Name: ______________________ Class: _________________ Date: _________
ID: A
Geometry Spring Final Exam Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1. Which figure can be used to make a pure tessellation?
A.
B.
C.
D.
Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn
to scale.
2.
A.
19.34
B.
10.49
C.
110
D.
9.22
Short Answer
The figures are similar. The area of one figure is given. Find the area of the other figure to the
nearest whole number.
3. Find the similarity ratio and the ratio of perimeters for two regular octagons with areas of 18 in. 2 and
50 in. 2 .
4. Two trapezoids have areas 432 cm 2 and 48 cm 2 . Find their ratio of similarity.
1
Name: ______________________
ID: A
5. The area of the larger triangle is 1589 ft 2 .
6. 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.)
Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn
to scale.
7.
2
Name: ______________________
ID: A
8.
9. FG ⊥ OP, RS ⊥ OQ, FG = 40, RS = 37, OP = 19
10. The figure consists of a chord, a secant and a tangent to the circle. Round to the nearest hundredth, if
necessary.
3
Name: ______________________
ID: A
11. AB = 20, BC = 6, and CD = 8
12.
13. m(arc DE) = 96 and m(arc BC) = 67. Find m∠A. (The figure is not drawn to scale.)
4
Name: ______________________
ID: A
14. Find the values of the variables and the lengths of the sides of this kite.
15. DEFG is a rectangle. DF = 5x – 5 and EG = x + 11. Find the value of x and the length of each diagonal.
The figures are similar. Give the ratio of the perimeters and the ratio of the areas of the first
figure to the second. The figures are not drawn to scale.
16.
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.)
17. m∠O = 111
5
Name: ______________________
ID: A
18. m∠P = 12
In the diagram, the dashed figure is the image of the solid figure.
19. Name the image of DE.
20. Name the image of ∠E.
21. BC 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.
6
Name: ______________________
ID: A
Find the volume of the given prism. Round to the nearest tenth if necessary.
22.
23.
24. Find the value of x for m(arc AB) = 46 and m(arc CD) = 25. (The figure is not drawn to scale.)
7
Name: ______________________
ID: A
The hexagon GIKMPR and ΔFJN are regular. The dashed line segments form 30° angles.
25. Find the image of point P after a rotation of 240° about point M.
26. Find the angle of rotation about O that maps Q to F.
27. Find the angle of rotation about O that maps JK to FG.
Find the area of the triangle. Give the answer to the nearest tenth. The drawing may not be to
scale.
28.
29.
8
Name: ______________________
ID: A
Find the surface area of the cylinder in terms of π .
30.
Find the area of a parallelogram with the given vertices.
31. P(–2, –5), Q(9, –5), R(1, 5), S(12, 5)
32. The dashed triangle is a dilation image of the solid triangle. What is the scale factor?
33. ABCD is a parallelogram. If m∠DAB
not to scale.
= 115, then m∠BCD =
9
?
. The diagram is
Name: ______________________
ID: A
Find the area of the circle. Leave your answer in terms of π .
34. Find the area of the shaded portion of the figure. Dimensions are in feet. Leave your answer in terms of π .
35.
Find the area. The figure is not drawn to scale.
36.
37.
10
Name: ______________________
ID: A
38.
39.
40.
41.
42.
11
Name: ______________________
ID: A
43. In the diagram, the dashed figure is the image of the solid figure.
a. List all pairs of corresponding sides.
b. Name the image of point D.
Are the two figures similar? If so, give the similarity ratio of the smaller figure to the larger
figure.
44.
Use formulas to find the lateral area and surface area of the given prism. Show your answer to
the nearest whole number.
45.
12
Name: ______________________
ID: A
46.
47. For parallelogram PQRS, find the values of x and y. Then find PT, TR, ST, and TQ. The diagram is not to
scale.
Find the volume of the square pyramid shown. Round to the nearest tenth as necessary.
48.
13
Name: ______________________
ID: A
49. Find the values of the variables in the parallelogram. The diagram is not to scale.
50. The volumes of two similar solids are 729 m 3 and 125 m 3 . The surface area of the larger solid is 324 m 3 .
What is the surface area of the smaller solid?
51. The vertices of a triangle are P(–3, 8), Q(–6, –4), and R(1, 1). Name the vertices of the image reflected in
the x-axis.
Find the area of the trapezoid. Leave your answer in simplest radical form.
52.
