Question

Circles Unit Test
CR Geometry B
and
Geometry B Semester Exam
CR Geometry B

Answer 1

1. is tangent to O. If AO = 48 and BC = 100, what is AB? The diagram is not drawn to scale. (1 point)
(0 pts) 148
(1 pt) 140
(0 pts) 188
(0 pts) 200
0 /1 point
2. What is the value of x in the circle below? If necessary, round the answer to the nearest tenth. The figure
is not drawn to scale.
(1 point)
(0 pts) x = 39.3
(0 pts) x = 36.7
(0 pts) x = 29
(1 pt) x = 21.5
0 /1 point
3. What is the value of x in the circle below? If necessary, round the answer to the nearest tenth. The figure
is not drawn to scale.
(1 point)
(0 pts) x = 26.5
(0 pts) x = 37
(1 pt) x = 53
(0 pts) x = 106
1 /1 point
4. and are diameters. What is the measure of ? The figure is not drawn to scale. (1 point)
(1 pt) 214°
(0 pts) 266°
(0 pts) 60°
(0 pts) 300°
0 /1 point
5. If m R = 31°, what is m O? The figure is not drawn to scale. (1 point)
(0 pts) 31°
(0 pts) 59°
(1 pt) 62°
(0 pts) 149°
1 /1 point
6. If CDA = 48°, what is CBA? (1 point)
(1 pt) 48°
(0 pts) 42°
(0 pts) 24°
(0 pts) 132°
1 /1 point
7. In the circle, = 62°. The diagram is not drawn to scale.
What is ?
(1 point)
(0 pts) 164°
(0 pts) 98°
(0 pts) 82°
(1 pt) 31°
1 /1 point
8. What is the measure of when APB= 78°? The figure is not drawn to scale. (1 point)
(1 pt) 102°
(0 pts) 156°
(0 pts) 204°
(0 pts) 39°
1 /1 point
9. A satellite at point B is 4,800 miles from point A on Earth. Earth’s radius is about 4,000 miles. Segment AB
is tangent to the circle. The figure is not drawn to scale.
What is the approximate distance between the satellite and Earth’s surface?
(1 point)
(0 pts) 8,800 miles
(0 pts) 6,248 miles
(1 pt) 2,248 miles
(0 pts) 800 miles
1 /1 point
10. is tangent to circle O at B. The figure is not drawn to scale.
If AB = 7 and AO = 8.9, what is the length of radius r to the nearest tenth?
(1 point)
(0 pts) 3.6
(0 pts) 1.9
(0 pts) 11.3
(1 pt) 5.5
0 /1 point
11.
JK, KL, and LJ are all tangent to circle O. The diagram is not drawn to scale.
If JA = 15, AL = 10, and CK = 6, what is the perimeter of ?
(1 point)
(1 pt) 62
(0 pts) 50
(0 pts) 42
(0 pts) 31
0 /1 point
12. In the figure, is a diameter, and . The figure is not drawn to scale.
If m = 48°, what is m ?
(1 point)
(0 pts) 138°
(1 pt) 132°
(0 pts) 96°
(0 pts) 42°
0 /1 point
13.
What is the measure of ∠BAC? The figure is not drawn to scale. (1 point)
(0 pts) 28°
(1 pt) 31°
(0 pts) 62°
(0 pts) 124°
0 /1 point
14. Given that DAB and DCB are right angles, and m BDC = 56º, what is ? The figure is not drawn
to scale.
(1 point)
(0 pts) 326°
(0 pts) 304°
(1 pt) 292°
(0 pts) 248°
0 /1 point
15.
If = 50°, what is m YAC? The figure is not drawn to scale. (1 point)
(0 pts) 130°
(0 pts) 25°
(1 pt) 65°
(0 pts) 100°
1 /1 point
16. If m = 129° and m = 65°, what is m A? The figure is not drawn to scale. (1 point)
(0 pts) 96.5°
(0 pts) 97°
(1 pt) 32°
(0 pts) 64°
0 /1 point
17.
If m = 58° and m = 18°, what is the value of x? The figure is not drawn to scale. (1 point)
(0 pts) x = 76°
(0 pts) x = 67°
(0 pts) x = 40°
(1 pt) x = 38°
0 /1 point
18. In the circle, AB = 19, BC = 10, and CD = 5. The diagram is not drawn to scale.
What is the value of x?
(1 point)
(0 pts) x = 23
(1 pt) x = 53
(0 pts) x = 38
(0 pts) x = 58
1 /1 point
19.
If BC = 17 and DC = 26, what is the diameter of circle O to the nearest tenth? The figure is not drawn to
scale.
