MGF 1106 UNIT 3 HOMEWORK
GEOMETRY – Chapters 8 and 9
9.1 POINTS, LINES, PLANES AND ANGLES
Problems 5-20, 45-70, and 75-86
9.2a POLYGONS-TRIANGLES AND ANGLES
Problems 3, 15-22, 29-34, and the Angle Worksheets
9.2b POLYGONS-PARALLELOGRAM PROPERTIES AND ANGLES
Problems 2, 7-12, 23-28, 35-46
9.2c POLYGONS-SIMILAR SHAPES
Problems 5-6, 47-68, and Indirect Measure and Similar Triangle Worksheets
8.1 METRIC SYSTEM - BASIC TERMS AND CONVERSIONS
Problems 23, 24, 33-50, 63, 65, 67, 69
9.3A PERIMETER AND AREA OF POLYGONS
Problems 5, 6, 7, 9-14, 19-22
NOTE: Check Answers on answer sheet for 9.3 and 9.4 – not back of book
9.3B CIRCLES, ODD SHAPES AND SURFACE AREA
Problems 15 – 18, 23, 24, 26, 27, 28, 41, 45, 51
Also, On section 9.4 determine the SURFACE AREA for problems 7 and 8
NOTE: Answers should be left in terms of  -see answer sheet for 9.3 and 9.4 not back of book
9.4 VOLUME
Section 9.4 Problems 7-18, 20, 37, 41, 43, 46
NOTE: Answers should be left in terms of  -see answer sheet for 9.3 and 9.4 not back of book
Practice Test
***REMINDER*** On-line homework due the day of the test.
Selected answers from the text:
Assignment 9.1 - 6) Two angles the sum of whose measure is 180º are called supplementary angles. 8) An
angle whose measure is 180º is a straight angle. 10) An angle whose measure is less than 90º is an acute
angle. 14) Half open line segment, AB. 16) Ray, AB 18) Half line, BA. 20) Ray, BA , 46) straight,
48) acute, 50) none, 52) right, 54) 1º, 56) 46 2/3º, 58) 89.99º, 60) 172º, 62) 0.01º, 64) 115 9/16º, 66) b 68) f
70) a 76) angles 1, 4, 7 measure 30º, 2, 3,5, 6 measure 150º 78) angles 2, 4, 5 measure 120º, 1, 3, 6, 7
measure 60º, 80) m 1  11, m 2  79 82) m 1  79, m 2  11 , 84) m 1  146, m 2  34 , 86)
m 1  25, m 2  155
Assignment 9.2a - 16a) Isosceles, b) Acute 18a) Isosceles, b) Right, 20) a) Scalene, b) Acute, 22a)
Scalene, b) Right, 30) 58º 32) 65º,
m 1  90 , m 2  50 , m 3  130 , m 4  50 , m 5  50 , m 6  40 ,
34)
m 7  90 , m 8  130 , m 9  140 , m 10  40 , m 11  140 , m 12  40
(see below for angle worksheet answers)
Assignment 9.2b - 8a) Triangle, b) Regular, 10a) Octagon, b) Not regular, 12a) Pentagon, b) Regular, 24)
Rectangle, 26) Trapezoid, 28) Square, 36) 1260º, 38) 1440º, 40) 1800º, 42a) 90º, b) 90º, 44a) 140º, b)
40º, 46a) 162º, b) 18º
16
25
12
10
, 50) x  , y  , 52) x=0.5, y=0.4, 54)
, 56) 4, 58) 30, 60)
5
12
5
3
84º, 62) 68º, 64) 6, 66) 50º, 68) 110º
Assignment 8.1 - 24a) 100, b) 0.001, c) 1000, d) 0.01, e) 10, f) 0.1, 34) 3570, 36) 70, 38) 0.00134, 40)
14270, 42) 62, 44) 7300mm, 46) 0.0024km, 48) 6.049m, 50) 0.000034 l
Assignment 9.2c - 48) x  4, y 
Answers for 9.3
5. 35in2
Answers for 9.4
6.
9 2
ft
2
7.
35 2
cm
2
9. A= 105 ft2
P= 44 ft
10. A= 35 in2
P= 26 in
11. A= 6000 cm2
P= 654 cm
12. A= 36 ft2
P = 24 ft
13. A= 288 in2
P= 74 in
14. A= 132 in2
P= 48 in
15) 49π in2, 14π in
16) 2500π cm2 , 100π cm
17)
81 2
π ft , 9π ft
4
18) 169π mm2, 26π mm
7. 27 ft3
10. 864  in3
13. 2400 in3
15.
16.
17.
18.
8. 72 ft3
11. 42  cm3
14. 384 in3
9. 48  in3
12. 200  ft3
243
 cm3 or 121.5 cm3
2
1372
 or 457.33  cm3
3
1573
or 524.33 cm3
3
585 3
ft or 292.5 ft3
2
19) 9 in, 36 in, 54 in2 20) 13 ft, 30 ft, 30 ft2
21) 26 cm, 60 cm, 120 cm2
22) 36 m, 90 m, 270 m2
23) 7π cm2
24) (100 – 25π) m2
2
26) 8 ft
27) (116 – 16π)in2
2
28) (25π – 48) m
41) $3239.50, $4889.50
45) $2908.80
51) 103.94 ft.
Section 9.4 surface area problems
7) 54 ft2 8) 114 ft2
20.
900 in3
37.
a. 28750 in3
b. 16.64 ft3
a) The container with the larger diameter
holds more.
b. 188.50 in3
82944000 ft3
2 yd3 , $65.90
Angle worksheet : A→T – answers in degrees
A. 45, B 69, C 40, D 60, E 105, F 66, G 60,
H 45, I 60, J 70, K 80, L. 20, M. 95,
N 115, O. 125, P. 110, Q. 111, R. 37,
S. 49, T. 54
Angle worksheet: A→L – answers in degrees
A. 50, B. 60, C. 57, D. 143, E. 93, F. 81, G. 50,
H. 61, I. 40, J. 21, K. 116, L. 132
Indirect Measurement Worksheet
Similar Triangles Worksheet
1.
2.
3.
4.
5.
6.
7.
8.
1.
2.
3.
4.
5.
D, E, F, DE, EF, DF
Z, W, V, ZV, ZW, UV
d
b
x=7
z=5
x = 24
z= 26
Skip
20
41.
43.
46.
xy = 20
CE = 24/5 BC = 15/2
BE = 9
DE = 10 FG = 15
AB = 6
DC = 5