Download Chap 8 homework packet

Chapter 8 Homework Packet
HW #1 (Problems #1-14)
1.) A right triangle’s hypotenuse has length 5. If 2.) What is the value of x in the triangle below?
one leg has length 2, what is the length of the
B
C
10
other leg?
x
A. 2
B. 3
C. 21
D. 29
E. 7
x
A
A.
B.
C.
D.
E.
3.) In the figure below, what is the sum of
a+b+c
5
5 2
10 3
10
20
4.) A regular polygon has 10 sides. Find the sum
of the measures of the interior angles.
a
b
c
A. 180
B. 240
C. 270
D. 360
E. It cannot be determined from the given
information
5.) The figure below is not drawn to scale:
A
B
C
I only
II only
III only
II and III only
I, II, and III
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36˚
144˚
360˚
1440˚
1800˚
6.) A stone pathway forms the diagonal of a
square garden. One side of the garden is 40 ft. How
long is the pathway?
D
If AB > CD, which of the following must be
true?
I. AB > BC
II. AC > BD
III. AC > CD
A.
B.
C.
D.
E.
A.
B.
C.
D.
E.
A.
B.
C.
D.
E.
40 ft
40 2 ft
46 3
80 ft
20 ft
7.) In XYZ , mX  5a  5, mY  4a  6 ,
and mZ  11a  1. How would you classify
XYZ ?
A.
B.
C.
D.
E.
acute
right
obtuse
equilateral
isosceles
8.) What type of triangle is
6, 12, and 14?
A.
B.
C.
D.
E.
ABC whose sides are
acute
obtuse
right
equilateral
isosceles
9.) Solve by factoring: 4 x 2  4 x  15  0
10.) Solve by the quadratic formula:
11.) Solve by the quadratic formula
12.) Solve by the quadratic formula
3x 2  6 x  5
6 x  11x  35
3x 2  x  4
13.) Solve by the quadratic formula.
14.) Solve by the quadratic formula.
2
2
2x  5  8x
x2  2 x  6
HW #2 (Problems #15-28)
15.) Find each quantity for a regular octagon:
16.) Which of the following lengths can
represent the sides of a right triangle?
Sum of Exterior Angles:
Each Exterior Angle:
Each Interior Angle:
Sum of Interior Angles:
A.
B.
C.
D.
E.
17.) Which triangles must be similar?
18.) Find the exact length of x.
A. two obtuse triangles
B. two scalene triangles with congruent bases
C. two right triangles
D. two isosceles triangles with congruent vertex
angles
E. not enough information to conclude
A.
B.
C.
D.
E.
19.) A triangle has angle measures of 2x +8,
3x + 5, and 6x + 2. What are the measures of the
angles from smallest to largest?
A. 30, 58, 92
C. 38, 50, 92
E. 35, 46, 99
B. 33, 47, 100
D. 38, 52, 90
1, 2, 3
3, 4, 5
5, 6, 7
6, 8, 10
Both B and D
10 2
10 3
5 2
5 3
5
10
30 
x
20.) Which quadrilateral has congruent diagonals?
A. trapezoid
C. rhombus
E. kite
B. parallelogram
D. square
21.) Solve by factoring: 3x 2  x  10
22.) Solve by factoring: 6 x 2  23x  7
23.) Solve by quadratic formula:
24.) Find the values of the variables:
2
2 x  4 x  7
y
5 2
60
x
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For #25-28, simplify each expression as much as possible.
25.) 2 27  5 33
26.) 4 20  3 45
27.) 3 18  72
28.)
90  2 160
HW #3 (Problems #29-40)
29.) If a = 3 3 in the right triangle below, what is 30.) The measure of each interior angle of a
regular polygon is 140˚. What kind of polygon is
the value of b?
it?
a
A. 9
A. a regular pentagon
B. 3 3
B. a regular hexagon
b
c
C. 6 3
C. a regular octagon
D. a regular nonagon
30
D. 12 3
E. a regular decagon
E. 18
31.) In the triangle below, if sin y 
4
, what is
5
32.) In the figure below, AC  DF , A  D .
F
C
cosx?
y
3
A.
4
5
C.
4
4
E.
5
3
B.
5
4
D.
3
A
x
D
E
Which addition information would be enough to
prove that ABC  DEF ?
A. AB  DE
B. AB  BC
C. BC  EF
D. BC  DE
E. Not enough information
33.) Find the value of x to the nearest tenth.
A. 10.0
B. 7.0
C. 3.9
D. 3.6
E. 5.2
B
70 
10.6
x
35.) Solve by the quadratic formula:
2
2x  4x  7  0
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34.) The hypotenuse of an isosceles triangle is 6
feet long. What is the length of one leg?
A.
B.
C.
D.
E.
6 2
3 2
12
24
6
36.) Solve by factoring: 2 x 2  10 x  48
37.) Simplify:
12  32
39.) Simplify: 3 20  15
38.) Simplify:
40.)
2 5
27
88
11
HW #4 (Problems #41-52)
41.) In the figure below, if sin x 
5
, what are
13
42.) What postulate would you use to prove that
the two given triangles are congruent?
cosx and tanx?
A
T
M
x
H
12
5
, tan x 
13
12
12
12
cos x  , tan x 
13
5
13
5
cos x  , tan x 
12
12
13
13
cos x  , tan x 
12
5
Cannot be determined
A. cos x 
B.
C.
D.
E.
43.) Which is the greatest in
A. sin A
B. cos C
C. tan A
D. tan C
E. cos A
A.
B.
C.
D.
E.
MT bisects AMH
and AM  HM
SSS
AAS
SAS
HL
ASA
44.) What values of a and b make quadrilateral
MNOP a parallelogram?
ABC ?
21
4
6
13
3a - 2b
8
4a + b
A. a  1, b  5
C. a 
11
34
, b
7
7
B. a  5, b  1
D. a 
34
11
, b
7
7
E. a  13, b  21
45.) Find the value of x to the nearest tenth.
x
18
20 
A. 8.7
B. 16.9
C. 6.2
D. 6.6
E. 18.0
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46.) Find the exact length of x.
A.
B.
C.
D.
E.
20
20
10
10
40
2
3
2
3
20
30 
x
47.) Solve by factoring: x 2  6 x  16  0
48.) Solve by factoring: 12 x 2  5 x  2
49.) Solve by the quadratic formula:
50.) Solve by the quadratic formula:
x2  6 x  2
2
2 x  x  15
51.) Simplify:
6 18
24
52.) Simplify: 7 48  3 27