 | TV.LV20.52 STA: FL MA.C.3.4.2
TOP: 11-5 Example 3 KEY: circle | coordinate plane | center
MSC: NAEP G4d | CAT5.LV20.50 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP | S9.TSK2.GM | S9.TSK2.PRA
| S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.14 | TV.LV20.52
60. ANS:
The signal is located at (–5, –3) and has a range of 13 units.
PTS: 1 DIF: L1 REF: 11-5 Circles in the Coordinate Plane
OBJ: 11-5.2 Finding the Center and Radius of a Circle
NAT: NAEP G4d | CAT5.LV20.50 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP | S9.TSK2.GM | S9.TSK2.PRA
| S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.14 | TV.LV20.52 STA: FL MA.C.3.4.2
TOP: 11-5 Example 4 KEY: circle | coordinate plane | center | word problem
MSC: NAEP G4d | CAT5.LV20.50 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP | S9.TSK2.GM | S9.TSK2.PRA
| S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.14 | TV.LV20.52
ESSAY
61. ANS:
[4] a. 25 cm
b. 25 – r
c. Let r + x represent the radius of circle B.
x + 24 = 25 ; x = 7; r + 7 = 25 – r; r = 9
r + x = 9 + 7 = 16; 16 cm
[3] one computational error
[2] incomplete work in part c OR correct answers with no work shown
[1] only two parts correct
PTS: 1 DIF: L3 REF: 11-1 Tangent Lines
OBJ: 11-1.2 Using Multiple Tangents
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16 |
TV.LV20.52 STA: FL MA.B.2.4.1 | FL MA.C.1.4.1 | FL MA.C.2.4.1
KEY: extended response | rubric-based question | point of tangency | properties of tangents | Pythagorean Theorem
| right triangle | tangent to a circle
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16 |
TV.LV20.52
62. ANS:
[4] By the inscribed angle theorem, . By Case I, we know
.
It follows that .
Therefore, .
[3] error in angle or arc name
[2] illogical sequence of steps OR no reasons stated for important steps
[1] missing step
PTS: 1 DIF: L2 REF: 11-3 Inscribed Angles
OBJ: 11-3.2 The Angle Formed by a Tangent and a Chord
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
STA: FL MA.B.1.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1
KEY: extended response | rubric-based question | circle | angle measure | angle-arc relationship | arc addition | arc
measure | diameter | inscribed angle | inscribed angle-arc relationship | intercepted arc | proof | tangent-chord angle
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
63. ANS:
[4] a. 60; 120 + 90 + 90 + m P = 360
b. ; a – b = 120
a + b + 2(106) = 360; a + b = 148
a = 134; b = 14
[3] one computational error
[2] correct answers with no work shown
[1] only one part correct
PTS: 1 DIF: L3 REF: 11-4 Angle Measures and Segment Lengths
OBJ: 11-4.1 Finding Angle Measures
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
STA: FL MA.B.1.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1
KEY: extended response | rubric-based question | circle | angle measure | angle-arc relationship | arc addition | arc
measure | inscribed angle | inscribed angle-arc relationship | intercepted arc | tangent to a circle | central angle |
intersection on the circle | intersection outside the circle
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
OTHER
64. ANS:
No; a tangent to a circle is a line that intersects the circle in exactly one point. Each segment of the square
intersects the circle in exactly two points. In the diagram, for example, intersects the circle in two points, A
and B, so is not tangent to the circle.
A
BD
C
PTS: 1 DIF: L2 REF: 11-1 Tangent Lines
OBJ: 11-1.2 Using Multiple Tangents
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16 |
TV.LV20.52 STA: FL MA.B.2.4.1 | FL MA.C.1.4.1 | FL MA.C.2.4.1
KEY: reasoning | tangent to a circle | inscribe | circumscribe | square | tangent | properties of tangents
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16 |
TV.LV20.52
65. ANS:
Let m, m + 1, m + 2, and m + 3 represent the four consecutive numbers. Then the product of the greatest and least
numbers will equal the product of the two consecutive middle numbers. Solving the equation m(m + 3) = (m + 1)(m
+ 2) for m results in m2 + 3m = m2 + 3m + 2, or 0 = 2, which is false.
PTS: 1 DIF: L3 REF: 11-4 Angle Measures and Segment Lengths
OBJ: 11-4.1 Finding Angle Measures
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
STA: FL MA.B.1.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1 TOP: 11-4 Example 3
KEY: circle | intersection inside the circle | segment length | algebra | proof | reasoning
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
66. ANS:
Draw . Then because alternate interior angles of parallel lines are congruent. Thus, arc AC
arc BD, since congruent angles intercept congruent arcs in a circle or in congruent circles.
PTS: 1 DIF: L2 REF: 11-2 Chords and Arcs
OBJ: 11-2.2 Lines Through the Center of a Circle
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.52
STA: FL MA.A.2.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1 TOP: 11-2 Example 3
KEY: chord | angle-arc relationship | reasoning
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.52
67. ANS:
Yes; all angles of a rectangle are right, so each angle measures 90. The intercepted arcs, therefore, are each 180.
So, both diagonals are diameters of the circle, and diameters always pass through the center of the circle.
PTS: 1 DIF: L2 REF: 11-3 Inscribed Angles
OBJ: 11-3.1 Finding the Measure of an Inscribed Angle
NAT: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16
STA: FL MA.B.1.4.2 | FL MA.B.2.4.1 | FL MA.C.1.4.1
KEY: chord | inscribed angle-arc relationship | circle | diagonal | rectangle | angle measure | arc | circle | inscribed
angle | intercepted arc | reasoning
MSC: NAEP G3e | CAT5.LV20.50 | CAT5.LV20.55 | CAT5.LV20.56 | IT.LV16.AM | IT.LV16.CP |
S9.TSK2.GM | S9.TSK2.PRA | S10.TSK2.GM | S10.TSK2.PRA | TV.LV20.13 | TV.LV20.14 | TV.LV20.16