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3rd benchmark review
____ 1. What is the sum of the angle measures of a 35-gon?
A. 5940 B. 6660 C. 6120 D. 6300
____ 2. What is the measure of one angle in a regular 30-gon?
A. 192 B. 84 C. 168 D. 5040
____ 3. Find the value of x. The diagram is not to scale.
148º
112º
(x)º
(3x + 10)º
A. 90 B. 45 C. 35 D. 145
____ 4. The sum of the measures of two exterior angles of a triangle is 264. What is the measure of the third exterior angle?A. 96 B. 84 C. 106 D. 86
____ 5. How many sides does a regular polygon have if each exterior angle measures 30?A. 15 sides B. 12 sides C. 14 sides D. 11 sides
____ 6. This jewelry box has the shape of a regular pentagon. It is packaged in a rectangular box as shown here. The box uses two pairs of congruent right triangles made of foam to fill its four corners. Find the measure of the foam angle marked.
xx
A. 54° B. 36° C. 18° D. 72°
____ 7. A nonregular hexagon has five exterior angle measures of 55, 58, 69, 57, and 55. What is the measure of the interior angle adjacent to the sixth exterior angle?A. 104 B. 66 C. 114 D. 124
____ 8. Find the values of the variables in the parallelogram. The diagram is not to scale.
x°y°
z°
9631
A. C. B. D.
____ 9. In the parallelogram, and Find The diagram is not to scale.J
LM
K
O
A. 110 B. 120 C. 78 D. 60
____ 10. ABCD is a parallelogram. If then The diagram is not to scale.
A B
D C
A. 57 B. 114 C. 133 D. 123
____ 11. For the parallelogram, if and find The diagram is not to scale.
3 4
2 1
A. 9 B. 16 C. 164 D. 174
____ 12. ABCD is a parallelogram. If then The diagram is not to scale.
A B
D C
A. 117 B. 127 C. 78 D. 63
____ 13. In parallelogram DEFG, DH = x + 2, HF = 2y, GH = 4x – 3, and HE = 5y + 1. Find the values of x and y. The diagram is not to scale.
D
FG
E
H
A. x = 8, y = 5 B. x = 5, y = 8 C. x = 4, y = 6 D. x = 6, y = 4
____ 14. Find AM in the parallelogram if PN =15 and AO = 6. The diagram is not to scale.
M N
P O
A
A. 12 B. 6 C. 15 D. 7.5
____ 15. LMNO is a parallelogram. If NM = x + 5 and OL = 2x + 3, find the value of x and then find NM and OL.
O N
L M
A. x = 4, NM = 9, OL = 9 C. x = 2, NM = 9, OL = 7B. x = 2, NM = 7, OL = 7 D. x = 4, NM = 7, OL = 9
____ 16. In the figure, the horizontal lines are parallel and Find JM. The diagram is not to scale.
9
M A
L B
K C
J D
A. 27 B. 36 C. 9 D. 18
____ 17. If find so that quadrilateral ABCD is a parallelogram. The diagram is not to scale.
A B
CD
A. 46 B. 92 C. 134 D. 268
____ 18. Find values of x and y for which ABCD must be a parallelogram. The diagram is not to scale.
A
CD
B
3x – 14
x + 2
4y – 7
y + 11
A. x = 8, y = 6 B. x = 6, y = 8 C. x = 8, y = 17 D. x = 8, y = 10
____ 19. If and find the values of x and y for which LMNO must be a parallelogram. The diagram is not to scale.
O N
L M
A.x = 4, y =
83
C.x = 4, y =
38
B.x = 11, y =
83
D.x = 11, y =
38
____ 20. Based on the information in the diagram, can you prove that the figure is a parallelogram? Explain.
A. Yes; the diagonals bisect each other.B. No; you cannot prove that the quadrilateral is a parallelogram.C. Yes; two opposite sides are both parallel and congruent.D. Yes; the diagonals are congruent.
____ 21. What is the most precise name for quadrilateral ABCD with vertices A(–5, 2), B(–3, 5), C(4, 5), and D(2, 2)?A. rectangle B. parallelogram C. quadrilateral D. rhombus
____ 22. In the rhombus, Find the value of each variable. The diagram is not to scale.
12
3
||
||
A. x = 12, y = 84, z = 6 C. x = 6, y = 84, z = 3B. x = 12, y = 174, z = 3 D. x = 6, y = 174, z = 6
____ 23. Find the measure of the numbered angles in the rhombus. The diagram is not to scale.
3
2
1
24º
A. C.B. D.
____ 24. DEFG is a rectangle. DF = 5x – 3 and EG = x + 5. Find the value of x and the length of each diagonal.A. x = 1, DF = 6, EG = 6 C. x = 2, DF = 6, EG = 6B. x = 2, DF = 7, EG = 12 D. x = 2, DF = 7, EG = 7
____ 25. In rectangle KLMN, KM = and LN = 64. Find the value of x.
K
MN
L
A. 5 C. 3B. 4 D. 40
____ 26. In quadrilateral ABCD, and . For what value of x is ABCD a rhombus?
A
CD
B
A. 3 C. 5B. 4 D. 6
____ 27. Find the values of a and b. The diagram is not to scale.
65° b°
109°a°
A. C. B. D.
____ 28. What is the value of x?
L M
A B
D C
A. 43 B. 35 C. 286 D. 39
____ 29. Find in the kite. The diagram is not to scale.
1
2317°
D B
A
C
| || || |
A. C.B. D.
____ 30. Is scalene, isosceles, or equilateral? The vertices are .A. cannot be determined C. isoscelesB. scalene D. equilateral
____ 31. A quadrilateral has vertices What special quadrilateral is formed by connecting the midpoints of the sides?A. kite C. trapezoidB. rectangle D. rhombus
____ 32. The vertices of the trapezoid are the origin along with A(4p, 4q), B(4r, 4q), and C(4s, 0). Find the midpoint of the midsegment of the trapezoid.
(0, 0)
A B
C x
y
A. (2r, 2q) C. (p + r + s, q)B. (p + r + s, 2q) D. (2p + 2s, 2q)
33. Find the measures of an interior angle and an exterior angle of a regular polygon with 6 sides.
____ 34. A model is made of a car. The car is 10 feet long and the model is 7 inches long. What is the ratio of the length of the car to the length of the model?A. 10 : 7 B. 7 : 120 C. 120 : 7 D. 7 : 10
____ 35. The Sears Tower in Chicago is 1450 feet high. A model of the tower is 24 inches tall. What is the ratio of the height of the model to the height of the actual Sears Tower?A. 1 : 725 B. 725 : 1 C. 12 : 725 D. 725 : 12
____ 36. Red and grey bricks were used to build a decorative wall. The was . There were 224 bricks used in all. How many red bricks were used?A. 32 C. 44.8B. 160 D. 64
____ 37. A salsa recipe uses green pepper, onion, and tomato in the extended ratio 1 : 3 : 8. How many cups of onion are needed to make 24 cups of salsa?A. 16 C. 3B. 6 D. 2
What is the solution of each proportion?
____ 38.A. 32 B. 128 C. 8 D. 16
____ 39.A. 24 B. 1
24C. 6 D. 2
3
____ 40.
A. –3 B. C. D. 3
____ 41.A. B. C. D.
____ 42. Given the proportion , what ratio completes the equivalent proportion ? A. C.
B. D.
____ 43. Figure . What are the pairs of congruent angles?
A. B. C. D.
____ 44.
A
B C
D
FE
4
55x
x
A. 1 C. 4B. 2 D. 20
____ 45. You want to draw an enlargement of a design that is printed on a card that is 5 in. by 6 in. You will be
drawing this design on an piece of paper that is in. by 11 in. What are the dimensions of the largest complete enlargement you can make?A. 12
3 in. 41
5 in.C.
1015 in.
B.41
5 in.
D. 123 in.
1015 in.
____ 46. You are reducing a map of dimensions 2 ft by 3 ft to fit to a piece of paper 8 in. by 10 in. What are the dimensions of the largest possible map that can fit on the page?A. C.
B. D.
____ 47. Are the triangles similar? How do you know?
84.6° 84.6°
30.4°
66°
A. yes, by SAS B. yes, by SSS C. yes, by AA D. no
State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you used.
____ 48.
A
B
C
5 5
8
O M
7.5
12
N
7.5
A. ; SSS C. ; AAB. ; SAS D. The triangles are not similar.
Which theorem or postulate proves the two triangles are similar?
____ 49.
20
19
76/5
16
Not drawn to scale.
)
)
A. SA Postulate C. SSS TheoremB. AA Postulate D. SAS Theorem
____ 50. Use the information in the diagram to determine the height of the tree to the nearest foot.
A. 80 ft B. 264 ft C. 60 ft D. 72 ft
____ 51. Michele wanted to measure the height of her school’s flagpole. She placed a mirror on the ground 48 feet from the flagpole, then walked backwards until she was able to see the top of the pole in the mirror. Her eyes were 5 feet above the ground and she was 12 feet from the mirror. Using similar triangles, find the height of the flagpole to the nearest tenth of a foot.
A. 20 ft B. 38.4 ft C. 55 ft D. 25 ft
____ 52. Campsites F and G are on opposite sides of a lake. A survey crew made the measurements shown on the diagram. What is the distance between the two campsites? The diagram is not to scale.
A. 42.3 m B. 47.4 m C. 73.8 m D. 82.8 m
What similarity statement can you write relating the three triangles in the diagram?
____ 53.
U V
W
T
A. C.B. D.
____ 54.KJ
M
L
A. C.B. D.
____ 55. From the similar triangles in the diagram, write a proportion using the ratio .
XW
V
Y
A. C.
B. D.
Find the geometric mean of the pair of numbers.
____ 56. 242 and 8A. 44 B. 49 C. 1872 D. 54
____ 57. 81 and 4A. 38 B. 23 C. 28 D. 18
What are the values of a and b?