(1 point)
(0 pts) 15.5
(0 pts) 56.8
(1 pt) 22.8
(0 pts) 39.8
0 /1 point
20. What are the center and radius of the circle with equation (x + 3)2 + (y – 5)2 = 36? (1 point)
(1 pt) center: (–3, 5); r = 6
(0 pts) center: (3, –5); r = 6
(0 pts) center: (–3, 5); r = 36
(0 pts) center: (3, –5); r = 36
1 /1 point
21. What is the equation of the circle with center (0, 0) that passes through the point (–8, –8)? (1 point)
(0 pts) x2 + y2 = 0
(1 pt) x2 + y2 = 128
(0 pts) (x – (–8))2 + (y – (–8))2 = 0
(0 pts) (x – (–8))2 + (y – (–8))2 = 128
1 /1 point
22. A manufacturer is designing a two-wheeled cart that can maneuver through tight spaces. On one test
model, the wheel placement (center) and radius are modeled by the equation (x + 1.5)2 + (y + 2)2 =
9. Which graph shows the position and radius of the wheels?
(1 point)
(1 pt)
(0 pts)
(0 pts)
(0 pts)
1 /1 point
The final score is 11/22 (50%).

Answer 2

1. What is the solution to the proportion? (1 point)
(1 pt) 27
(0 pts) 9
(0 pts)
(0 pts)
1 /1 point
2. Given the proportion , which ratio completes the equivalent proportion = ? (1 point)
(0 pts)
(0 pts)
(1 pt)
(0 pts)
1 /1 point
3.
Are the two triangles similar? How do you know? (1 point)
(0 pts) yes; by SAS~
(1 pt) yes; by AA~
(0 pts) no
(0 pts) yes; by SSS~
0 /1 point
4. Which theorem or postulate proves the two triangles are similar? The figure is not drawn to scale. (1 point)
(1 pt) SAS~ theorem
(0 pts) AA~ postulate
(0 pts) SA~ postulate
(0 pts) SSS~ theorem
1 /1 point
5. What is the geometric mean of the pair of numbers?
45 and 5
(1 point)
(1 pt) 15
(0 pts) 25
(0 pts) 35
(0 pts) 20
1 /1 point
6. What is the value of x, given that (1 point)
(1 pt) x = 15
(0 pts) x = 5
(0 pts) x = 25
(0 pts) x = 10
0 /1 point
7. What is the value of x? (1 point)
(1 pt) x = 8
(0 pts) x = 12
(0 pts) x = 6
(0 pts) x = 2
1 /1 point
8.
What is the length of the missing side in the given triangle? The figure is not drawn to scale. (1 point)
(0 pts) 120
(0 pts) 289
(0 pts) 46
(1 pt) 17
1 /1 point
9. In ΔABC, A is a right angle, and m B = 45°.
What is the length of BC? If your answer is not an integer, leave it in simplest radical form.
(1 point)
(0 pts) 24 "
(0 pts) "
(1 pt) "
(0 pts) 12 "
1 /1 point
10. What is the value of the variable in the given figure in simplest radical form? The figure is not drawn to
scale.
(1 point)
(0 pts) x =
(1 pt) x =
(0 pts) x = 6
(0 pts) x = 3
1 /1 point
11. A piece of art is in the shape of an equilateral triangle with sides of 6 in. What is the area of the piece of
art? Round the answer to the nearest tenth.
(1 point)
(0 pts) 12.7 in.2
(1 pt) 15.6 in.2
(0 pts) 31.2 in.2
(0 pts) 25.5 in.2
1 /1 point
12. What are the tangent ratios for ∡P and ∡Q? The figure is not drawn to scale. (1 point)
(0 pts)
(1 pt)
(0 pts)
(0 pts)
0 /1 point
13.
What are the ratios for sin A and cos A? The figure is not drawn to scale. (1 point)
(0 pts)
(0 pts)
(0 pts)
(1 pt)
0 /1 point
14. Using a trigonometric ratio, what is the value of x rounded to the nearest tenth? The figure is not drawn
to scale.
(1 point)
(0 pts) x = 3.7
(0 pts) x = 8.8
(1 pt) x = 17.2
(0 pts) x = 18.9
1 /1 point
15.
What is the value of x to the nearest degree? The figure is not drawn to scale. (1 point)
(1 pt) x = 61
(0 pts) x = 56
(0 pts) x = 34
(0 pts) x = 29
0 /1 point
16. In the diagram below, what is the description of ∡5 as it relates to the situation shown? (1 point)
(0 pts) ∡5 is the angle of elevation from the person to the plane.
(0 pts) ∡5 is the angle of depression from the person to the plane.
(1 pt) ∡5 is the angle of depression from the plane to the person.
(0 pts) ∡5 is the angle of elevation from the plane to the person.
1 /1 point
17.
Which type of symmetry, if any, does the figure have? (1 point)
(0 pts) reflectional
(1 pt) rotational
(0 pts) rotational and reflectional
(0 pts) no symmetry
0 /1 point
18. Which type of symmetry, if any, does the figure have? (1 point)
(0 pts) reflectional
(0 pts) rotational
(1 pt) reflectional and rotational
(0 pts) no symmetry
0 /1 point
19. Name the image of ABC a"er a reflection across line t and then a reflection across line r. (1 point)
(1 pt) UVW
(0 pts) LMN
(0 pts) XYZ
(0 pts) DEF
0 /1 point
20. What is the area of a regular hexagon with side length of 12 cm to the nearest tenth? (1 point)
(0 pts) 748.2 cm2
(0 pts) 432.0 cm2
(1 pt) 374.1 cm2
(0 pts) 124.7 cm2
1 /1 point
21. The trapezoids shown below are similar but not drawn to scale.
If the area of the smaller trapezoid is 325 m2, what is the area of the larger trapezoid to the nearest whole
number?