53. Find the area of the rhombus.
54. The vertices of a triangle are P(–7, –4), Q(–7, –8), and R(3, –3). Name the vertices of the image reflected in
the line y = x.
14
Name: ______________________
ID: A
55. Find values of x and y for which ABCD must be a parallelogram. The diagram is not to
scale.
56. 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.
57. Find the area of the shaded region. Leave your answer in terms of π and in simplest radical form.
15
Name: ______________________
ID: A
58. Find AB. Round to the nearest tenth if necessary.
59. Find the slant height x of the pyramid shown to the nearest tenth.
60. In the rhombus, m∠1 = 15x, m∠2 = x + y, and m∠3 = 30z. Find the value of each variable. The
diagram is not to scale.
16
Name: ______________________
ID: A
Find the surface area of the pyramid shown to the nearest whole number.
61.
62.
m∠R = 130 and m∠S = 80. Find m∠T. The diagram is not to scale.
63. If ON = 5x − 5, LM = 4x + 4, NM = x − 9, and OL = 2y
x and y for which LMNO must be a parallelogram. The diagram is not to scale.
17
− 5, find the values of
Name: ______________________
ID: A
64. m∠R = 22. Find m∠O. (The figure is not drawn to scale.)
65. If m(arc BY) = 40, what is m∠YAC? (The figure is not drawn to scale.)
66. The circumference of a circle is 60π cm. Find the diameter, the radius, and the length of an arc of 140°.
67. Find the area of the rhombus. Leave your answer in simplest radical form.
18
Name: ______________________
ID: A
68. Find the center and radius of the circle with equation (x + 9) 2 + (y + 5) 2 = 64.
69. In parallelogram DEFG, DH = x + 3, HF = 3y, GH = 4x – 5, and HE = 2y + 3. Find the values of x and y.
The diagram is not to scale.
70. Find m∠BAC. (The figure is not drawn to scale.)
Describe the cross section.
71.
19
Name: ______________________
ID: A
72.
73. The vertices of the trapezoid are the origin along with A(4m, 4n), B(4q, 4n), and C(4p, 0). Find the
midpoint of the midsegment of the trapezoid.
74. Find the volume of the composite space figure to the nearest whole number.
20
Name: ______________________
ID: A
75. WZ and XR are diameters. Find the measure of arc ZWX. (The figure is not drawn to scale.)
Name the type of symmetry for the figure.
76.
77. Find the value of h in the parallelogram.
Not drawn to scale
78. Find the values of the variables and the lengths of the sides of this rectangle. The diagram is not to scale.
21
Name: ______________________
ID: A
79. Find the surface area of the cone in terms of π .
80. Find the lateral area and surface area of the cone. Round the answers to the nearest tenth. (The figure is
not drawn to scale.)
Find the volume of the cylinder in terms of π .
81.
82. Find the image of O(–1, –3) after two reflections, first in the line y = –2, and then in the line x = –2.
22
Name: ______________________
ID: A
83. 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.
84. LaKeesha was sitting in seat J1 at a soccer game when she discovered her ticket was for seat D4. Write a
rule to describe the translation needed to put her in the proper seat.
85. What is the most precise name for quadrilateral ABCD with vertices A(–5, 2), B(–3, 6), C(6, 6), and
D(4, 2)?
Write the standard equation for the circle.
86. center (–6, –8), that passes through (0, 0)
87. center (2, 7), r = 4
88. For the parallelogram, if m∠2
not to scale.
= 5x − 28 and m∠4 = 3x − 10, find m∠3. The diagram is
89. In the figure, the horizontal lines are parallel and AB
is not to scale.
23
= BC = CD. Find KL and FG. The diagram
Name: ______________________
ID: A
90. Find the area of an equilateral triangle with side 12.
91. A glass vase weighs 0.17 lb. How much does a similarly shaped vase of the same glass weigh if each
dimension is 6 times as large?
92. In the parallelogram, m∠KLO
scale.
= 68 and m∠MLO = 61. Find ∠KJM. The diagram is not to
93. LMNO is a parallelogram. If NM = x + 15 and OL = 3x + 5 find the value of x and then find NM and OL.
94. Name the minor arc and find its measure.
24
Name: ______________________
ID: A
Use scalar multiplication to find the image vertices for a dilation with center (0, 0) and the
given scale factor.