____ 58.
)
)
10
8
6 a
b
A. C.
B. D.
____ 59.
))
29
21
20 a
b
A. C.
B. D.
____ 60.
)
)
16
a 4
b
A. a = 8, b = 8 5 C. a = 8, b = 4 5
B. a = 18, b = 4 5 D. a = 64, b = 80
____ 61. Find the length of the altitude drawn to the hypotenuse. The triangle is not drawn to scale.
5 16A. 4 5 B. 21 C. 80 D. 21
____ 62. Jason wants to walk the shortest distance to get from the parking lot to the beach.
ParkingLot
RefreshmentStand
30 m
40 m40 m
Beach
a. How far is the spot on the beach from the parking lot?b. How far will his place on the beach be from the refreshment stand?
A. 24 m; 32 m C. 34 m; 16 mB. 38 m; 12 m D. 24 m; 18 m
____ 63. Kristen lives directly east of the park. The football field is directly south of the park. The library sits on the line formed between Kristen’s home and the football field at the exact point where an altitude to the right triangle formed by her home, the park, and the football field could be drawn. The library is 2 miles from her home. The football field is 8 miles from the library.
Library
Football field
Park
2 miles
8
Home
miles
a. How far is library from the park?b. How far is the park from the football field?
A. 4 miles; 4 5 miles C. 5 miles; 9 miles
B. 10 miles; 3 2 miles D. 4 miles; 3 2 miles
____ 64. What is the value of x, given that ?
B
A
C
P Q7
35 40
x
A. 8 B. 11 C. 10 D. 16
____ 65. What is the value of x, given that ?
E C
A
D
B
5 7
11
x
A. B. C. D.
____ 66. What is the value of x?
3x 3x + 7
5x – 84x>
>
>
A. B. C. D.
____ 67. What is the value of x?
24 36
12x>
>
>
A. 8 B. 12 C. 6 D. 2
____ 68. bisects , LM = 18, NO = 4, and LN = 10. What is the value of x?
L
N
M
Ox
A. 7.2 B. 45 C. 5.43 D. 2.22
____ 69. An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 4 cm long. A second side of the triangle is 7.4 cm long. Find the longest and shortest possible lengths of the third side of the triangle. Round answers to the nearest tenth of a centimeter.A. 44.4 cm, 11.1 cm C. 11.1 cm, 4.9 cmB. 44.4 cm, 3.2 cm D. 24 cm, 4.9 cm
____ 70. Triangle ABC has side lengths 3, 4, and 5. Do the side lengths form a Pythagorean triple? Explain.A. No, they do not form a Pythagorean triple; although , the side lengths do not
meet the other requirements of a Pythagorean triple.B. No, they do not form a Pythagorean triple; .C. Yes, they form a Pythagorean triple; and 3, 4, and 5 are all nonzero whole
numbers.D. Yes; they can form a right triangle, so they form a Pythagorean triple.
Find the length of the missing side. Leave your answer in simplest radical form.
____ 71.
10 ft
14 ft
Not drawn to scale
A. 26 ft B. 206 ft C. 296 ft D. 2 74 ft
____ 72.
13 ft
10 ft
Not drawn to scale
A. 69 ft B. 269 ft C. 23 ft D. 3 ft
____ 73. Wayne used the diagram to compute the distance from Ferris, to Dunlap, to Butte. How much shorter is the distance directly from Ferris to Butte than the distance Wayne found?
20 mi
15 mi
Dunlap Butte
Ferris
A. 20 mi B. 25 mi C. 10 mi D. 35 mi
____ 74. A grid shows the positions of a subway stop and your house. The subway stop is located at (–7, 8) and your house is located at (6, 4). What is the distance, to the nearest unit, between your house and the subway stop?A. 19 B. 14 C. 24 D. 11
____ 75. The figure is drawn on centimeter grid paper. Find the perimeter of the shaded figure to the nearest tenth.
A. 17.6 cm B. 10.8 cm C. 15.6 cm D. 18.0 cm
____ 76. A triangle has sides of lengths 27, 79, and 84. Is it a right triangle? Explain.A. yes; C. yes; B. no; D. no;
____ 77. A triangle has sides of lengths 24, 143, and 145. Is it a right triangle? Explain.A. yes; C. yes; B. no; D. no;
____ 78. A triangle has side lengths of 12 cm, 35 cm, and 37 cm. Classify it as acute, obtuse, or right.A. obtuse B. right C. acute
____ 79. A triangle has side lengths of 23 in, 6 in, and 28 in. Classify it as acute, obtuse, or right.A. obtuse B. right C. acute
____ 80. Find the length of the hypotenuse.
45°
3 2
A. 12 B. 6 C. 5 D. 18
____ 81. In triangle ABC, is a right angle and 45. Find BC. If your answer is not an integer, leave it in simplest radical form.
AB
C
10 ft
Not drawn to scale
A. 10 ft B. 20 ft C. 10 ft D. 20 ft
____ 82. Find the length of the leg. If your answer is not an integer, leave it in simplest radical form.
45°
24
Not drawn to scale
A. 2 3 B. 288 C. 24 D. 12 2
____ 83. Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tenth.
8
x
y
45°
Not drawn to scale
A. x = 5.7, y = 6.9 B. x = 6.9, y = 5.7 C. x = 11.3, y = 8 D. x = 8, y = 11.3
____ 84. Find the value of the variable. If your answer is not an integer, leave it in simplest radical form.
45°
5
x
Not drawn to scale
A. B. C. D.
____ 85. The area of a square garden is 98 m2. How long is the diagonal?A. 49 m B. 14 m C. 7 6 m D. 196 m
____ 86. Find the value of x and y rounded to the nearest tenth.
x 34
30°45°y
A. x = 48.1, y = 46.4 C. x = 24.0, y = 139.3
B. x = 48.1, y = 139.3 D. x = 24.0, y = 46.4
____ 87. The length of the hypotenuse of a 30°–60°–90° triangle is 9. Find the perimeter.A. 27 + 9 C. 9
2 + 272
B. 272 +
92
D. 9 + 27
Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.
____ 88.
5 x
60°10
Not drawn to scale
A. B. 12
C. D. 2
____ 89.
30°
y
x
11
Not drawn to scale
A. x = , y = 11 C. x = 22, y = B. x = , y = 22 D. x = 11, y =
____ 90. A sign is in the shape of a rhombus with a 60° angle and sides of 12 cm long. Find its area to the nearest tenth.A. 62.4 cm2 B. 5.2 cm2 C. 124.7 cm2 D. 10.4 cm2
____ 91. Write the ratios for sin X and cos X.
Z Y
X
512
119
A. C.
B. D.
____ 92. Write the ratios for sin A and cos A.
C B
A
10
24
26
Not drawn to scale
A. C.
B. D.
Find the value of x. Round to the nearest tenth.
____ 93.
x
12
Not drawn to scale
A. 14.5 B. 10.7 C. 10.2 D. 14.2
____ 94.
10
x
Not drawn to scale
A. 12.8 B. 8.1 C. 8.2 D. 12.4
____ 95.
19 x
Not drawn to scale
A. 55.6 B. 55.8 C. 6.7 D. 6.5
____ 96.
x 15
Not drawn to scale
A. 6.2 B. 38.4 C. 5.9 D. 38.5
____ 97. Find the value of w, then x. Round lengths of segments to the nearest tenth.
w x
12
A. w = 13.3, x = 10.2 C. w = 13.3, x = 23.6B. w = 10.8, x = 6.1 D. w = 10.8, x = 16.9
Find the value of x. Round to the nearest degree.
____ 98.
x11
20
Not drawn to scale
A. 60 B. 57 C. 29 D. 33
____ 99.
15
12
x
Not drawn to scale
A. 53 B. 37 C. 49 D. 39
Find the value of x to the nearest degree.
____ 100.
7
16
x
Not drawn to scale
A. 24 B. 66 C. 69 D. 58
____ 101.
x
3
58
A. 67 B. 23 C. 83 D. 53
____ 102. Find the value of w and then x. Round lengths to the nearest tenth and angle measures to the nearest degree.
10
w
11
x
A. w = 7.7, x = 44 C. w = 7.7, x = 54B. w = 6.4, x = 54 D. w = 6.4, x = 44
____ 103. To approach the runway, a pilot of a small plane must begin a 10 descent starting from a height of 1983 feet above the ground. To the nearest tenth of a mile, how many miles from the runway is the airplane at the start of this approach?
x1983 ft
Not drawn to scale
A. 2.2 mi B. 0.4 mi C. 11,419.6 mi D. 2.1 mi
Use the Law of Sines to find the missing side of the triangle.
____ 104. Find the measure of given = 55°, = 44°, and b = 68.
A. 45.22 C. 88.19B. 96.68 D. 81.12
____ 105. Find the measure of b, given = 38°, = 74°, and a = 31.
A. 19.9 B. 18.3 C. 37.8 D. 48.4
Use the Law of Sines to find the missing angle of the triangle.
____ 106. Find to the nearest tenth.
B A
C
38°
50
74
A. 24.6 B. 76.3 C. D. 155.4
____ 107. Find to the nearest tenth if , , and .
A. 27.7 B. 112.1 C. 152.3 D. 67.9
____ 108. Find given that 83, 44, and 31.
A. B. 15.8 C. 72.7 D. 164.2
Use the Law of Cosines to find the missing angle.
____ 109. In , g = 8 ft, h = 13 ft, and = 72°. Find . Round your answer to the nearest tenth.A. 26.2° B. 35.9° C. 72.1° D. 32.5°
____ 110. In , g = 5 ft, h = 22 ft, and = 50°. Find the measure of f. Round your answer to the nearest whole number.A. 18 B. 13 C. 19 D. 21
____ 111. Find the measure of .
B A
C
a
11
8
32.2°
A. B. C. D.
____ 112. Find to the nearest tenth of a degree.
B A
C
23
41
27
A. 31.8 B. 48.0 C. 86.7 D. 38.3
____ 113. Find , given a = 11, b = 12, and c = 17.
A. = 49.9°B. = 40.1°
C. = 45.3°D. = 44.7°
____ 114. In , j = 12 cm, k = 9 cm, and l = 9.75 cm. Find . A. 47° B. 59° C. 40° D. 79°
Use the Law of Cosines to solve the problem.