(1 point)
(1 pt) 1,143 m2
(0 pts) 937 m2
(0 pts) 609 m2
(0 pts) 173 m2
0 /1 point
22. What is the area of the triangle to the nearest tenth? The figure is not drawn to scale. (1 point)
(0 pts) 126.2 cm2
(0 pts) 19.3 cm2
(0 pts) 215.9 cm2
(1 pt) 63.1 cm2
1 /1 point
Note: For questions 23 and 24, find the circumference. Leave the answer in terms of .
23. (1 point)
(0 pts) 9 cm
(1 pt) 4.5 cm
(0 pts) 2.25 cm
(0 pts) 6.75 cm
1 /1 point
24. (1 point)
(1 pt) in.
(0 pts) in.
(0 pts) in.
(0 pts) in.
1 /1 point
25.
The area of sector of AOB is 30.25 cm2.
What is the exact area of the shaded region?
(1 point)
(0 pts) (30.25 – 121)cm2
(0 pts) (30.25 – 121 )cm2
(1 pt) (30.25 – 60.5)cm2
(0 pts) (30.25 – 60.5 )cm2
1 /1 point
26. What is the probability that a point chosen at random on the grid will lie in the unshaded region? (1 point)
(1 pt)
(0 pts)
(0 pts)
(0 pts)
1 /1 point
27.
Patrick built the model shown in the diagram below for a social studies project. He wants to be able to
show the inside of his model, so he sliced the figure as shown. Describe the cross section he created.
(1 point)
(0 pts) hexagon
(0 pts) pentagon
(0 pts) pyramid
(1 pt) rectangle
1 /1 point
28. What is the lateral area of the rectangular prism? Round the answer to the nearest whole number.
Assume the 4 m × 8 m rectangles on the le" and right are the bases. The diagram is not drawn to scale.
(1 point)
(0 pts) 496 m2
(1 pt) 432 m2
(0 pts) 352 m2
(0 pts) 208 m2
0 /1 point
29.
What is the slant height x of the given pyramid to the nearest tenth? The figure is not drawn to scale. (1 point)
(0 pts) 10.8 mm
(1 pt) 7.5 mm
(0 pts) 5.7 mm
(0 pts) 3.8 mm
1 /1 point
30. What is the slant height of the cone to the nearest whole number? The figure is not drawn to scale. (1 point)
(0 pts) 12 m
(1 pt) 22 m
(0 pts) 34 m
(0 pts) 38 m
1 /1 point
31. The lateral area of a cone is 480 cm2. The radius is 40 cm. What is the slant height to the nearest tenth? (1 point)
(1 pt) 12.0 cm
(0 pts) 11.5 cm
(0 pts) 7.7 cm
(0 pts) 6.7 cm
1 /1 point
32. What is the volume of the given prism? The figure is not drawn to scale. (1 point)
(1 pt) 720 "3
(0 pts) 711 "3
(0 pts) 728 "3
(0 pts) 484 "3
1 /1 point
33. What is the volume of the composite space figure to the nearest whole number? The figure is not drawn
to scale.
(1 point)
(0 pts) 40 cm3
(0 pts) 84 cm3
(1 pt) 124 cm3
(0 pts) 148 cm3
1 /1 point
34. What is the volume of the square pyramid to the nearest tenth? The figure is not drawn to scale. (1 point)
(0 pts) 366.3 cm3
(0 pts) 2,888.0 cm3
(1 pt) 1,925.3 cm3
(0 pts) 101.3 cm3
1 /1 point
35. What is the volume of the cone shown as a decimal rounded to the nearest tenth? The figure is not drawn
to scale.
(1 point)
(0 pts) 1,696.5 yd3
(1 pt) 471.2 yd3
(0 pts) 94.2 yd3
(0 pts) 706.9 yd3
1 /1 point
36. What is the surface area of a sphere with a radius of 55 m in terms of ? (1 point)
(1 pt) 12,100 m2
(0 pts) 9,075 m2
(0 pts) 6,050 m2
(0 pts) 3,025 m2
0 /1 point
37.
What is the volume of the sphere shown to the nearest cubic unit? (1 point)
(0 pts) 105 mm3
(0 pts) 209 mm3
(0 pts) 393 mm3
(1 pt) 524 mm3
1 /1 point
38. If the scale factor of two similar solids is 4:9, what is the ratio of their corresponding areas? What is the
ratio of their corresponding volumes?
(1 point)
(1 pt) The ratio of their corresponding areas is 16:81.
The ratio of their corresponding volumes is 64:729.
(0 pts) The ratio of their corresponding areas is 8:18.
The ratio of their corresponding volumes is 12:27.
(0 pts) The ratio of their corresponding areas is 4:81.
The ratio of their corresponding volumes is 4:729.