95. scale factor 4
96. The vertices of a triangle are P(–2, –4), Q(2, –5), and R(–1, –8). Name the vertices of the image reflected in
the y-axis.
97. Name the major arc and find its measure.
98. Draw the image of ΔABC reflected in the x-axis.
25
Name: ______________________
⎯⎯
→
ID: A
⎯⎯
→
⎯⎯
⎯
→
In the figure, PA and PB are tangent to circle O and PD bisects ∠BPA. The figure is not drawn
to scale.
99. For m∠AOC = 46, find m∠POB.
100. The isosceles trapezoid is part of an isosceles triangle with a 46° vertex angle. What is the measure of an
acute base angle of the trapezoid? Of an obtuse base angle? The diagram is not to scale.
26
ID: A
Geometry Spring Final Exam Review
Answer Section
MULTIPLE CHOICE
1. ANS:
OBJ:
STA:
2. ANS:
OBJ:
TOP:
B
REF:
9-7 Tessellations
9-7.1 Identifying transformations in tessellations
NM 2.B
B
REF:
12-4 Angle Measures and Segment Lengths
12-4.2 Finding Segment Lengths
STA:
NM 3.A | NM 3.A.7b
12-4 Example 3
SHORT ANSWER
3. ANS:
3 : 5; 3: 5
REF:
OBJ:
STA:
4. ANS:
3:1
10-4 Perimeters and Areas of Similar Figures
10-4.1 Finding Perimeters and Areas of Similar Figures
NM 3.A | NM 3.A.1 | NM 3.D.3
TOP:
10-4 Example 4
REF:
OBJ:
STA:
5. ANS:
10-4 Perimeters and Areas of Similar Figures
10-4.1 Finding Perimeters and Areas of Similar Figures
NM 3.A | NM 3.A.1 | NM 3.D.3
TOP:
10-4 Example 4
1217 ft 2
REF:
OBJ:
STA:
6. ANS:
24.9
REF:
OBJ:
STA:
10-4 Perimeters and Areas of Similar Figures
10-4.1 Finding Perimeters and Areas of Similar Figures
NM 3.A | NM 3.A.1 | NM 3.D.3
TOP:
10-4 Example 2
12-2 Chords and Arcs
12-2.2 Lines Through the Center of a Circle
NM 3.A | NM 3.A.7b
TOP:
1
12-2 Example 3
ID: A
7. ANS:
10
REF:
OBJ:
STA:
8. ANS:
77
12-2 Chords and Arcs
12-2.2 Lines Through the Center of a Circle
NM 3.A | NM 3.A.7b
TOP:
REF:
OBJ:
STA:
9. ANS:
20.5
12-2 Chords and Arcs
12-2.1 Using Congruent Chords, Arcs, and Central Angles
NM 3.A | NM 3.A.7b
TOP:
12-2 Example 1
REF:
OBJ:
STA:
10. ANS:
15.75
12-2 Chords and Arcs
12-2.1 Using Congruent Chords, Arcs, and Central Angles
NM 3.A | NM 3.A.7b
TOP:
12-2 Example 3
REF:
OBJ:
11. ANS:
11.5
12-4 Angle Measures and Segment Lengths
12-4.2 Finding Segment Lengths
STA:
REF:
OBJ:
TOP:
12. ANS:
12
12-4 Angle Measures and Segment Lengths
12-4.2 Finding Segment Lengths
STA:
12-4 Example 3
NM 3.A | NM 3.A.7b
REF:
OBJ:
TOP:
13. ANS:
14.5
12-4 Angle Measures and Segment Lengths
12-4.2 Finding Segment Lengths
STA:
12-4 Example 3
NM 3.A | NM 3.A.7b
REF:
OBJ:
TOP:
12-4 Angle Measures and Segment Lengths
12-4.1 Finding Angle Measures
STA:
12-4 Example 1