____ 115. On a baseball field, the pitcher’s mound is 60.5 feet from home plate. During practice, a batter hits a ball 216 feet deep. The path of the ball makes a 34° angle with the line connecting the pitcher and the catcher, to the right of the pitcher’s mound. An outfielder catches the ball and throws it to the pitcher. How far does the outfielder throw the ball?
60.5 ft
216 ft?
34
A. 207.4 ft B. 224.3 ft C. 169.3 ft D. 198.7 ft
116. A right triangle has a hypotenuse length of 60, and one side length of 24. Do the side lengths form a Pythagorean triple? Explain.
117. The diagram shows the locations of John and Mark in relationship to the top of a tall building labeled A.
Mark Johnground level
A
1 2
3
4 5
a. Describe as it relates to the situation.b. Describe as it relates to the situation.
118. A plane is located at C on the diagram. There are two towers located at A and B. The distance between the towers is 7600 feet, and the angles of elevation are given.
A
DTower 1 Tower 2
C
16 24o oB
7600 ft drawing not to scale
a. Find BC, the distance from Tower 2 to the plane, to the nearest foot.b. Find CD, the height of the plane from the ground, to the nearest foot.
119. From the top of a 210-foot lighthouse located at sea level, the keeper spots a boat at an angle of depression of 23 .a. Draw a sketch to represent this situation.b. Use the angle of depression to find the distance from the base of the lighthouse to the
boat. Explain your steps in finding the distance.c. Use another angle to verify the distance you found in part (b). Explain your steps in
finding the distance and tell why your method works.d. Use the Pythagorean Theorem to find the shortest distance from the top of the
lighthouse to the boat. Explain your steps in finding this distance.
For each triangle shown below, determine whether you would use the Law of Sines or Law of Cosines to find angle x. Then find angle x to the nearest tenth.
____ 120.
B A
C
47
78
73
x (
A. 36.1by The Law of Sines C. 66.2by TheLaw of SinesB. 66.2by The Law of Cosines D. 36.1by The Law of Cosines
____ 121. The perimeter of
B A
C
b+10
3b-4
2b+1
(x
A. by The Law of Sines C. by The Law of SinesB. by The Law of Cosines D. 47.0by The Law of Cosines
____ 122. Which graph shows ?
C
A
B 4 8–4–8 x
4
8
–4
–8
y
A.
4 8–4–8 x
4
8
–4
–8
y C.
4 8–4–8 x
4
8
–4
–8
y
B.
4 8–4–8 x
4
8
–4
–8
y D.
4 8–4–8 x
4
8
–4
–8
y
Use the diagram.
A
B
C
D
E
4 8–4–8 x
4
8
–4
–8
y
____ 123. Find the image of C under the translation described by the translation rule .A. B B. E C. A D. D
____ 124. Find the translation rule that describes the translation B E.A. C.B. D.
____ 125. The vertices of a rectangle are R(–5, –5), S(–1, –5), T(–1, 1), and U(–5, 1). A translation maps R to the point (–4, 2). Find the translation rule and the image of U.A.B.C.D.
____ 126. Describe in words the translation of X represented by the translation rule .A. 2 units to the left and 8 units upB. 2 units to the right and 8 units downC. 8 units to the left and 2 units downD. 2 units to the right and 8 units up
____ 127. Use a translation rule to describe the translation of X that is 5 units to the left and 7 units up.A. C.B. D.
____ 128. Jessica was sitting in row 9, seat 3 at a soccer game when she discovered her ticket was for row 1, seat 1. Write a rule to describe the translation needed to put her in the proper seat.A. C.B. D.
____ 129. Use a translation rule to describe the translation of P that is 6 units to the left and 6 units down.A. C.B. D.
____ 130. What is a rule that describes the translation ?
AB
C
D
A'B'
C'
D'
8–8 x
8
–8
y
A. C.B. D.
____ 131. Use a translation rule to describe the translation of that is 8 units to the right and 2 units down.A. C.B. D.
____ 132. What translation rule can be used to describe the result of the composition of
and ?
A. C.B. D.
____ 133. Write a rule in function notation to describe the transformation that is a reflection across the y-axis.A. C.B. D.
____ 134. The vertices of a triangle are P(–8, 6), Q(1, –3), and R(–6, –3). Name the vertices of .A. C.B. D.
____ 135. The vertices of a triangle are P(–2, –4), Q(2, –5), and R(–1, –8). Name the vertices of .A. C.B. D.
____ 136. Write a rule in function notation to describe the transformation that is a reflection across the x-axis.A. C.B. D.
____ 137. Find the image of P(–2, –1) after two reflections; first , and then .A. (–2, –1) B. (–1, –6) C. (4, –9) D. (1, –5)
The hexagon GIKMPR and FJN are regular. The dashed line segments form 30° angles.
F
L
G
M
H
N
IP
J
Q
K
R
O
____ 138. Find .A. B. C. D.
____ 139. A carnival ride is drawn on a coordinate plane so that the first car is located at the point . What are the coordinates of the first car after a rotation of 270° about the origin?
A. B. C. D.
140. Draw the image of the figure for a 52° clockwise rotation about C.
____ 141. Name the translation image of equivalent to .
A. B. C. D.
____ 142. The dashed-lined figure is a dilation image of EFGH. Is an enlargement or a reduction? What is the scale factor n of the dilation?
E F
GH4 8–4–8 x
4
8
–4
–8
y
A. n = 6; enlargement C. n = 3; reductionB. n = 3; enlargement D.
n = ; reduction
____ 143. The dashed-lined figure is a dilation image of with center of dilation P (not shown). Is an enlargement, or a reduction? What is the scale factor n of the dilation?
AB
C4 8–4–8 x
4
8
–4
–8
y
A. reduction; n = 2
B. reduction;
n =
C. enlargement; n = 2
D. reduction;
n =
____ 144. A microscope shows you an image of an object that is 140 times the object’s actual size. So the scale factor of the enlargement is 140. An insect has a body length of 6 millimeters. What is the body length of the insect under the microscope?A. 840 centimeters C. 84 millimetersB. 8,400 millimeters D. 840 millimeters
____ 145. What composition of rigid motions and a dilation maps EFGH to the dashed figure?
E F
GH
4 8 12–4 x
2
4
6
–2
–4
–6
y
A. C.B. D.
3rd benchmark reviewAnswer Section
1. ANS: A PTS: 1 DIF: L3REF: 6-1 The Polygon Angle-Sum TheoremsOBJ: 6-1.1 To find the sum of the measures of the interior angles of a polygonNAT: CC G.SRT.5| M.1.d| G.3.f TOP: 6-1 Problem 1 Finding a Polygon Angle SumKEY: Polygon Angle-Sum Theorem
2. ANS: C PTS: 1 DIF: L3REF: 6-1 The Polygon Angle-Sum TheoremsOBJ: 6-1.1 To find the sum of the measures of the interior angles of a polygonNAT: CC G.SRT.5| M.1.d| G.3.f TOP: 6-1 Problem 2 Using the Polygon Angle-SumKEY: Corollary to the Polygon Angle-Sum Theorem | regular polygon
3. ANS: B PTS: 1 DIF: L4REF: 6-1 The Polygon Angle-Sum TheoremsOBJ: 6-1.1 To find the sum of the measures of the interior angles of a polygonNAT: CC G.SRT.5| M.1.d| G.3.f TOP: 6-1 Problem 3 Using the Polygon Angle-Sum TheoremKEY: Polygon Angle-Sum Theorem
4. ANS: A PTS: 1 DIF: L3REF: 6-1 The Polygon Angle-Sum TheoremsOBJ: 6-1.2 To find the sum of the measures of the exterior angles of a polygonNAT: CC G.SRT.5| M.1.d| G.3.f TOP: 6-1 Problem 4 Finding an Exterior Angle MeasureKEY: exterior angle | Polygon Angle-Sum Theorem
5. ANS: B PTS: 1 DIF: L3REF: 6-1 The Polygon Angle-Sum TheoremsOBJ: 6-1.2 To find the sum of the measures of the exterior angles of a polygonNAT: CC G.SRT.5| M.1.d| G.3.f TOP: 6-1 Problem 4 Finding an Exterior Angle MeasureKEY: regular polygon
