21.The four sides of the quadrilateral are the same length.
23.the sum of the measures of the angles of a polygon; the
number of sides of the polygon 25. a.square b.rhombus
c.trapezoid d.rectangle 27. a.90° b. 9 c. 18 d. 18
- a.42° b.95° 31. a. 9 b.70° c.110° d.110°
33.2,160° 35.3,240° 37.1,080° 39.1,800° 41. 5 - 7 45. 13 47. 14 49. a.30° b.30° c.60°
d.8 cm e.4 cm 51.40°; m(A) 90°, m(B) 150°,
m(C) 40°, m(D) 80° 53. a.trapezoid b.square
c.rectangle d.trapezoid e.parallelogram 55.540°
61.two hundred fifty-four thousand, three hundred nine
63.eighty-two million, four hundred fifteen
about 108 ft^2
1.perimeter 3.area 5.area 7.8 ft16 ft 128 ft^2
- a.p 4 s,p 2 l 2 w
- a. b.
c. d.
13.a rectangle and a triangle 15. a.square inch b.1 m^2
17.32 in. 19.23 mi 21.62 in. 23.94 in. 25.15 ft
27.5 m 29.16 cm^2 31.6.25 m^2 33.144 in.^2
35.1,000,000 mm^2 37.27,878,400 ft^2 39.1,000,000 m^2
41.135 ft^2 43.11,160 ft^2 45.25 in.^2 47.27 cm^2
49.7.5 in.^2 51.10.5 mi^2 53.40 ft^2 55.91 cm^2 57.4 m
59.12 cm 61.36 m 63.11 mi 65.102 in.^2 67.360 ft^2
69.75 m^2 71.75 yd^2 73.$1,200 75.$4,875 77.length
15 in. and width 5 in.; length 16 in. and width 4 in. (answers
may vary) 79.sides of length 5 m 81.base 5 yd and
height 3 yd (answers may vary) 83.length 5 ft and width 4 ft;
length 20 ft and width 3 ft (answers may vary) 85.60 cm^2
87.36 m 89. ft 91.36 m 93.x 3.7 ft,y 10.1 ft;
50.8 ft 95. 80 1 81 trees 97.vinyl 99.$361.20
101.$192 103.111,825 mi^2 105.51 sheets 111. 6 t
113. 2 w 4 115. 117. 9 r 16
1.radius 3.diameter 5.circumference 7.twice
- ,
- a.Multiply the radius by 2. b.Divide the diameter by 2.
17. 19.square 6 21.arc AB 23. a.multiplication:
b.raising to a power and multiplication: - 8 ft 25.1 ft 27. 12 m 37.7 m 29.50.85 cm
2 p r p r^2
OA, OC, OB DA, DC, AC ABC ADC
Study Set Section 9.8 (page 798)
5
8
x
28
1
3
b b
b b
Study Set Section 9.7 (page 786)
Think It Through (page 782)
31.31.42 in. 33. 9 in.^2 28.3 in.^2 35. 81 in.^2 254.5 in.^2
37.128.5 cm^2 39.57.1 cm^2 41.27.4 in.^2 43.66.7 in.^2
- 50 yd 157.08 yd 47. 6 in.18.8 in.
49.20.25mm^2 63.6 mm^2 51. a.1 in. b.2 in.
c. 2 in.6.28 in. d.in.^2 3.14 in.^2
53.mi^2 3.14 mi^2 55.32.66ft 102.60 ft
57.13 times 59. 4 ft^2 12.57 ft^2 ; 0.25ft^2 0.79 ft^2 ; 6.25%
65.90% 67.82.7% 69.5.375¢ per oz 71.five
1.volume 3.cone 5.cylinder 7.pyramid
15.cubic inches, mi^3 ,m^3 17. a.perimeter b.volume
c.area d.volume e.area f.circumference 19. a. 50
b. 21. a.cubic inchb.1 cm^3 23.a right angle
- 27 27.1,000,000,000 29.56 ft^3 31.125 in.^3
33.120 cm^3 35.1,296 in.^3 37.700 yd^3 39.32 ft^3
41.69.72 ft^3 43.6 yd^3 45. 192 ft^3 603.19 ft^3
47.3,150cm^3 9,896.02 cm^3 49. 39 m^3 122.52 m^3 - 189 yd^3 593.76 yd^3 53. 288 in.^3 904.8 in.^3
- cm^3 33.5 cm^3 57. 486 in.^3 1,526.81 in.^3
- 423 m^3 1,357.17 m^3 61.60 cm^3
- 100 cm^3 314.16 cm^3 65.400 m^3 67.48 m^3
69.576 cm^3 71. 180 cm^3 565.49 cm^3 - in.^3 0.125 in.^3 75.2.125 77. 63 ft^3 197.92 ft^3
- ft^3 33,510.32 ft^3 81. 8 1
- a.2,250in.^3 7,068.58 in.^3 b.30.6 gal 89. 42
91. 4 93. or 1 5 95.2,400 mm
1.points Cand D, line CD, plane GHI 2. a.6 units
b.E c.yes 3.ABC,CBA,B, 1 4. a.acute
b.B c. and d.48° 5.1 and 2 are acute,
ABDand CBDare right angles,CBEis obtuse,
and ABCis a straight angle 6.yes 7.yes
- a.obtuse angle b.right angle c.straight angle
d.acute angle 9.15° 10.150° 11. a.m(1) 65°
b.m(2) 115° 12. a.39° b.90° c.51° d.51°
e.yes 13. a.20° b.125° c.55° 14.19° 15.37°
16.No, only two angles can be supplementary. - a.parallel b.transversal c.perpendicular
18.4 and 6,3 and 5 19.1 and 5,4 and 8, 2
and 6,3 and 7 20.1 and 3,2 and 4,5 and
7, and 6 and 8 21.m(1) m(3) m(5)
m(7) 70°; m(2) m(4) m(6) 110°
BC
!
BA
!
Chapter 9 Review (page 811)
1
5
32,000
3
1
8
32
3
500
3
p
r
h
Base
s
Study Set Section 9.9 (page 806)
A-52 Appendix V Answers to Selected Exercises