NM 3.A | NM 3.A.7b
2
12-2 Example 3
NM 3.A | NM 3.A.7b
ID: A
14. ANS:
x = 9, y = 13; 11, 20
REF:
6-1 Classifying Quadrilaterals
OBJ:
6-1.1 Classifying Special Quadrilaterals
STA:
NM 3.A.3 | NM 3.B | NM 3.B.2 | NM 3.B.4 | NM 2.D.5
TOP:
6-1 Example 3
15. ANS:
x = 4, DF = 15, EG = 15
REF:
6-4 Special Parallelograms
OBJ:
6-4.1 Diagonals of Rhombuses and Rectangles
STA:
NM 3.A | NM 3.A.7a | NM 3.A.7c
TOP:
16. ANS:
8
64
and
3
9
6-4 Example 2
REF:
OBJ:
STA:
17. ANS:
69
10-4 Perimeters and Areas of Similar Figures
10-4.1 Finding Perimeters and Areas of Similar Figures
NM 3.A | NM 3.A.1 | NM 3.D.3
TOP:
10-4 Example 1
REF:
OBJ:
STA:
18. ANS:
78
12-1 Tangent Lines
12-1.1 Using the Radius-Tangent Relationship
NM 3.A | NM 3.D.4
TOP:
12-1 Example 1
REF:
OBJ:
STA:
19. ANS:
QR
12-1 Tangent Lines
12-1.1 Using the Radius-Tangent Relationship
NM 3.A | NM 3.D.4
TOP:
12-1 Example 1
REF:
STA:
20. ANS:
∠R
9-1 Translations
NM 3.C | NM 3.C.1a | NM 3.C.2a
OBJ:
TOP:
9-1.1 Identifying isometries
9-1 Example 2
REF:
STA:
9-1 Translations
NM 3.C | NM 3.C.1a | NM 3.C.2a
OBJ:
TOP:
9-1.1 Identifying isometries
9-1 Example 2
3
ID: A
21. ANS:
18.1
REF:
OBJ:
STA:
22. ANS:
12-1 Tangent Lines
12-1.1 Using the Radius-Tangent Relationship
NM 3.A | NM 3.D.4
TOP:
12-1 Example 2
2143.4 yd 3
REF:
STA:
23. ANS:
11-4 Volumes of Prisms and Cylinders
NM 3.A.4 | NM 3.D.3
OBJ:
TOP:
11-4.1 Finding Volume of a Prism
11-4 Example 2
REF:
STA:
24. ANS:
35.5°
11-4 Volumes of Prisms and Cylinders
NM 3.A.4 | NM 3.D.3
OBJ:
TOP:
11-4.1 Finding Volume of a Prism
11-4 Example 1
REF:
OBJ:
TOP:
25. ANS:
K
12-4 Angle Measures and Segment Lengths
12-4.1 Finding Angle Measures
STA:
12-4 Example 1
REF:
STA:
TOP:
26. ANS:
300°
9-3 Rotations OBJ:
9-3.1 Drawing and identifying rotation images
NM 3.C | NM 3.C.1a | NM 3.C.1b | NM 3.C.2a
9-3 Example 2
REF:
STA:
TOP:
27. ANS:
120°
9-3 Rotations OBJ:
9-3.1 Drawing and identifying rotation images
NM 3.C | NM 3.C.1a | NM 3.C.1b | NM 3.C.2a
9-3 Example 3
REF:
STA:
TOP:
9-3 Rotations OBJ:
9-3.1 Drawing and identifying rotation images
NM 3.C | NM 3.C.1a | NM 3.C.1b | NM 3.C.2a
9-3 Example 3
308 ft 3
4
NM 3.A | NM 3.A.7b
ID: A
28. ANS:
63.4 cm 2
REF:
STA:
29. ANS:
10-5 Trigonometry and Area
NM 3.A.1 | NM 3.D.3 | NM 3.D.5
OBJ:
TOP:
10-5.2 Finding the Area of a Triangle
10-5 Example 3
10-5 Trigonometry and Area
NM 3.A.1 | NM 3.D.3 | NM 3.D.5
OBJ:
TOP:
10-5.2 Finding the Area of a Triangle
10-5 Example 3
10.5 m 2
REF:
STA:
30. ANS:
304π in. 2
REF:
11-2 Surface Areas of Prisms and Cylinders
OBJ:
11-2.2 Finding Surface Area of a Cylinder