6. ANS: D PTS: 1 DIF: L4REF: 6-1 The Polygon Angle-Sum TheoremsOBJ: 6-1.2 To find the sum of the measures of the exterior angles of a polygonNAT: CC G.SRT.5| M.1.d| G.3.f TOP: 6-1 Problem 4 Finding an Exterior Angle MeasureKEY: regular polygon | Polygon Angle-Sum Theorem
7. ANS: C PTS: 1 DIF: L4REF: 6-1 The Polygon Angle-Sum TheoremsOBJ: 6-1.2 To find the sum of the measures of the exterior angles of a polygonNAT: CC G.SRT.5| M.1.d| G.3.f TOP: 6-1 Problem 4 Finding an Exterior Angle MeasureKEY: exterior angle
8. ANS: C PTS: 1 DIF: L4 REF: 6-2 Properties of ParallelogramsOBJ: 6-2.1 To use relationships among sides and angles of parallelogramsNAT: CC G.CO.11| CC G.SRT.5| G.1.c| G.3.fTOP: 6-2 Problem 1 Using Consecutive AnglesKEY: parallelogram | opposite angles | consecutive angles | transversal
9. ANS: B PTS: 1 DIF: L4 REF: 6-2 Properties of ParallelogramsOBJ: 6-2.1 To use relationships among sides and angles of parallelogramsNAT: CC G.CO.11| CC G.SRT.5| G.1.c| G.3.fTOP: 6-2 Problem 1 Using Consecutive Angles KEY: parallelogram | opposite angles
10. ANS: D PTS: 1 DIF: L2 REF: 6-2 Properties of ParallelogramsOBJ: 6-2.1 To use relationships among sides and angles of parallelogramsNAT: CC G.CO.11| CC G.SRT.5| G.1.c| G.3.f
TOP: 6-2 Problem 1 Using Consecutive Angles KEY: parallelogram | consecutive angles11. ANS: C PTS: 1 DIF: L4 REF: 6-2 Properties of Parallelograms
OBJ: 6-2.1 To use relationships among sides and angles of parallelogramsNAT: CC G.CO.11| CC G.SRT.5| G.1.c| G.3.fTOP: 6-2 Problem 1 Using Consecutive AnglesKEY: algebra | parallelogram | opposite angles | consecutive angles
12. ANS: D PTS: 1 DIF: L2 REF: 6-2 Properties of ParallelogramsOBJ: 6-2.1 To use relationships among sides and angles of parallelogramsNAT: CC G.CO.11| CC G.SRT.5| G.1.c| G.3.fTOP: 6-2 Problem 1 Using Consecutive Angles KEY: parallelogram | opposite angles
13. ANS: D PTS: 1 DIF: L3 REF: 6-2 Properties of ParallelogramsOBJ: 6-2.2 To use relationships among diagonals of parallelogramsNAT: CC G.CO.11| CC G.SRT.5| G.1.c| G.3.fTOP: 6-2 Problem 3 Using Algebra to Find LengthsKEY: transversal | diagonal | parallelogram | algebra
14. ANS: B PTS: 1 DIF: L2 REF: 6-2 Properties of ParallelogramsOBJ: 6-2.2 To use relationships among diagonals of parallelogramsNAT: CC G.CO.11| CC G.SRT.5| G.1.c| G.3.fTOP: 6-2 Problem 3 Using Algebra to Find Lengths KEY: parallelogram | diagonal
15. ANS: B PTS: 1 DIF: L2 REF: 6-2 Properties of ParallelogramsOBJ: 6-2.1 To use relationships among sides and angles of parallelogramsNAT: CC G.CO.11| CC G.SRT.5| G.1.c| G.3.fTOP: 6-2 Problem 3 Using Algebra to Find Lengths KEY: parallelogram | algebra
16. ANS: A PTS: 1 DIF: L3 REF: 6-2 Properties of ParallelogramsOBJ: 6-2.1 To use relationships among sides and angles of parallelogramsNAT: CC G.CO.11| CC G.SRT.5| G.1.c| G.3.fTOP: 6-2 Problem 4 Using Parallel Lines and Transversals KEY: transversal | parallel lines
17. ANS: C PTS: 1 DIF: L2REF: 6-3 Proving That a Quadrilateral Is a ParallelogramOBJ: 6-3.1 To determine whether a quadrilateral is a parallelogramNAT: CC G.CO.11| CC G.SRT.5| G.1.c| G.3.fTOP: 6-3 Problem 1 Finding Values for Parallelograms KEY: opposite angles | parallelogram
18. ANS: A PTS: 1 DIF: L3REF: 6-3 Proving That a Quadrilateral Is a ParallelogramOBJ: 6-3.1 To determine whether a quadrilateral is a parallelogramNAT: CC G.CO.11| CC G.SRT.5| G.1.c| G.3.fTOP: 6-3 Problem 1 Finding Values for Parallelograms KEY: algebra | parallelogram
19. ANS: B PTS: 1 DIF: L2REF: 6-3 Proving That a Quadrilateral Is a ParallelogramOBJ: 6-3.1 To determine whether a quadrilateral is a parallelogramNAT: CC G.CO.11| CC G.SRT.5| G.1.c| G.3.fTOP: 6-3 Problem 1 Finding Values for ParallelogramsKEY: algebra | parallelogram | opposite sides
20. ANS: A PTS: 1 DIF: L2REF: 6-3 Proving That a Quadrilateral Is a ParallelogramOBJ: 6-3.1 To determine whether a quadrilateral is a parallelogramNAT: CC G.CO.11| CC G.SRT.5| G.1.c| G.3.fTOP: 6-3 Problem 2 Deciding Whether a Quadrilateral Is a ParallelogramKEY: opposite angles | parallelogram
21. ANS: B PTS: 1 DIF: L4
REF: 6-4 Properties of Rhombuses, Rectangles, and SquaresOBJ: 6-4.1 To define and classify special types of parallelogramsNAT: CC G.CO.11| CC G.SRT.5| G.1.c| G.3.fTOP: 6-4 Problem 1 Classifying Special ParallelogramsKEY: parallelogram | quadrilateral | special quadrilaterals | rectangle | square
22. ANS: C PTS: 1 DIF: L4REF: 6-4 Properties of Rhombuses, Rectangles, and SquaresOBJ: 6-4.2 To use properties of diagonals of rhombuses and rectanglesNAT: CC G.CO.11| CC G.SRT.5| G.1.c| G.3.fTOP: 6-4 Problem 2 Finding Angle Measures KEY: algebra | diagonal | rhombus
23. ANS: D PTS: 1 DIF: L3REF: 6-4 Properties of Rhombuses, Rectangles, and SquaresOBJ: 6-4.2 To use properties of diagonals of rhombuses and rectanglesNAT: CC G.CO.11| CC G.SRT.5| G.1.c| G.3.fTOP: 6-4 Problem 2 Finding Angle Measures KEY: diagonal | rhombus
24. ANS: D PTS: 1 DIF: L3REF: 6-4 Properties of Rhombuses, Rectangles, and SquaresOBJ: 6-4.2 To use properties of diagonals of rhombuses and rectanglesNAT: CC G.CO.11| CC G.SRT.5| G.1.c| G.3.fTOP: 6-4 Problem 3 Finding Diagonal Length KEY: rectangle | algebra | diagonal
25. ANS: B PTS: 1 DIF: L2REF: 6-4 Properties of Rhombuses, Rectangles, and SquaresOBJ: 6-4.2 To use properties of diagonals of rhombuses and rectanglesNAT: CC G.CO.11| CC G.SRT.5| G.1.c| G.3.fTOP: 6-4 Problem 3 Finding Diagonal Length KEY: rectangle | algebra | diagonal
26. ANS: B PTS: 1 DIF: L3REF: 6-5 Conditions for Rhombuses, Rectangles, and SquaresOBJ: 6-5.1 To determine whether a parallelogram is a rhombus or rectangleNAT: CC G.CO.11| CC G.SRT.5| G.1.c| G.3.fTOP: 6-5 Problem 2 Using Properties of Special ParallelogramsKEY: parallelogram | rhombus | reasoning
27. ANS: A PTS: 1 DIF: L2 REF: 6-6 Trapezoids and KitesOBJ: 6-6.1 To verify and use properties of trapezoids and kites NAT: CC G.SRT.5| G.1.c| G.3.fTOP: 6-6 Problem 1 Finding Angle Measures in Trapezoids KEY: trapezoid | base angles
28. ANS: B PTS: 1 DIF: L3 REF: 6-6 Trapezoids and KitesOBJ: 6-6.1 To verify and use properties of trapezoids and kites NAT: CC G.SRT.5| G.1.c| G.3.fTOP: 6-6 Problem 3 Using the Midsegment of a TrapezoidKEY: trapezoid | base angles | midsegment of a trapezoid
29. ANS: A PTS: 1 DIF: L3 REF: 6-6 Trapezoids and KitesOBJ: 6-6.1 To verify and use properties of trapezoids and kites NAT: CC G.SRT.5| G.1.c| G.3.fTOP: 6-6 Problem 4 Finding Angle Measures in Kites KEY: kite | diagonal
30. ANS: C PTS: 1 DIF: L2REF: 6-7 Polygons in the Coordinate PlaneOBJ: 6-7.1 To classify polygons in the coordinate plane NAT: CC G.GPE.7| G.3.fTOP: 6-7 Problem 1 Classifying a TriangleKEY: triangle | distance formula | isosceles | scalene
31. ANS: D PTS: 1 DIF: L3REF: 6-7 Polygons in the Coordinate PlaneOBJ: 6-7.1 To classify polygons in the coordinate plane NAT: CC G.GPE.7| G.3.fTOP: 6-7 Problem 3 Classifying a Quadrilateral KEY: midpoint | kite | rectangle
32. ANS: B PTS: 1 DIF: L3 REF: 6-8 Applying Coordinate GeometryOBJ: 6-8.1 To name coordinates of special figures by using their propertiesNAT: CC G.GPE.4| G.3.f TOP: 6-8 Problem 2 Using Variable CoordinatesKEY: algebra | coordinate plane | isosceles trapezoid | midsegment
33. ANS:m (interior) = 120m (exterior) = 60