(0 pts) The ratio of their corresponding areas is 64:729.
The ratio of their corresponding volumes is 16:81.
1 /1 point
39. is tangent to . If AO = 17 and BC = 128, what is AB? The figure is not to scale. (1 point)
(0 pts) 289
(0 pts) 256
(0 pts) 145
(1 pt) 144
0 /1 point
40. What is the value of x in the given circle? The figure is not drawn to scale. (1 point)
(0 pts) x = 5
(0 pts) x = 15
(0 pts) x = 20
(1 pt) x = 25
1 /1 point
41. What is the value of x in the given circle? The figure is not drawn to scale. (1 point)
(0 pts) x = 29
(1 pt) x = 58
(0 pts) x = 87
(0 pts) x = 116
0 /1 point
42. and are diameters in circle C. What is the measure of ? The figure is not drawn to scale. (1 point)
(0 pts) 57°
(1 pt) 222°
(0 pts) 261°
(0 pts) 303°
0 /1 point
43. What is the value of x in circle O? The figure is not drawn to scale. (1 point)
(0 pts) x = 124°
(0 pts) x = 62°
(1 pt) x = 31°
(0 pts) x = 28°
1 /1 point
44.
If m R = 50° in circle O, what is m O? The figure is not drawn to scale. (1 point)
(1 pt) 100°
(0 pts) 50°
(0 pts) 40°
(0 pts) 130°
0 /1 point
45. In the circle, m = 85°. What is m∡BCP? The figure is not drawn to scale. (1 point)
(1 pt) 42.5°
(0 pts) 85°
(0 pts) 95°
(0 pts) 170°
1 /1 point
46.
What is the measure of when m∡P = 78°? The figure is not drawn to scale. (1 point)
(1 pt) 102°
(0 pts) 156°
(0 pts) 204°
(0 pts) 39°
0 /1 point
47. The measures of the angles of a triangle are in the extended ratio 3:6:11. What is the measure of the
largest angle?
(1 point)
(1 pt) 99°
(0 pts) 54°
(0 pts) 27°
(0 pts) 20°
1 /1 point
48. In a drawing of the solar system, the scale is 1 mm = 500 km. For a planet with a diameter of 5,000 km,
what should be the diameter of the drawing of the planet?
(1 point)
(0 pts) 2,500,000 mm
(0 pts) 5,000 mm
(0 pts) 100 mm
(1 pt) 10 mm
1 /1 point
49. A grid shows the positions of a subway stop and your house. The subway stop is located at (6, –2), and
your house is located at (3, 1). What is the distance, to the nearest unit, between your house and the
subway stop?
(1 point)
(0 pts) 10
(0 pts) 9
(1 pt) 4
(0 pts) 3
1 /1 point
50. Find the magnitude and direction of the vector. Round the length to the nearest tenth and degree to the
nearest unit. The figure is not drawn to scale.
(1 point)
(0 pts) about 22.0 mi; 627.7 south of east
(0 pts) about 627.7 mi; 22 south of east
(1 pt) about 627.7 mi; 22 south of west
(0 pts) about 22.0 mi; 627.7 south of west
1 /1 point
51. The figures below are similar. What are a) the ratio of the perimeters and b) the ratio of the areas of the
first figure to the second? The figures are not drawn to scale.
(1 point)
(0 pts) and
(1 pt) and
(0 pts) and
(0 pts) and
0 /1 point
52. What is the similarity ratio of a cube with volume 1,000 m3 to a cube with volume 4,096 m3? (1 point)53. The volumes of two similar solids are 1,331 m3 and 216 m3. The surface area of the larger solid is 484 m2.
What is the surface area of the smaller solid?
(1 point)
(0 pts) 864 m2
(0 pts) 288 m2
(1 pt) 144 m2
(0 pts) 68 m2

(0 pts) 256:100
(0 pts) 100:256
(0 pts) 8:5
(1 pt) 5:8

Answer 3

These are some other test from this class

Answer 4

1. In the diagram, figure PMNO is the image of figure ABCD.
What is the name of the image of ?
(1 point)
(1 pt)
(0 pts)
(0 pts)
(0 pts)
1 /1 point
2.
Which image is the translation of given by the translation rule (x, y) → (x – 4, y + 2)? (1 point)
(0 pts)
(1 pt)
(0 pts)
(0 pts)
0 /1 point
3.
Use the diagram to answer the question that follows.
What is the image of C under the translation described by the translation rule (x, y) (x + 11, y – 8)?
(1 point)
(1 pt) D
(0 pts) B
(0 pts) E
(0 pts) A
0 /1 point
4. Use the diagram to answer the question that follows.
What is the translation rule that describes the translation B A?
(1 point)
(0 pts) (x, y) (x, y + 15)
(0 pts) (x, y) (x + 7, y + 2)
(0 pts) (x, y) (x – 4, y + 10)
(1 pt) (x, y) (x + 8, y + 14)
0 /1 point
5. The vertices of a rectangle are R(–5, –5), S(–1, –5), T(–1, 1), and U(–5, 1). A"er translation, R’ is the point (–
7, –8). What are the translation rule and coordinates of U’?