STA:
NM 3.A.4 | NM 3.D.3
TOP:
31. ANS:
110 units2
REF:
OBJ:
TOP:
32. ANS:
1
10-1 Areas of Parallelograms and Triangles
10-1.1 Area of a Parallelogram
STA:
10-1 Example 1
11-2 Example 3
NM 3.A.1 | NM 3.D.3
2
REF:
STA:
TOP:
33. ANS:
115
9-5 Dilations OBJ:
9-5.1 Locating dilation images
NM 3.C |NM 3.C.1a | NM 3.C.2a | NM 3.C.2b
9-5 Example 1
REF:
6-2 Properties of Parallelograms
STA:
NM 3.A.3 | NM 3.A.7a
34. ANS:
(68 − 16π ) ft 2
REF:
OBJ:
STA:
OBJ:
10-7 Areas of Circles and Sectors
10-7.1 Finding Areas of Circles and Parts of Circles
NM 3.D.3
TOP:
10-7 Example 1
5
6-2.1 Properties: Sides and Angles
ID: A
35. ANS:
12.96π m2
REF:
10-7 Areas of Circles and Sectors
OBJ:
10-7.1 Finding Areas of Circles and Parts of Circles
STA:
NM 3.D.3
TOP:
10-7 Example 1
36. ANS:
303.66 in.2
REF:
10-2 Areas of Trapezoids, Rhombuses, and Kites
OBJ:
10-2.1 Area of a Trapezoid
STA:
TOP:
10-2 Example 1
37. ANS:
144.5 cm2
REF:
10-1 Areas of Parallelograms and Triangles
OBJ:
10-1.2 Area of a Triangle
STA:
TOP:
10-1 Example 3
38. ANS:
1188 in.2
NM 3.A.1 | NM 3.D.3
NM 3.A.1 | NM 3.D.3
REF:
OBJ:
TOP:
39. ANS:
15 yd2
10-1 Areas of Parallelograms and Triangles
10-1.1 Area of a Parallelogram
STA:
10-1 Example 1
NM 3.A.1 | NM 3.D.3
REF:
OBJ:
TOP:
40. ANS:
70 in.2
10-1 Areas of Parallelograms and Triangles
10-1.2 Area of a Triangle
STA:
10-1 Example 3
NM 3.A.1 | NM 3.D.3
REF:
10-2 Areas of Trapezoids, Rhombuses, and Kites
OBJ:
10-2.1 Area of a Trapezoid
STA:
TOP:
10-2 Example 1
41. ANS:
28.12 cm 2
REF:
OBJ:
TOP:
10-1 Areas of Parallelograms and Triangles
10-1.1 Area of a Parallelogram
STA:
10-1 Example 1
6
NM 3.A.1 | NM 3.D.3
NM 3.A.1 | NM 3.D.3
ID: A
42. ANS:
278 in.2
REF:
10-1 Areas of Parallelograms and Triangles
OBJ:
10-1.2 Area of a Triangle
STA:
TOP:
10-1 Example 3
43. ANS:
a. CF ≅ TS, FE ≅ SR, ED ≅ RQ, DC ≅ QT
b. Q
REF:
STA:
44. ANS:
no
9-1 Translations
NM 3.C | NM 3.C.1a | NM 3.C.2a
OBJ:
TOP:
REF:
OBJ:
STA:
45. ANS:
11-7 Areas and Volumes of Similar Solids
11-7.1 Finding Relationships in Area and Volume
NM 3.A.4 | NM 3.D.3
TOP:
NM 3.A.1 | NM 3.D.3
9-1.1 Identifying isometries
9-1 Example 2
11-7 Example 1
342 m 2 ; 382 m 2
REF:
OBJ:
TOP:
46. ANS:
11-2 Surface Areas of Prisms and Cylinders
11-2.1 Finding Surface Area of a Prism STA:
11-2 Example 2
NM 3.A.4 | NM 3.D.3
504 m 2 ; 519 m 2
REF:
11-2 Surface Areas of Prisms and Cylinders
OBJ:
11-2.1 Finding Surface Area of a Prism STA:
TOP:
11-2 Example 2
47. ANS:
x = 3, y = 6; 5, 5, 7, 7
REF:
OBJ:
STA:
48. ANS:
NM 3.A.4 | NM 3.D.3
6-2 Properties of Parallelograms