PTS: 1 DIF: L2 REF: 6-1 The Polygon Angle-Sum TheoremsOBJ: 6-1.2 To find the sum of the measures of the exterior angles of a polygonNAT: CC G.SRT.5| M.1.d| G.3.f TOP: 6-1 Problem 4 Finding an Exterior Angle MeasureKEY: Polygon Exterior Angle-Sum Theorem | exterior angle | interior angle | regular polygon
34. ANS: C PTS: 1 DIF: L3 REF: 7-1 Ratios and ProportionsOBJ: 7-1.1 To write ratios and solve proportions NAT: CC G.SRT.5| N.4.cTOP: 7-1 Problem 1 Writing a Ratio KEY: ratio | word problem
35. ANS: A PTS: 1 DIF: L3 REF: 7-1 Ratios and ProportionsOBJ: 7-1.1 To write ratios and solve proportions NAT: CC G.SRT.5| N.4.cTOP: 7-1 Problem 1 Writing a Ratio KEY: ratio | word problem
36. ANS: B PTS: 1 DIF: L3 REF: 7-1 Ratios and ProportionsOBJ: 7-1.1 To write ratios and solve proportions NAT: CC G.SRT.5| N.4.cTOP: 7-1 Problem 2 Dividing a Quantity into a Given Ratio KEY: ratio | word problem
37. ANS: B PTS: 1 DIF: L3 REF: 7-1 Ratios and ProportionsOBJ: 7-1.1 To write ratios and solve proportions NAT: CC G.SRT.5| N.4.cTOP: 7-1 Problem 3 Using an Extended RatioKEY: ratio | extended ratio | word problem
38. ANS: C PTS: 1 DIF: L3 REF: 7-1 Ratios and ProportionsOBJ: 7-1.1 To write ratios and solve proportions NAT: CC G.SRT.5| N.4.cTOP: 7-1 Problem 4 Solving a ProportionKEY: proportion | Cross-Product Property | extremes | means
39. ANS: A PTS: 1 DIF: L2 REF: 7-1 Ratios and ProportionsOBJ: 7-1.1 To write ratios and solve proportions NAT: CC G.SRT.5| N.4.cTOP: 7-1 Problem 4 Solving a ProportionKEY: proportion | Cross-Product Property | extremes | means
40. ANS: A PTS: 1 DIF: L4 REF: 7-1 Ratios and ProportionsOBJ: 7-1.1 To write ratios and solve proportions NAT: CC G.SRT.5| N.4.cTOP: 7-1 Problem 4 Solving a ProportionKEY: proportion | Cross-Product Property | extremes | means
41. ANS: D PTS: 1 DIF: L4 REF: 7-1 Ratios and ProportionsOBJ: 7-1.1 To write ratios and solve proportions NAT: CC G.SRT.5| N.4.cTOP: 7-1 Problem 4 Solving a ProportionKEY: proportion | Cross-Product Property | extremes | means
42. ANS: B PTS: 1 DIF: L2 REF: 7-1 Ratios and ProportionsOBJ: 7-1.1 To write ratios and solve proportions NAT: CC G.SRT.5| N.4.cTOP: 7-1 Problem 5 Writing Equivalent ProportionsKEY: proportion | Properties of Proportions | equivalent proportions
43. ANS: D PTS: 1 DIF: L3 REF: 7-2 Similar PolygonsOBJ: 7-2.1 To identify and apply similar polygonsNAT: CC G.SRT.5| M.1.b| M.2.f| M.3.a| G.2.e| G.3.eTOP: 7-2 Problem 1 Understanding Similarity KEY: similar polygons
44. ANS: B PTS: 1 DIF: L3 REF: 7-2 Similar PolygonsOBJ: 7-2.1 To identify and apply similar polygonsNAT: CC G.SRT.5| M.1.b| M.2.f| M.3.a| G.2.e| G.3.eTOP: 7-2 Problem 3 Using Similar PolygonsKEY: corresponding sides | proportion | similar polygons
45. ANS: C PTS: 1 DIF: L4 REF: 7-2 Similar PolygonsOBJ: 7-2.1 To identify and apply similar polygonsNAT: CC G.SRT.5| M.1.b| M.2.f| M.3.a| G.2.e| G.3.e TOP: 7-2 Problem 4 Using SimilarityKEY: similar polygons | word problem
46. ANS: A PTS: 1 DIF: L4 REF: 7-2 Similar PolygonsOBJ: 7-2.1 To identify and apply similar polygonsNAT: CC G.SRT.5| M.1.b| M.2.f| M.3.a| G.2.e| G.3.e TOP: 7-2 Problem 4 Using SimilarityKEY: similar polygons | word problem
47. ANS: D PTS: 1 DIF: L3 REF: 7-3 Proving Triangles SimilarOBJ: 7-3.1 To use the AA Postulate and the SAS and SSS theoremsNAT: CC G.SRT.5| CC G.GPE.5| G.2.e| G.3.e| G.5.eTOP: 7-3 Problem 1 Using the AA PostulateKEY: Angle-Angle Similarity Postulate | Side-Side-Side Similarity Theorem | Side-Angle-Side Similarity Theorem
48. ANS: A PTS: 1 DIF: L3 REF: 7-3 Proving Triangles SimilarOBJ: 7-3.1 To use the AA Postulate and the SAS and SSS theoremsNAT: CC G.SRT.5| CC G.GPE.5| G.2.e| G.3.e| G.5.eTOP: 7-3 Problem 2 Verifying Triangle SimilarityKEY: Side-Side-Side Similarity Theorem
49. ANS: B PTS: 1 DIF: L2 REF: 7-3 Proving Triangles SimilarOBJ: 7-3.1 To use the AA Postulate and the SAS and SSS theoremsNAT: CC G.SRT.5| CC G.GPE.5| G.2.e| G.3.e| G.5.eTOP: 7-3 Problem 3 Proving Triangles Similar KEY: Angle-Angle Similarity Postulate
50. ANS: A PTS: 1 DIF: L3 REF: 7-3 Proving Triangles SimilarOBJ: 7-3.2 To use similarity to find indirect measurementsNAT: CC G.SRT.5| CC G.GPE.5| G.2.e| G.3.e| G.5.eTOP: 7-3 Problem 4 Finding Lengths in Similar TrianglesKEY: Angle-Angle Similarity Postulate | word problem
51. ANS: A PTS: 1 DIF: L4 REF: 7-3 Proving Triangles SimilarOBJ: 7-3.2 To use similarity to find indirect measurementsNAT: CC G.SRT.5| CC G.GPE.5| G.2.e| G.3.e| G.5.eTOP: 7-3 Problem 4 Finding Lengths in Similar TrianglesKEY: Angle-Angle Similarity Postulate | word problem
52. ANS: A PTS: 1 DIF: L4 REF: 7-3 Proving Triangles SimilarOBJ: 7-3.2 To use similarity to find indirect measurementsNAT: CC G.SRT.5| CC G.GPE.5| G.2.e| G.3.e| G.5.eTOP: 7-3 Problem 4 Finding Lengths in Similar TrianglesKEY: Side-Angle-Side Similarity Theorem | word problem
53. ANS: A PTS: 1 DIF: L3 REF: 7-4 Similarity in Right TrianglesOBJ: 7-4.1 To find and use relationships in similar trianglesNAT: CC G.SRT.5| CC G.GPE.5| G.2.e| G.3.eTOP: 7-4 Problem 1 Identifying Similar Triangles KEY: similar triangles | altitude
54. ANS: A PTS: 1 DIF: L3 REF: 7-4 Similarity in Right TrianglesOBJ: 7-4.1 To find and use relationships in similar trianglesNAT: CC G.SRT.5| CC G.GPE.5| G.2.e| G.3.eTOP: 7-4 Problem 1 Identifying Similar Triangles KEY: similar triangles | altitude
55. ANS: C PTS: 1 DIF: L3 REF: 7-4 Similarity in Right TrianglesOBJ: 7-4.1 To find and use relationships in similar trianglesNAT: CC G.SRT.5| CC G.GPE.5| G.2.e| G.3.eTOP: 7-4 Problem 1 Identifying Similar TrianglesKEY: similar triangles | altitude | proportion
56. ANS: A PTS: 1 DIF: L3 REF: 7-4 Similarity in Right TrianglesOBJ: 7-4.1 To find and use relationships in similar trianglesNAT: CC G.SRT.5| CC G.GPE.5| G.2.e| G.3.eTOP: 7-4 Problem 2 Finding the Geometric Mean KEY: geometric mean | proportion
57. ANS: D PTS: 1 DIF: L2 REF: 7-4 Similarity in Right TrianglesOBJ: 7-4.1 To find and use relationships in similar trianglesNAT: CC G.SRT.5| CC G.GPE.5| G.2.e| G.3.eTOP: 7-4 Problem 2 Finding the Geometric Mean KEY: geometric mean | proportion
58. ANS: A PTS: 1 DIF: L3 REF: 7-4 Similarity in Right TrianglesOBJ: 7-4.1 To find and use relationships in similar trianglesNAT: CC G.SRT.5| CC G.GPE.5| G.2.e| G.3.e TOP: 7-4 Problem 3 Using the CorollariesKEY: corollaries of the geometric mean | proportion
59. ANS: A PTS: 1 DIF: L3 REF: 7-4 Similarity in Right TrianglesOBJ: 7-4.1 To find and use relationships in similar trianglesNAT: CC G.SRT.5| CC G.GPE.5| G.2.e| G.3.e TOP: 7-4 Problem 3 Using the CorollariesKEY: corollaries of the geometric mean | proportion
60. ANS: C PTS: 1 DIF: L3 REF: 7-4 Similarity in Right TrianglesOBJ: 7-4.1 To find and use relationships in similar trianglesNAT: CC G.SRT.5| CC G.GPE.5| G.2.e| G.3.e TOP: 7-4 Problem 3 Using the CorollariesKEY: corollaries of the geometric mean | proportion
61. ANS: A PTS: 1 DIF: L3 REF: 7-4 Similarity in Right TrianglesOBJ: 7-4.1 To find and use relationships in similar trianglesNAT: CC G.SRT.5| CC G.GPE.5| G.2.e| G.3.e TOP: 7-4 Problem 3 Using the CorollariesKEY: corollaries of the geometric mean | proportion
62. ANS: A PTS: 1 DIF: L4 REF: 7-4 Similarity in Right TrianglesOBJ: 7-4.1 To find and use relationships in similar trianglesNAT: CC G.SRT.5| CC G.GPE.5| G.2.e| G.3.e TOP: 7-4 Problem 4 Finding a DistanceKEY: corollaries of the geometric mean | multi-part question | word problem