(1 point)
(0 pts) (x, y) (x + 2, y + 3); (–3, 4)
(0 pts) (x, y) (x + 2, y – 3); (–3, –2)
(1 pt) (x, y) (x – 2, y – 3); (–7, –2)
(0 pts) (x, y) (x – 2, y + 3); (–7, 4)
0 /1 point
6. What is the description of the translation represented by the translation rule (x, y) (x + 2, y + 2)? (1 point)
(0 pts) 2 units to the right and 2 units down
(1 pt) 2 units to the right and 2 units up
(0 pts) 2 units to the le" and 2 units up
(0 pts) 2 units to the le" and 2 units down
1 /1 point
7. Sarah was sitting in a seat at a baseball game when another ticket holder told her she was in the wrong
seat. The other ticket holder kindly told Sarah she needed to go 5 rows down and 3 seats to the right.
Which rule describes the translation needed to put Sarah in the correct seat?
(1 point)
(0 pts) (x, y) → (x – 5, y + 3)
(0 pts) (x, y) → (x – 3, y – 5)
(0 pts) (x, y) → (x + 3, y + 5)
(1 pt) (x, y) → (x + 3, y – 5)
1 /1 point
8. Which translation rule describes the translation that is 2 units to the le" and 8 units up? (1 point)
(0 pts) (x, y) (x + 2, y – 8)
(0 pts) (x, y) (x – 2, y – 8)
(1 pt) (x, y) (x – 2, y + 8)
(0 pts) (x, y) (x + 2, y + 8)
1 /1 point
9. What is a rule that describes the translation ABCD A’B’C’D’? (1 point)
(0 pts) (x, y) (x + 6, y – 5)
(0 pts) (x, y) (x – 6, y + 5)
(0 pts) (x, y) (x – 5, y + 6)
(1 pt) (x, y) (x + 5, y – 6)
0 /1 point
10. Which translation rule describes the translation that is 7 units to the le" and 8 units up? (1 point)
(0 pts) (x, y) (x + 7, y + 8)
(1 pt) (x, y) (x – 7, y + 8)
(0 pts) (x, y) (x – 7, y – 8)
(0 pts) (x, y) (x + 7, y – 8)
1 /1 point
11. Which translation rule can be used to describe the result of the composition of (x, y) (x – 7, y + 7) and
(x, y) (x + 1, y – 6)?
(1 point)
(0 pts) (x, y) (x – 8, y + 13)
(0 pts) (x, y) (x – 6, y + 13)
(0 pts) (x, y) (x – 8, y + 1)
(1 pt) (x, y) (x – 6, y + 1)
0 /1 point
12. The vertices of a triangle are P(4, –6), Q(5, –6), and R(–2, 6). What are the vertices of the image reflected
across the line y = x?
(1 point)
(0 pts) P’(–6, –4), Q’(–6, –5), and R’(6, 2)
(1 pt) P’(–6, 4), Q’(–6, 5), and R’(6, –2)
(0 pts) P’(6, 4), Q’(6, 5), and R’(–6, –2)
(0 pts) P’(6, –4), Q’(6, –5), and R’(–6, 2)
1 /1 point
13. The vertices of a triangle are P(5, 7), Q(3, 4), and R(–2, 6). What are the vertices of the image reflected
across the x-axis?
(1 point)
(0 pts) P’(–5, 7), Q’(–3, 4), and R’(2, 6)
(0 pts) P’(5, 7), Q’(3, 4), and R’(2, 6)
(0 pts) P’(–5, –7), Q’(–3, –4), and R’(2, –6)
(1 pt) P’(5, –7), Q’(3, –4), and R’(–2, –6)
0 /1 point
14. The vertices of a triangle are P(8, 5), Q(–5, 8), and R(–4, 3). What are the vertices of the image reflected
across the y-axis?
(1 point)
(0 pts) P’(8, –5), Q’(–5, –8), and R’(–4, –3)
(1 pt) P’(–8, 5), Q’(5, 8), and R’(4, 3)
(0 pts) P’(8, 5), Q’(–5, 8), and R’(–4, 3)
(0 pts) P’(–8, –5), Q’(5, –8), and R’(4, –3)
0 /1 point
15. What is the image of O(1, 4) a"er two reflections, first across the line y = 4, and then across the line x = –2? (1 point)
(1 pt) (–5, 4)
(0 pts) (–2, 4)
(0 pts) (–1, 8)
(0 pts) (1, 4)
0 /1 point
16.
The hexagon GIKMPR and FJN are regular. The dashed line segments form 30° angles.
What is the image of a"er a rotation of 180°?
(1 point)
(0 pts)
(1 pt)
(0 pts)
(0 pts)
1 /1 point
17. What is the degree of rotation about the spinner center that maps label j to label g? (1 point)
(0 pts) 216°
(0 pts) 180°
(1 pt) 108°
(0 pts) 144°
0 /1 point
18.