6-2.2 Properties: Diagonals and Transversals
NM 3.A.3 | NM 3.A.7a
TOP:
6-2 Example 3
11-5 Volumes of Pyramids and Cones
NM 3.A.4 | NM 3.D.3
11-5.1 Finding Volume of a Pyramid
11-5 Example 1
3072 ft 3
REF:
STA:
7
OBJ:
TOP:
ID: A
49. ANS:
x = 29, y = 49, z = 102
REF:
STA:
50. ANS:
6-2 Properties of Parallelograms
NM 3.A.3 | NM 3.A.7a
OBJ:
6-2.1 Properties: Sides and Angles
100 m 2
REF:
11-7 Areas and Volumes of Similar Solids
OBJ:
11-7.1 Finding Relationships in Area and Volume
STA:
NM 3.A.4 | NM 3.D.3
TOP:
51. ANS:
P′(−3, − 8), Q ′(−6, 4), R′(1, − 1)
REF:
STA:
TOP:
52. ANS:
63 cm2
9-2 Reflections
OBJ:
NM 3.C | NM 3.C.1a | NM 3.C.1b | NM 3.C.2a
9-2 Example 1
REF:
10-2 Areas of Trapezoids, Rhombuses, and Kites
OBJ:
10-2.1 Area of a Trapezoid
STA:
TOP:
10-2 Example 2
53. ANS:
128 m2
REF:
10-2 Areas of Trapezoids, Rhombuses, and Kites
OBJ:
10-2.2 Finding Areas of Rhombuses and Kites
STA:
NM 3.A.1 | NM 3.D.3
TOP:
54. ANS:
P′(−4, − 7), Q ′(−8, − 7), R′(−3, 3)
REF:
9-2 Reflections
OBJ:
STA:
NM 3.C | NM 3.C.1a | NM 3.C.1b | NM 3.C.2a
TOP:
9-2 Example 1
55. ANS:
x = 10, y = 7
REF:
OBJ:
STA:
11-7 Example 3
9-2.1 Finding reflection images
NM 3.A.1 | NM 3.D.3
10-2 Example 4
9-2.1 Finding reflection images
6-3 Proving That a Quadrilateral is a Parallelogram
6-3.1 Is the Quadrilateral a Parallelogram?
NM 3.A | NM 3.A.7a | NM 3.A.7c
TOP:
6-3 Example 1
8
ID: A
56. ANS:
4
REF:
12-1 Tangent Lines
STA:
NM 3.A | NM 3.D.4
57. ANS:
ÁÊÁÁ 120π + 36 3 ˜ˆ˜˜ m 2
Ë
¯
REF:
OBJ:
STA:
58. ANS:
3.5
OBJ:
TOP:
12-1.2 Using Multiple Tangents
12-1 Example 5
10-7 Areas of Circles and Sectors
10-7.1 Finding Areas of Circles and Parts of Circles
NM 3.D.3
TOP:
10-7 Example 3
REF:
12-4 Angle Measures and Segment Lengths
OBJ:
12-4.2 Finding Segment Lengths
STA:
TOP:
12-4 Example 3
59. ANS:
4.3 mm
NM 3.A | NM 3.A.7b
REF:
11-3 Surface Areas of Pyramids and Cones
OBJ:
11-3.1 Finding Surface Area of a Pyramid
STA:
NM 3.A.4 | NM 3.D.3
TOP:
60. ANS:
x = 6, y = 84, z = 10
11-3 Example 2
REF:
OBJ:
STA:
61. ANS:
6-4 Special Parallelograms
6-4.1 Diagonals of Rhombuses and Rectangles
NM 3.A | NM 3.A.7a | NM 3.A.7c
TOP:
6-4 Example 1
11-3 Surface Areas of Pyramids and Cones
11-3.1 Finding Surface Area of a Pyramid
NM 3.A.4 | NM 3.D.3
TOP:
11-3 Example 1
85 ft 2
REF:
OBJ:
STA:
62. ANS:
70
REF:
STA:
6-5 Trapezoids and Kites
NM 3.A | NM 3.A.7a | NM 3.A.7c
OBJ:
9
6-5.1 Properties of Trapezoids and Kites
ID: A
63. ANS:
x = 9, y =
5
2
REF:
OBJ:
STA:
64. ANS:
44
6-3 Proving That a Quadrilateral is a Parallelogram
6-3.1 Is the Quadrilateral a Parallelogram?