63. ANS: A PTS: 1 DIF: L4 REF: 7-4 Similarity in Right TrianglesOBJ: 7-4.1 To find and use relationships in similar trianglesNAT: CC G.SRT.5| CC G.GPE.5| G.2.e| G.3.e TOP: 7-4 Problem 4 Finding a DistanceKEY: corollaries of the geometric mean | multi-part question | word problem
64. ANS: A PTS: 1 DIF: L2 REF: 7-5 Proportions in TrianglesOBJ: 7-5.1 To use the Side-Splitter theorem and the Triangles Angle-Bisector theoremNAT: CC G.SRT.4| N.4.c| M.3.a TOP: 7-5 Problem 1 Using the Side-Splitter TheoremKEY: Side-Splitter Theorem
65. ANS: A PTS: 1 DIF: L4 REF: 7-5 Proportions in TrianglesOBJ: 7-5.1 To use the Side-Splitter theorem and the Triangles Angle-Bisector theoremNAT: CC G.SRT.4| N.4.c| M.3.a TOP: 7-5 Problem 1 Using the Side-Splitter TheoremKEY: Side-Splitter Theorem
66. ANS: A PTS: 1 DIF: L4 REF: 7-5 Proportions in TrianglesOBJ: 7-5.1 To use the Side-Splitter theorem and the Triangles Angle-Bisector theoremNAT: CC G.SRT.4| N.4.c| M.3.a TOP: 7-5 Problem 2 Finding a LengthKEY: corollary of Side-Splitter Theorem
67. ANS: A PTS: 1 DIF: L2 REF: 7-5 Proportions in Triangles
OBJ: 7-5.1 To use the Side-Splitter theorem and the Triangles Angle-Bisector theoremNAT: CC G.SRT.4| N.4.c| M.3.a TOP: 7-5 Problem 2 Finding a LengthKEY: corollary of Side-Splitter Theorem
68. ANS: A PTS: 1 DIF: L3 REF: 7-5 Proportions in TrianglesOBJ: 7-5.1 To use the Side-Splitter theorem and the Triangles Angle-Bisector theoremNAT: CC G.SRT.4| N.4.c| M.3.aTOP: 7-5 Problem 3 Using the Triangle-Angle-Bisector TheoremKEY: Triangle-Angle-Bisector Theorem
69. ANS: C PTS: 1 DIF: L4 REF: 7-5 Proportions in TrianglesOBJ: 7-5.1 To use the Side-Splitter theorem and the Triangles Angle-Bisector theoremNAT: CC G.SRT.4| N.4.c| M.3.aTOP: 7-5 Problem 3 Using the Triangle-Angle-Bisector TheoremKEY: Triangle-Angle-Bisector Theorem
70. ANS: C PTS: 1 DIF: L3REF: 8-1 The Pythagorean Theorem and Its ConverseOBJ: 8-1.1 To use the Pythagorean theorem and its converseNAT: CC G.SRT.4| CC G.SRT.8| N.5.e| G.3.dTOP: 8-1 Problem 1 Finding the Length of the HypotenuseKEY: Pythagorean Theorem | leg | hypotenuse | Pythagorean triple
71. ANS: D PTS: 1 DIF: L3REF: 8-1 The Pythagorean Theorem and Its ConverseOBJ: 8-1.1 To use the Pythagorean theorem and its converseNAT: CC G.SRT.4| CC G.SRT.8| N.5.e| G.3.dTOP: 8-1 Problem 1 Finding the Length of the HypotenuseKEY: Pythagorean Theorem | leg | hypotenuse
72. ANS: A PTS: 1 DIF: L3REF: 8-1 The Pythagorean Theorem and Its ConverseOBJ: 8-1.1 To use the Pythagorean theorem and its converseNAT: CC G.SRT.4| CC G.SRT.8| N.5.e| G.3.dTOP: 8-1 Problem 2 Finding the Length of a LegKEY: Pythagorean Theorem | leg | hypotenuse
73. ANS: C PTS: 1 DIF: L3REF: 8-1 The Pythagorean Theorem and Its ConverseOBJ: 8-1.1 To use the Pythagorean theorem and its converseNAT: CC G.SRT.4| CC G.SRT.8| N.5.e| G.3.d TOP: 8-1 Problem 3 Finding DistanceKEY: Pythagorean Theorem | leg | hypotenuse | word problem | problem solving
74. ANS: B PTS: 1 DIF: L3REF: 8-1 The Pythagorean Theorem and Its ConverseOBJ: 8-1.1 To use the Pythagorean theorem and its converseNAT: CC G.SRT.4| CC G.SRT.8| N.5.e| G.3.d TOP: 8-1 Problem 3 Finding DistanceKEY: Pythagorean Theorem | leg | hypotenuse | word problem | problem solving
75. ANS: A PTS: 1 DIF: L4REF: 8-1 The Pythagorean Theorem and Its ConverseOBJ: 8-1.1 To use the Pythagorean theorem and its converseNAT: CC G.SRT.4| CC G.SRT.8| N.5.e| G.3.d TOP: 8-1 Problem 3 Finding DistanceKEY: Pythagorean Theorem | perimeter
76. ANS: D PTS: 1 DIF: L3REF: 8-1 The Pythagorean Theorem and Its ConverseOBJ: 8-1.1 To use the Pythagorean theorem and its converseNAT: CC G.SRT.4| CC G.SRT.8| N.5.e| G.3.d
TOP: 8-1 Problem 4 Identifying a Right TriangleKEY: Pythagorean Theorem | Pythagorean triple
77. ANS: A PTS: 1 DIF: L3REF: 8-1 The Pythagorean Theorem and Its ConverseOBJ: 8-1.1 To use the Pythagorean theorem and its converseNAT: CC G.SRT.4| CC G.SRT.8| N.5.e| G.3.dTOP: 8-1 Problem 4 Identifying a Right TriangleKEY: Pythagorean Theorem | Pythagorean triple
78. ANS: B PTS: 1 DIF: L3REF: 8-1 The Pythagorean Theorem and Its ConverseOBJ: 8-1.1 To use the Pythagorean theorem and its converseNAT: CC G.SRT.4| CC G.SRT.8| N.5.e| G.3.dTOP: 8-1 Problem 5 Classifying a TriangleKEY: right triangle | obtuse triangle | acute triangle
79. ANS: A PTS: 1 DIF: L3REF: 8-1 The Pythagorean Theorem and Its ConverseOBJ: 8-1.1 To use the Pythagorean theorem and its converseNAT: CC G.SRT.4| CC G.SRT.8| N.5.e| G.3.dTOP: 8-1 Problem 5 Classifying a TriangleKEY: right triangle | obtuse triangle | acute triangle
80. ANS: B PTS: 1 DIF: L3 REF: 8-2 Special Right TrianglesOBJ: 8-2.1 To use the properties of 45-45-90 and 30-60-90 trianglesNAT: CC G.SRT.8 TOP: 8-2 Problem 1 Finding the Length of the HypotenuseKEY: special right triangles | hypotenuse
81. ANS: A PTS: 1 DIF: L2 REF: 8-2 Special Right TrianglesOBJ: 8-2.1 To use the properties of 45-45-90 and 30-60-90 trianglesNAT: CC G.SRT.8 TOP: 8-2 Problem 1 Finding the Length of the HypotenuseKEY: special right triangles | hypotenuse | leg
82. ANS: D PTS: 1 DIF: L3 REF: 8-2 Special Right TrianglesOBJ: 8-2.1 To use the properties of 45-45-90 and 30-60-90 trianglesNAT: CC G.SRT.8 TOP: 8-2 Problem 2 Finding the Length of a LegKEY: special right triangles | hypotenuse | leg
83. ANS: C PTS: 1 DIF: L4 REF: 8-2 Special Right TrianglesOBJ: 8-2.1 To use the properties of 45-45-90 and 30-60-90 trianglesNAT: CC G.SRT.8 TOP: 8-2 Problem 2 Finding the Length of a LegKEY: special right triangles | hypotenuse | leg
84. ANS: A PTS: 1 DIF: L3 REF: 8-2 Special Right TrianglesOBJ: 8-2.1 To use the properties of 45-45-90 and 30-60-90 trianglesNAT: CC G.SRT.8 TOP: 8-2 Problem 2 Finding the Length of a LegKEY: special right triangles | hypotenuse | leg
85. ANS: B PTS: 1 DIF: L4 REF: 8-2 Special Right TrianglesOBJ: 8-2.1 To use the properties of 45-45-90 and 30-60-90 trianglesNAT: CC G.SRT.8 TOP: 8-2 Problem 3 Finding Distance KEY: special right triangles | diagonal
86. ANS: D PTS: 1 DIF: L3 REF: 8-2 Special Right TrianglesOBJ: 8-2.1 To use the properties of 45-45-90 and 30-60-90 trianglesNAT: CC G.SRT.8 TOP: 8-2 Problem 4 Using the Length of One SideKEY: special right triangles | leg | hypotenuse
87. ANS: B PTS: 1 DIF: L4 REF: 8-2 Special Right TrianglesOBJ: 8-2.1 To use the properties of 45-45-90 and 30-60-90 trianglesNAT: CC G.SRT.8 TOP: 8-2 Problem 4 Using the Length of One Side
KEY: special right triangles | perimeter | hypotenuse | leg88. ANS: A PTS: 1 DIF: L2 REF: 8-2 Special Right Triangles
OBJ: 8-2.1 To use the properties of 45-45-90 and 30-60-90 trianglesNAT: CC G.SRT.8 TOP: 8-2 Problem 4 Using the Length of One SideKEY: special right triangles | leg | hypotenuse
89. ANS: B PTS: 1 DIF: L3 REF: 8-2 Special Right TrianglesOBJ: 8-2.1 To use the properties of 45-45-90 and 30-60-90 trianglesNAT: CC G.SRT.8 TOP: 8-2 Problem 4 Using the Length of One SideKEY: special right triangles | leg | hypotenuse
90. ANS: C PTS: 1 DIF: L3 REF: 8-2 Special Right TrianglesOBJ: 8-2.1 To use the properties of 45-45-90 and 30-60-90 trianglesNAT: CC G.SRT.8 TOP: 8-2 Problem 5 Applying the 30?-60?-90? Triangle TheoremKEY: rhombus | word problem | problem solving