How many lines of symmetry does the figure have? (1 point)
(0 pts) 0
(0 pts) 6
(0 pts) 4
(1 pt) 5
1 /1 point
19. Determine whether the three-dimensional object has rotational symmetry about a line and/or
reflectional symmetry in a plane.
(1 point)
(1 pt) reflectional symmetry
(0 pts) no symmetry
(0 pts) rotational symmetry
(0 pts) reflectional and rotational symmetry
0 /1 point
20.
The dashed-line figure is a dilation image of the solid-line figure.
Is the dilation an enlargement or a reduction? What is the scale factor of the dilation?
(1 point)
(1 pt) enlargement; 3
(0 pts) reduction;
(0 pts) reduction; 3
(0 pts) enlargement;
0 /1 point
21. A blueprint for a house has a scale of 1:50. A wall in the blueprint is 6 in. What is the length of the actual
wall?
(1 point)
(0 pts) 300 ".
(1 pt) 25 ".
(0 pts) 3,600 ".
(0 pts) 25 in.
0 /1 point
22. A microscope shows an image of an object that is 30 times the object’s actual size. So, the scale factor of
the enlargement is 30. An insect has a body length of 3 millimeters. What is the body length of the insect
under the microscope?
(1 point)
(1 pt) 90 millimeters
(0 pts) 9 millimeters
(0 pts) 900 millimeters
(0 pts) 90 centimeters
1 /1 point
23. The zoom feature on a camera lens allows you to dilate what appears on the display. When you change
from 100% to 300%, the new image on your screen in an enlargement of the original image with a scale
factor of 3. If the new image is 24 millimeters wide, what was the width of the original image?
(1 point)
(1 pt) 8 millimeters
(0 pts) 16 millimeters
(0 pts) 36 millimeters
(0 pts) 63 millimeters
0 /1 point
24. Determine whether ABC JGH is a reflection, translation, rotation, or glide reflection.
What is the reflection line, translation rule, center and angle of rotation, or glide translation rule and
reflection line?
(1 point)
(1 pt) rotation; 180° about (–0.5, 0)
(0 pts) glide reflection; translate 8 units to the right, and then reflect across the line y = 4.
(0 pts) reflection; x = 5
(0 pts) rotation; 180° about (1, 4)

Answer 5

1. Use Euler’s formula to find the missing number.
Vertices: 13
Edges: 28
Faces: ?
(1 point)
(1 pt) 17
(0 pts) 16
(0 pts) 18
(0 pts) 20
1 /1 point
2. Describe the cross section. (1 point)
(1 pt) pentagon
(0 pts) trapezoid
(0 pts) hexagon
(0 pts) cube
1 /1 point
3. A department store sells small boxes in which customers can store potpourri. The diagram below shows
one of the boxes. The diagram is not drawn to scale.
What are the lateral area and the surface area of the box to the nearest whole number? Use the large 17
cm × 5 cm rectangles on the top and bottom as the bases.
(1 point)
(0 pts) 69 cm2; 307 cm2
(0 pts) 69 cm2; 392 cm2
(1 pt) 137 cm2; 307 cm2
(0 pts) 137 cm2; 392 cm2
1 /1 point
4. Use formulas to find the lateral area and surface area of the given prism. Round your answer to the
nearest whole number. The figure is not drawn to scale.
(1 point)
(0 pts) 795 m2; 809 m2
(0 pts) 758 m2; 849 m2
(1 pt) 795 m2; 822 m2
(0 pts) 758 m2; 822 m2
1 /1 point
5.
Find the surface area of the cylinder to the nearest whole number. The figure is not drawn to scale. (1 point)
(0 pts) 7,433 in2
(1 pt) 2,205 in2
(0 pts) 1,144 in2
(0 pts) 1,062 in2
1 /1 point
6. Find the surface area of the regular pyramid shown to the nearest whole number. The figure is not drawn
to scale.
(1 point)
(0 pts) 351 m2
(0 pts) 415 m2
(0 pts) 542 m2
(1 pt) 790 m2
1 /1 point
7. What is the surface area of a conical grain storage tank that has a height of 43 meters and a diameter of
14 meters? Round the answer to the nearest square meter.
(1 point)
(0 pts) 1,100 square meters
(1 pt) 1,112 square meters
(0 pts) 2,507 square meters
(0 pts) 2,605 square meters
0 /1 point
8. What is the slant height of the cone to the nearest whole number? The figure is not drawn to scale. (1 point)
(0 pts) 20 m
(0 pts) 22 m
(0 pts) 24 m
(1 pt) 26 m
1 /1 point
9. The lateral area of a cone is 555 cm2. The radius is 15 cm. What is the slant height to the nearest tenth
of a centimeter?
(1 point)
(1 pt) 37.0 cm2
(0 pts) 21.7 cm
(0 pts) 22.2 cm
(0 pts) 7.7 cm
1 /1 point
10.
What are the lateral area and the surface area of the cone shown below? Round the answers to the
nearest tenth. The figure is not drawn to scale.
