Geo_Book_Answers

Answers to Exercises
31. 200
ft 63.7 ft 32. 8 m 25.1 m
48
33. The circumference is 360
2(45) 12;the
diameter is 12 cm.
34. False. 20° 20° 140° 180°. An angle with
measure 140° is obtuse.
35. true
36. false
D
37. true 38. true 39. true 40. true
41. False. (7 2) 180° 900°. It could have seven
sides.
42. False. The sum of the measures of any triangle
is 180°.
43. False. The sum of the measures of one set of
exterior angles for any polygon is 360°. The sum of
the measures of the interior angles of a triangle is
180° and of a quadrilateral is 360°. Neither is greater
than 360°, so these are two counterexamples.
44. False. The consecutive angles between the
bases are supplementary.
45. False. 48° 48° 132° 180°
46. False. Inscribed angles that intercept the same
arc are congruent.
47. False. The measure of an inscribed angle is
half the measure of the arc.
48. true
49. False. AC and BD bisect each other, but AC is
not perpendicular to BD.
D
A B
50. False. It could be isosceles.
51. False. 100° 100° 100° 60° 360°
52. false; AB CD
A
A
90
84 ANSWERS TO EXERCISES
B
C
B
C
90
65. (Chapter 6 Review)
D
C
53. False. The ratio of the circumference to the
diameter is .
54. false; 24 24
48 48 96
24 cm 24 cm
55. true 56. This is a paradox.
57. a 58°,b 61°,c 58°,d 122°,e 58°,
f 64°,g 116°,h 52°,i 64°,k 64°,
l 105°,m 105°,n 105°,p 75°,q 116°,
r 90°,s 58°,t 122°,u 105°,v 75°,
w 61°,x 29°,y 151°
58. TAR YRA by SAS, TAE YRE
by SAA
59. FTO YTO by SAA, SAS, or SSS;
FLO YLO by SAA, SAS, or SSS;
FTL YTL by SSS, SAS, or ASA
60. PTR ART by SSS or SAS;
TPA RAP by SSS, SAS, SAA, or ASA;
TLP RLA by SAA or ASA
61. ASA
62. mAC 84°, length of AC 11.2 35.2 in.
63. x 63°, y 27°, w 126°
64. sample answer:
65. See table below.
66a. The circle with its contents has 3-fold rotational
symmetry, the entire tile does not.
66b. No, it does not have reflectional symmetry.
67. 68. 9.375 cm
69. 70.
n 1 2 3 4 5 6 . . . n ... 20
f(n) 5 1 3 7 11 15 ... 9 4n ... 71
48 cm 48 cm
150
30