91. ANS: C PTS: 1 DIF: L3 REF: 8-3 TrigonometryOBJ: 8-3.1 To use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right triangles NAT: CC G.SRT.7| CC G.SRT.8| CC G.MG.1TOP: 8-3 Problem 1 Writing Trigonometric Ratios KEY: cosine | sine
92. ANS: C PTS: 1 DIF: L2 REF: 8-3 TrigonometryOBJ: 8-3.1 To use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right triangles NAT: CC G.SRT.7| CC G.SRT.8| CC G.MG.1TOP: 8-3 Problem 1 Writing Trigonometric Ratios KEY: sine | cosine
93. ANS: D PTS: 1 DIF: L3 REF: 8-3 TrigonometryOBJ: 8-3.1 To use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right triangles NAT: CC G.SRT.7| CC G.SRT.8| CC G.MG.1TOP: 8-3 Problem 2 Using a Trigonometric Ratio to Find DistanceKEY: cosine
94. ANS: B PTS: 1 DIF: L3 REF: 8-3 TrigonometryOBJ: 8-3.1 To use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right triangles NAT: CC G.SRT.7| CC G.SRT.8| CC G.MG.1TOP: 8-3 Problem 2 Using a Trigonometric Ratio to Find DistanceKEY: cosine
95. ANS: A PTS: 1 DIF: L3 REF: 8-3 TrigonometryOBJ: 8-3.1 To use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right triangles NAT: CC G.SRT.7| CC G.SRT.8| CC G.MG.1TOP: 8-3 Problem 2 Using a Trigonometric Ratio to Find DistanceKEY: sine
96. ANS: C PTS: 1 DIF: L3 REF: 8-3 TrigonometryOBJ: 8-3.1 To use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right triangles NAT: CC G.SRT.7| CC G.SRT.8| CC G.MG.1TOP: 8-3 Problem 2 Using a Trigonometric Ratio to Find DistanceKEY: sine
97. ANS: A PTS: 1 DIF: L4 REF: 8-3 TrigonometryOBJ: 8-3.1 To use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right triangles NAT: CC G.SRT.7| CC G.SRT.8| CC G.MG.1TOP: 8-3 Problem 2 Using a Trigonometric Ratio to Find DistanceKEY: tangent | problem solving
98. ANS: B PTS: 1 DIF: L3 REF: 8-3 TrigonometryOBJ: 8-3.1 To use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right triangles NAT: CC G.SRT.7| CC G.SRT.8| CC G.MG.1TOP: 8-3 Problem 3 Using Inverses KEY: cosine
99. ANS: A PTS: 1 DIF: L3 REF: 8-3 TrigonometryOBJ: 8-3.1 To use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right triangles NAT: CC G.SRT.7| CC G.SRT.8| CC G.MG.1TOP: 8-3 Problem 3 Using Inverses KEY: sine
100. ANS: B PTS: 1 DIF: L2 REF: 8-3 TrigonometryOBJ: 8-3.1 To use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right triangles NAT: CC G.SRT.7| CC G.SRT.8| CC G.MG.1TOP: 8-3 Problem 3 Using Inverses KEY: tangent
101. ANS: B PTS: 1 DIF: L4 REF: 8-3 TrigonometryOBJ: 8-3.1 To use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right triangles NAT: CC G.SRT.7| CC G.SRT.8| CC G.MG.1TOP: 8-3 Problem 3 Using Inverses KEY: tangent
102. ANS: A PTS: 1 DIF: L4 REF: 8-3 TrigonometryOBJ: 8-3.1 To use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right triangles NAT: CC G.SRT.7| CC G.SRT.8| CC G.MG.1TOP: 8-3 Problem 3 Using Inverses KEY: sine
103. ANS: A PTS: 1 DIF: L3REF: 8-4 Angles of Elevation and DepressionOBJ: 8-4.1 To use angles of elevation and depression to solve problemsNAT: CC G.SRT.8 TOP: 8-4 Problem 3 Using the Angle of DepressionKEY: sine | angles of elevation and depression | word problem | problem solving
104. ANS: B PTS: 1 DIF: L4 REF: 8-5 Law of SinesOBJ: 8-5.1 To apply the Law of Sines NAT: CC G.SRT.10| CC G.SRT.11TOP: 8-5 Problem 1 Using the Law of Sines (AAS) KEY: Law of Sines
105. ANS: D PTS: 1 DIF: L3 REF: 8-5 Law of SinesOBJ: 8-5.1 To apply the Law of Sines NAT: CC G.SRT.10| CC G.SRT.11TOP: 8-5 Problem 1 Using the Law of Sines (AAS) KEY: Law of Sines
106. ANS: B PTS: 1 DIF: L4 REF: 8-5 Law of SinesOBJ: 8-5.1 To apply the Law of Sines NAT: CC G.SRT.10| CC G.SRT.11TOP: 8-5 Problem 2 Using the Law of Sines (SSA) KEY: Law of Sines
107. ANS: D PTS: 1 DIF: L4 REF: 8-5 Law of SinesOBJ: 8-5.1 To apply the Law of Sines NAT: CC G.SRT.10| CC G.SRT.11TOP: 8-5 Problem 2 Using the Law of Sines (SSA) KEY: Law of Sines
108. ANS: C PTS: 1 DIF: L4 REF: 8-5 Law of SinesOBJ: 8-5.1 To apply the Law of Sines NAT: CC G.SRT.10| CC G.SRT.11TOP: 8-5 Problem 2 Using the Law of Sines (SSA) KEY: Law of Sines
109. ANS: B PTS: 1 DIF: L3 REF: 8-6 Law of CosinesOBJ: 8-6.1 To apply the Law of Cosines NAT: CC G.SRT.10| CC G.SRT.11TOP: 8-6 Problem 1 Using the Law of Cosines (SAS) KEY: Law of Cosines
110. ANS: C PTS: 1 DIF: L3 REF: 8-6 Law of CosinesOBJ: 8-6.1 To apply the Law of Cosines NAT: CC G.SRT.10| CC G.SRT.11TOP: 8-6 Problem 1 Using the Law of Cosines (SAS) KEY: Law of Cosines
111. ANS: B PTS: 1 DIF: L3 REF: 8-6 Law of CosinesOBJ: 8-6.1 To apply the Law of Cosines NAT: CC G.SRT.10| CC G.SRT.11TOP: 8-6 Problem 1 Using the Law of Cosines (SAS) KEY: Law of Cosines
112. ANS: A PTS: 1 DIF: L3 REF: 8-6 Law of CosinesOBJ: 8-6.1 To apply the Law of Cosines NAT: CC G.SRT.10| CC G.SRT.11TOP: 8-6 Problem 2 Using the Law of Cosines (SSS) KEY: Law of Cosines
113. ANS: D PTS: 1 DIF: L4 REF: 8-6 Law of Cosines
OBJ: 8-6.1 To apply the Law of Cosines NAT: CC G.SRT.10| CC G.SRT.11TOP: 8-6 Problem 2 Using the Law of Cosines (SSS) KEY: Law of Cosines
114. ANS: D PTS: 1 DIF: L4 REF: 8-6 Law of CosinesOBJ: 8-6.1 To apply the Law of Cosines NAT: CC G.SRT.10| CC G.SRT.11TOP: 8-6 Problem 2 Using the Law of Cosines (SSS) KEY: Law of Cosines
115. ANS: C PTS: 1 DIF: L4 REF: 8-6 Law of CosinesOBJ: 8-6.1 To apply the Law of Cosines NAT: CC G.SRT.10| CC G.SRT.11TOP: 8-5 Problem 3 Using the Law of Cosines to Solve a ProblemKEY: Law of Cosines
116. ANS:No, the side lengths do not form a Pythagorean triple. The missing side length is found by using the Pythagorean Theorem.
b = 12 21
The side lengths are 24, 12 21 , and 60. They are NOT a Pythagorean triple because 12 21 is not a nonzero whole number.
PTS: 1 DIF: L2 REF: 8-1 The Pythagorean Theorem and Its ConverseOBJ: 8-1.1 To use the Pythagorean theorem and its converseNAT: CC G.SRT.4| CC G.SRT.8| N.5.e| G.3.dTOP: 8-1 Problem 1 Finding the Length of the HypotenuseKEY: Pythagorean Theorem | leg | hypotenuse
117. ANS:a. is the angle of elevation from Mark to the top of the building labeled A.b. is the angle of depression from the top of the building labeled A to John.
PTS: 1 DIF: L3 REF: 8-4 Angles of Elevation and DepressionOBJ: 8-4.1 To use angles of elevation and depression to solve problemsNAT: CC G.SRT.8 TOP: 8-4 Problem 1 Identifying Angles of Elevation and DepressionKEY: angles of elevation and depression | multi-part question | word problem
118. ANS:a. about 15,052 feetb. about 6,122 feet
PTS: 1 DIF: L4 REF: 8-5 Law of SinesOBJ: 8-5.1 To apply the Law of Sines NAT: CC G.SRT.10| CC G.SRT.11TOP: 8-5 Problem 3 Using the Law of Sines to Solve a ProblemKEY: Law of Sines
119. ANS:
[4] a.
b. = Use the tangent ratio.
= 210 Multiply each side by x.
= Divide each side by tan 23 .
x 494.7 Use a calculator.The distance from the base of the lighthouse to the boat is about 494.7 feet.
c. Because the measures of the acute angles of a right triangle add to 90 , you can use the other angle in the triangle to find the distance. The measure of the other acute angle is 90 – 23 , or 67 .
tan 67 = Use the tangent ratio.
x = 210(tan 67 ) Multiply each side by 210.x 494.7 Use a calculator.
d. The shortest distance from the top of the lighthouse to the boat is the hypotenuse of the right triangle with legs of length 210 feet and 494.7 feet.
= Pythagorean Theorem= Substitute.
44,100 + 244,728 = Simplify.288,828 = Simplify.
537.4 c Use a calculator.The shortest distance from the top of the lighthouse to the boat is about 537.4 feet.