(1 point)
(0 pts) LA = 615.8 #2; SA = 1,803.3 #2
(0 pts) LA = 615.8 #2; SA = 3,166.7 #2
(1 pt) LA = 1,187.5 #2; SA = 1,803.3 #2
(0 pts) LA = 1,187.5 #2; SA = 3,166.7 #2
1 /1 point
11. What is the volume of the given prism? Round the answer to the nearest tenth of a centimeter. The figure
is not drawn to scale.
(1 point)
(0 pts) 295.5 cm3
(0 pts) 451.7 cm3
(0 pts) 493.0 cm3
(1 pt) 617.1 cm3
1 /1 point
For questions 14 and 15, find the volume of the cylinder in terms of . The diagrams are not drawn to scale.
12.
(1 point)
(1 pt) 43.35 m3
(0 pts) 51 m3
(0 pts) 56.78 m3
(0 pts) 73.695 m3
1 /1 point
13.
h = 8 in. and r = 4 in.
(1 point)
(0 pts) 256 in.3
(1 pt) 128 in.3
(0 pts) 64 in.3
(0 pts) 32 in.3
1 /1 point
14. What is the height of the cylinder? The figure is not drawn to scale. (1 point)
(0 pts) 14.7 in
(0 pts) 6.6 in
(1 pt) 2.1 in
(0 pts) 4.2 in
1 /1 point
15. What is the volume of the composite space figure to the nearest whole number? The figure is not drawn
to scale.
(1 point)
(0 pts) 216 cm3
(0 pts) 90 cm3
(0 pts) 378 cm3
(1 pt) 306 cm3
1 /1 point
For questions 18 and 19, find the volume of the square pyramid shown. Round to the nearest whole number. The
diagrams are not drawn to scale.
16. (1 point)
(0 pts) 588 cm3
(1 pt) 392 cm3
(0 pts) 168 cm3
(0 pts) 28 cm3
1 /1 point
17. (1 point)
(0 pts) 9,216 #3
(0 pts) 192 #3
(1 pt) 3,072 #3
(0 pts) 4,608 #3
1 /1 point
18. What is the maximum volume of a square pyramid that can fit inside a cube with a side length of 18 cm? (1 point)
(0 pts) 5,832 cm3
(0 pts) 2,916 cm3
(1 pt) 1,944 cm3
(0 pts) 972 cm3
1 /1 point
19. A rectangular pyramid fits exactly on top of a rectangular prism. The prism has a length of 24 cm, a width
of 3 cm, and a height of 12 cm. The pyramid has a height of 21 cm. Find the volume of the composite
space figure.
(1 point)
(0 pts) 4,032 cm3
(0 pts) 2,376 cm3
(1 pt) 1,368 cm3
(0 pts) 792 cm3
1 /1 point
For questions 24 and 25, find the surface area of the sphere with the given dimension. Leave your answer in terms of .
20. radius of 60 m (1 point)
(0 pts) 3,600 m2
(0 pts) 7,200 m2
(0 pts) 10,800 m2
(1 pt) 14,400 m2
0 /1 point
21. A spherical balloon has a circumference of 19 cm. What is the approximate surface area of the balloon to
the nearest square centimeter?
(1 point)
(1 pt) 115 cm2
(0 pts) 460 cm2
(0 pts) 361 cm2
(0 pts) 1,134 cm2
1 /1 point
For questions 27 and 28, find the volume of the sphere shown. Round the answers to the nearest cubic unit.
22. (1 point)
(1 pt) 524 mm3
(0 pts) 393 mm3
(0 pts) 295 mm3
(0 pts) 105 mm3
1 /1 point
23. The volume of a sphere is 3,000 m3. What is the surface area of the sphere to the nearest square
meter?
(1 point)
(0 pts) 688 m2
(0 pts) 1,079 m2
(1 pt) 2,158 m2
(0 pts) 3,167 m2
1 /1 point
For questions 30 and 31, determine whether the two figures are similar. If so, give the similarity ratio of the smaller figure
to the larger figure. The figures are not drawn to scale.
24. (1 point)
(0 pts) yes; 1:4
(0 pts) yes; 1:6
(1 pt) yes; 1:8
(0 pts) no
0 /1 point
25. (1 point)
(1 pt) yes; 1:1.2
(0 pts) yes; 1:1.4
(0 pts) yes; 1:2.4
(0 pts) no
0 /1 point
26. What is the scale factor of a cube with volume 343 #.3 to a cube with volume 2,744 #.3? (1 point)
(0 pts) 49:196
(1 pt) 1:2
(0 pts) 2:1
(0 pts) 1:8
0 /1 point
27. If the scale factor of two similar solids is 5:13, what is the ratio of their corresponding areas and volumes? (1 point)
(0 pts) 125:2,197 and 25:169
(1 pt) 25:169 and 125:2,197
(0 pts) 10:26 and 15:39
(0 pts) 5:169 and 5:2,197
0 /1 point
28. The volumes of two similar solids are 1,331 m3 and 216 m3. The surface area of the larger solid is 484 m2.
What is the surface area of the smaller solid?