NM 3.A | NM 3.A.7a | NM 3.A.7c
REF:
OBJ:
STA:
65. ANS:
70
12-3 Inscribed Angles
12-3.1 Finding the Measure of an Inscribed Angle
NM 3.A | NM 3.A.7b
TOP:
12-3 Example 2
REF:
12-3 Inscribed Angles
OBJ:
12-3.2 The Angle Formed by a Tangent and a Chord
STA:
NM 3.A | NM 3.A.7b
TOP:
12-3 Example 3
66. ANS:
60 cm; 30 cm; 23.3π cm
REF:
STA:
67. ANS:
10-6 Circles and Arcs
NM 3.A | NM 3.D.3
OBJ:
TOP:
10-6.2 Circumference and Arc Length
10-6 Example 4
50 3
REF:
10-2 Areas of Trapezoids, Rhombuses, and Kites
OBJ:
10-2.2 Finding Areas of Rhombuses and Kites
STA:
NM 3.A.1 | NM 3.D.3
TOP:
68. ANS:
center (–9, –5); r = 8
10-2 Example 4
REF:
12-5 Circles in the Coordinate Plane
OBJ:
12-5.2 Finding the Center and Radius of a Circle
STA:
NM 3.B
TOP:
12-5 Example 3
69. ANS:
x = 3, y = 2
REF:
OBJ:
STA:
6-2 Properties of Parallelograms
6-2.2 Properties: Diagonals and Transversals
NM 3.A.3 | NM 3.A.7a
TOP:
10
6-2 Example 3
ID: A
70. ANS:
57
REF:
12-3 Inscribed Angles
OBJ:
12-3.1 Finding the Measure of an Inscribed Angle
STA:
NM 3.A | NM 3.A.7b
TOP:
71. ANS:
pentagon
REF:
STA:
72. ANS:
square
12-3 Example 2
11-1 Space Figures and Cross Sections
OBJ:
NM 3.A
TOP:
11-1 Example 4
11-1.2 Describing Cross Sections
REF:
11-1 Space Figures and Cross Sections
OBJ:
STA:
NM 3.A
TOP:
11-1 Example 4
73. ANS:
(m + q + p, 2n)
11-1.2 Describing Cross Sections
REF:
OBJ:
STA:
74. ANS:
6-7 Proofs Using Coordinate Geometry
6-7.1 Building Proofs in the Coordinate Plane
NM 3.B | NM 3.A.7a | NM 3.A.7c | NM 3.B.4
438 mm 3
REF:
STA:
75. ANS:
226
11-4 Volumes of Prisms and Cylinders
NM 3.A.4 | NM 3.D.3
OBJ:
TOP:
11-4.2 Finding Volume of a Cylinder
11-4 Example 4
REF:
12-2 Chords and Arcs
OBJ:
12-2.1 Using Congruent Chords, Arcs, and Central Angles
STA:
NM 3.A | NM 3.A.7b
TOP:
12-2 Example 1
76. ANS:
rotational
REF:
STA:
77. ANS:
32
REF:
OBJ:
TOP:
9-4 Symmetry OBJ:
NM 3.C
TOP:
9-4.1 Identifying types of symmetry in figures
9-4 Example 2
10-1 Areas of Parallelograms and Triangles
10-1.1 Area of a Parallelogram
STA:
10-1 Example 2
11
NM 3.A.1 | NM 3.D.3
ID: A
78. ANS:
x = 7, y = 4; 20, 35
REF:
STA:
TOP:
79. ANS:
6-1 Classifying Quadrilaterals
OBJ:
6-1.1 Classifying Special Quadrilaterals
NM 3.A.3 | NM 3.B | NM 3.B.2 | NM 3.B.4 | NM 2.D.5
6-1 Example 3
54π cm 2
REF:
OBJ:
TOP:
80. ANS:
11-3 Surface Areas of Pyramids and Cones
11-3.2 Finding Surface Area of a Cone
STA:
11-3 Example 3
NM 3.A.4 | NM 3.D.3
L.A. = 791.7 ft 2 ; S.A. = 1244.1 ft 2
REF:
OBJ:
81. ANS:
11-3 Surface Areas of Pyramids and Cones
11-3.2 Finding Surface Area of a Cone
STA:
NM 3.A.4 | NM 3.D.3
490π in. 3
REF:
11-4 Volumes of Prisms and Cylinders
STA:
NM 3.A.4 | NM 3.D.3
82. ANS:
(–3, –1)
REF:
STA:
TOP:
83. ANS:
7
OBJ:
TOP:
9-2 Reflections
OBJ:
NM 3.C | NM 3.C.1a | NM 3.C.1b | NM 3.C.2a