[3] one mathematical error or correct answers with incomplete explanations
[2] two mathematical errors or correct answers with errors in explanation
[1] correct answers with no explanation
PTS: 1 DIF: L4 REF: 8-4 Angles of Elevation and DepressionOBJ: 8-4.1 To use angles of elevation and depression to solve problemsNAT: CC G.SRT.8 TOP: 8-4 Problem 3 Using the Angle of DepressionKEY: extended response | word problem | multi-part question | problem solving | rubric-based question | tangent | angles of elevation and depression | writing in math
120. ANS: D PTS: 1 DIF: L4 REF: 8-6 Law of CosinesOBJ: 8-6.1 To apply the Law of Cosines NAT: CC G.SRT.10| CC G.SRT.11TOP: 8-6 Problem 2 Using the Law of Cosines (SSS)KEY: determine Law of Sines or Law of Cosines | problem solving
121. ANS: D PTS: 1 DIF: L4 REF: 8-6 Law of CosinesOBJ: 8-6.1 To apply the Law of Cosines NAT: CC G.SRT.10| CC G.SRT.11TOP: 8-6 Problem 2 Using the Law of Cosines (SSS)KEY: determine Law of Sines or Law of Cosines | SAS | problem solving
122. ANS: C PTS: 1 DIF: L3 REF: 9-1 TranslationsOBJ: 9-1.2 To find translation images of figuresNAT: CC G.CO.2| CC G.CO.4| CC G.CO.5| CC G.CO.6| G.2.b| G.2.c| G.2.dTOP: 9-1 Problem 3 Finding the Image of a Translation
KEY: translation | transformation | image | preimage123. ANS: B PTS: 1 DIF: L3 REF: 9-1 Translations
OBJ: 9-1.2 To find translation images of figuresNAT: CC G.CO.2| CC G.CO.4| CC G.CO.5| CC G.CO.6| G.2.b| G.2.c| G.2.dTOP: 9-1 Problem 3 Finding the Image of a Translation KEY: translation | preimage | image
124. ANS: B PTS: 1 DIF: L3 REF: 9-1 TranslationsOBJ: 9-1.2 To find translation images of figuresNAT: CC G.CO.2| CC G.CO.4| CC G.CO.5| CC G.CO.6| G.2.b| G.2.c| G.2.dTOP: 9-1 Problem 4 Writing a Rule to Describe a Translation KEY: translation | preimage | image
125. ANS: B PTS: 1 DIF: L4 REF: 9-1 TranslationsOBJ: 9-1.2 To find translation images of figuresNAT: CC G.CO.2| CC G.CO.4| CC G.CO.5| CC G.CO.6| G.2.b| G.2.c| G.2.dTOP: 9-1 Problem 4 Writing a Rule to Describe a Translation KEY: translation | image | preimage
126. ANS: A PTS: 1 DIF: L4 REF: 9-1 TranslationsOBJ: 9-1.2 To find translation images of figuresNAT: CC G.CO.2| CC G.CO.4| CC G.CO.5| CC G.CO.6| G.2.b| G.2.c| G.2.dTOP: 9-1 Problem 4 Writing a Rule to Describe a Translation KEY: translation
127. ANS: B PTS: 1 DIF: L3 REF: 9-1 TranslationsOBJ: 9-1.2 To find translation images of figuresNAT: CC G.CO.2| CC G.CO.4| CC G.CO.5| CC G.CO.6| G.2.b| G.2.c| G.2.dTOP: 9-1 Problem 4 Writing a Rule to Describe a Translation KEY: translation
128. ANS: C PTS: 1 DIF: L4 REF: 9-1 TranslationsOBJ: 9-1.2 To find translation images of figuresNAT: CC G.CO.2| CC G.CO.4| CC G.CO.5| CC G.CO.6| G.2.b| G.2.c| G.2.dTOP: 9-1 Problem 4 Writing a Rule to Describe a Translation KEY: translation | word problem
129. ANS: C PTS: 1 DIF: L3 REF: 9-1 TranslationsOBJ: 9-1.2 To find translation images of figuresNAT: CC G.CO.2| CC G.CO.4| CC G.CO.5| CC G.CO.6| G.2.b| G.2.c| G.2.dTOP: 9-1 Problem 4 Writing a Rule to Describe a Translation KEY: translation
130. ANS: D PTS: 1 DIF: L3 REF: 9-1 TranslationsOBJ: 9-1.2 To find translation images of figuresNAT: CC G.CO.2| CC G.CO.4| CC G.CO.5| CC G.CO.6| G.2.b| G.2.c| G.2.dTOP: 9-1 Problem 4 Writing a Rule to Describe a Translation KEY: translation
131. ANS: D PTS: 1 DIF: L3 REF: 9-1 TranslationsOBJ: 9-1.2 To find translation images of figuresNAT: CC G.CO.2| CC G.CO.4| CC G.CO.5| CC G.CO.6| G.2.b| G.2.c| G.2.dTOP: 9-1 Problem 4 Writing a Rule to Describe a Translation KEY: translation
132. ANS: B PTS: 1 DIF: L4 REF: 9-1 TranslationsOBJ: 9-1.2 To find translation images of figuresNAT: CC G.CO.2| CC G.CO.4| CC G.CO.5| CC G.CO.6| G.2.b| G.2.c| G.2.dTOP: 9-1 Problem 5 Composing Translations KEY: translation
133. ANS: B PTS: 1 DIF: L4 REF: 9-2 ReflectionsOBJ: 9-2.1 To find reflection images of figuresNAT: CC G.CO.2| CC G.CO.4| CC G.CO.5| CC G.CO.6| G.2.b| G.2.c| G.2.dTOP: 9-2 Problem 1 Reflecting a Point Across a Line KEY: reflection | line of reflection
134. ANS: B PTS: 1 DIF: L3 REF: 9-2 ReflectionsOBJ: 9-2.1 To find reflection images of figuresNAT: CC G.CO.2| CC G.CO.4| CC G.CO.5| CC G.CO.6| G.2.b| G.2.c| G.2.dTOP: 9-2 Problem 1 Reflecting a Point Across a Line KEY: reflection | line of reflection
135. ANS: C PTS: 1 DIF: L3 REF: 9-2 Reflections
OBJ: 9-2.1 To find reflection images of figuresNAT: CC G.CO.2| CC G.CO.4| CC G.CO.5| CC G.CO.6| G.2.b| G.2.c| G.2.dTOP: 9-2 Problem 1 Reflecting a Point Across a Line KEY: reflection | line of reflection
136. ANS: D PTS: 1 DIF: L4 REF: 9-2 ReflectionsOBJ: 9-2.1 To find reflection images of figuresNAT: CC G.CO.2| CC G.CO.4| CC G.CO.5| CC G.CO.6| G.2.b| G.2.c| G.2.dTOP: 9-2 Problem 1 Reflecting a Point Across a Line KEY: reflection | line of reflection
137. ANS: C PTS: 1 DIF: L4 REF: 9-2 ReflectionsOBJ: 9-2.1 To find reflection images of figuresNAT: CC G.CO.2| CC G.CO.4| CC G.CO.5| CC G.CO.6| G.2.b| G.2.c| G.2.dTOP: 9-2 Problem 1 Reflecting a Point Across a Line KEY: reflection | line of reflection
138. ANS: D PTS: 1 DIF: L3 REF: 9-3 RotationsOBJ: 9-3.1 To draw and identify rotation images of figuresNAT: CC G.CO.2| CC G.CO.4| CC G.CO.5| CC G.CO.6| G.2.b| G.2.c| G.2.dTOP: 9-3 Problem 2 Drawing Rotations in a Coordinate PlaneKEY: rotation | center of rotation | angle of rotation
139. ANS: B PTS: 1 DIF: L3 REF: 9-3 RotationsOBJ: 9-3.1 To draw and identify rotation images of figuresNAT: CC G.CO.2| CC G.CO.4| CC G.CO.5| CC G.CO.6| G.2.b| G.2.c| G.2.dTOP: 9-3 Problem 2 Drawing Rotations in a Coordinate PlaneKEY: rotation | center of rotation | angle of rotation
140. ANS:
PTS: 1 DIF: L4 REF: 9-3 RotationsOBJ: 9-3.1 To draw and identify rotation images of figuresNAT: CC G.CO.2| CC G.CO.4| CC G.CO.5| CC G.CO.6| G.2.b| G.2.c| G.2.dTOP: 9-3 Problem 1 Drawing a Rotation ImageKEY: rotation | angle of rotation | center of rotation
141. ANS: A PTS: 1 DIF: L2 REF: 9-4 Compositions of IsometriesOBJ: 9-4.1 To find compositions of isometries, including glide reflectionsNAT: CC G.CO.2| CC G.CO.5| CC G.CO.6| G.2.d| G.2.gTOP: 9-4 Problem 1 Composing Reflections Across Parallel LinesKEY: isometry
142. ANS: B PTS: 1 DIF: L3 REF: 9-6 DilationsOBJ: 9-6.1 To understand dilation images of figures NAT: CC G.CO.2| G.2.c| G.2.dTOP: 9-6 Problem 1 Finding a Scale Factor KEY: dilation | enlargement | scale factor
143. ANS: D PTS: 1 DIF: L3 REF: 9-6 DilationsOBJ: 9-6.1 To understand dilation images of figures NAT: CC G.CO.2| G.2.c| G.2.dTOP: 9-6 Problem 1 Finding a Scale Factor KEY: dilation | reduction | scale factor
144. ANS: D PTS: 1 DIF: L3 REF: 9-6 DilationsOBJ: 9-6.1 To understand dilation images of figures NAT: CC G.CO.2| G.2.c| G.2.dTOP: 9-6 Problem 3 Using a Scale Factor to Find a LengthKEY: dilation | enlargement | scale factor | word problem
145. ANS: A PTS: 1 DIF: L4 REF: 9-7 Similarity TransformationsOBJ: 9-7.1 To identify similarity transformations and verify properties of similarityNAT: CC G.SRT.2| CC G.SRT.3 TOP: 9-7 Problem 2 Describing TransformationsKEY: similar | similarity transformation | rigid motion