(1 point)
(0 pts) 864 m2
(0 pts) 288 m2
(1 pt) 144 m2
(0 pts) 68 m2

Answer 6

1. What is the area of the parallelogram? The figure is not drawn to scale. (1 point)
(0 pts) 1,720 in.2
(1 pt) 1,240 in.2
(0 pts) 142 in.2
(0 pts) 71 in.2
1 /1 point
2. What is the area of the figure? The figure is not drawn to scale. (1 point)
(0 pts) 92 cm2
(1 pt) 46 cm2
(0 pts) 27 cm2
(0 pts) 13.5 cm2
1 /1 point
3.
What is the area of the figure? The figure is not drawn to scale. (1 point)
(0 pts) 197 cm2
(1 pt) 158 cm2
(0 pts) 155 cm2
(0 pts) 55 cm2
0 /1 point
4. What is the area of the trapezoid? Leave the answer in simplest radical form. The figure is not drawn to
scale.
(1 point)
(0 pts) 36 "2
(0 pts) 72 "2
(1 pt) 36 "2
(0 pts) 9 "2
0 /1 point
5.
What is the area of the rhombus? (Note: The figure is not drawn to scale.) (1 point)
(1 pt) 160 cm2
(0 pts) 80 cm2
(0 pts) 320 cm2
(0 pts) 200 cm2
1 /1 point
6. Given a regular octagon, what are the measures of the angles formed by (a) two consecutive radii and (b)
a radius and a side of the polygon?
(1 point)
(0 pts) 45°; 90°
(1 pt) 45°; 67.5°
(0 pts) 36°; 90°
(0 pts) 36°; 67.5°
0 /1 point
7.
The figures are similar. What are a) the ratio of the perimeters and b) the ratio of the areas of the first
figure to the second? The figures are not drawn to scale.
(1 point)
(0 pts) and
(0 pts) and
(0 pts) and
(1 pt) and
0 /1 point
8. The area of a regular octagon is 35 cm2. What is the area of a regular octagon with sides eight times as
long?
(1 point)
(0 pts) 350 cm2
(0 pts) 280 cm2
(1 pt) 2,240 cm2
(0 pts) 1,600 cm2
1 /1 point
9. The triangles are similar. The figures are not drawn to scale.
If the area of the larger triangle is 280 "2, what is the area of the smaller triangle to the nearest whole
number?
(1 point)
(0 pts) 144 "2
(0 pts) 117 "2
(1 pt) 49 "2
(0 pts) 25 "2
0 /1 point
10. It costs a family $305.00 to buy a 11-"-by-14-" rug. If the cost is proportional to the area, what will it cost
the family to buy a 16-"-by-18-" rug?
(1 point)
(0 pts) $145.42
(1 pt) $570.39
(0 pts) $163.09
(0 pts) $288.00
1 /1 point
11. Two similar trapezoids have areas of 384 cm2 and 24 cm2. What is their ratio of similarity? (1 point)
(0 pts) 1:2
(0 pts) 1:4
(0 pts) 2:1
(1 pt) 4:1
0 /1 point
12. What is the area of a regular decagon (10 sides) with side length of 14.5 cm and apothem of 22.3 cm?
Round the answer to the nearest tenth.
(1 point)
(1 pt) 1,616.8 cm2
(0 pts) 1,701.0 cm2
(0 pts) 2,102.5 cm2
(0 pts) 3,235.4 cm2
0 /1 point
13. What is the area of a regular pentagon with a side of 10 in.? Round the answer to the nearest tenth. (1 point)
(0 pts) 96.3 in.2
(1 pt) 172.0 in.2
(0 pts) 344.1 in.2
(0 pts) 192.6 in.2
1 /1 point
14. What is the area of the triangle rounded to the nearest tenth? The figure is not drawn to scale. (1 point)
(0 pts) 16.3 m2
(0 pts) 13.9 m2
(1 pt) 8.1 m2
(0 pts) 5.9 m2
0 /1 point
15. Name the major arc and find its measure. (1 point)
(0 pts) ; 35°
(0 pts) ; 35°
(0 pts) ; 325°
(1 pt) ; 325°
0 /1 point
16.
What is the circumference of the given circle in terms of ? (1 point)
(0 pts) 15.4 cm
(0 pts) 3.85 cm
(0 pts) 11.55 cm
(1 pt) 7.7 cm
0 /1 point
17. What is the area of the circle in terms of ? (1 point)
(0 pts) 67.28 m2
(0 pts) 195.11 m2
(0 pts) 2.9 m2
(1 pt) 33.64 m2
1 /1 point
18. What is the area of the shaded portion of the trapezoid in the figure, in terms of ? The figure is not
drawn to scale.
(1 point)
(0 pts) (68 – 8 ) "2
(0 pts) (72 – 16 ) "2
(1 pt) (68 – 16 ) "2
(0 pts) (72 – 8 ) "2
1 /1 point
19. The area of sector AOB is 210.25 cm2. What is the exact area of the shaded region? (1 point)
(1 pt) (210.25 – 420.5) cm2
(0 pts) (210.25 – 841) cm2
(0 pts) (210.25 – 420.5 ) cm2
(0 pts) (210.25 – 841 ) cm2
0 /1 point