9-2 Example 1
REF:
12-1 Tangent Lines
OBJ:
12-1.1 Using the Radius-Tangent Relationship
STA:
NM 3.A | NM 3.D.4
TOP:
84. ANS:
(x – 6, y + 3)
REF:
STA:
9-1 Translations
NM 3.C | NM 3.C.1a | NM 3.C.2a
OBJ:
TOP:
12
11-4.2 Finding Volume of a Cylinder
11-4 Example 3
9-2.1 Finding reflection images
12-1 Example 3
9-1.2 Translations using vectors
9-1 Example 4
ID: A
85. ANS:
parallelogram
REF:
STA:
TOP:
86. ANS:
6-1 Classifying Quadrilaterals
OBJ:
6-1.1 Classifying Special Quadrilaterals
NM 3.A.3 | NM 3.B | NM 3.B.2 | NM 3.B.4 | NM 2.D.5
6-1 Example 2
(x + 6) 2 + (y + 8) 2 = 100
REF:
STA:
87. ANS:
12-5 Circles in the Coordinate Plane
OBJ:
NM 3.B
TOP:
12-5 Example 2
12-5.1 Writing an Equation of a Circle
(x – 2) 2 + (y – 7) 2 = 16
REF:
STA:
88. ANS:
163
12-5 Circles in the Coordinate Plane
OBJ:
NM 3.B
TOP:
12-5 Example 1
REF:
6-2 Properties of Parallelograms
STA:
NM 3.A.3 | NM 3.A.7a
89. ANS:
KL = 7.6, FG = 5.1
REF:
OBJ:
STA:
90. ANS:
OBJ:
TOP:
6-2 Properties of Parallelograms
6-2.2 Properties: Diagonals and Transversals
NM 3.A.3 | NM 3.A.7a
TOP:
12-5.1 Writing an Equation of a Circle
6-2.1 Properties: Sides and Angles
6-2 Example 2
6-2 Example 4
36 3
REF:
10-3 Areas of Regular Polygons
STA:
NM 3.A.1 | NM 3.D.3
91. ANS:
36.72 lb
REF:
OBJ:
STA:
92. ANS:
129
REF:
STA:
OBJ:
TOP:
11-7 Areas and Volumes of Similar Solids
11-7.1 Finding Relationships in Area and Volume
NM 3.A.4 | NM 3.D.3
TOP:
6-2 Properties of Parallelograms
NM 3.A.3 | NM 3.A.7a
OBJ:
13
10-3.1 Areas of Regular Polygons
10-3 Example 3
11-7 Example 4
6-2.1 Properties: Sides and Angles
ID: A
93. ANS:
x = 5, NM = 20, OL = 20
REF:
6-2 Properties of Parallelograms
STA:
NM 3.A.3 | NM 3.A.7a
94. ANS:
arc AB; 115°
OBJ:
TOP:
6-2.1 Properties: Sides and Angles
6-2 Example 2
REF:
10-6 Circles and Arcs
STA:
NM 3.A | NM 3.D.3
95. ANS:
A′(−12,4), B′(16,− 12), C ′(8,12), D ′(−4,16)
OBJ:
TOP:
10-6.1 Central Angles and Arcs
10-6 Example 3
REF:
9-5 Dilations OBJ:
9-5.1 Locating dilation images
STA:
NM 3.C |NM 3.C.1a | NM 3.C.2a | NM 3.C.2b
TOP:
9-5 Example 3
96. ANS:
P′(2, − 4), Q ′(−2, − 5), R′(1, − 8)
REF:
9-2 Reflections
OBJ:
STA:
NM 3.C | NM 3.C.1a | NM 3.C.1b | NM 3.C.2a
TOP:
9-2 Example 1
97. ANS:
arc ADB; 310°
REF:
STA:
10-6 Circles and Arcs
NM 3.A | NM 3.D.3
OBJ:
TOP:
14
9-2.1 Finding reflection images
10-6.1 Central Angles and Arcs
10-6 Example 3
ID: A
98. ANS:
REF:
STA:
TOP:
99. ANS:
46
9-2 Reflections
OBJ:
NM 3.C | NM 3.C.1a | NM 3.C.1b | NM 3.C.2a
9-2 Example 3
REF:
12-1 Tangent Lines
STA:
NM 3.A | NM 3.D.4
100. ANS:
67°; 113°
REF:
STA:
6-5 Trapezoids and Kites
NM 3.A | NM 3.A.7a | NM 3.A.7c
15
9-2.1 Finding reflection images
OBJ:
TOP:
12-1.2 Using Multiple Tangents
12-1 Example 4
OBJ:
TOP:
6-5.1 Properties of Trapezoids and Kites
6-5 Example 2