Download Chap 4 homework packet

Homework Worksheets: Chapter 4
Day#22: Problems #1 - 14
Choose the best answer for each multiple choice question
1.) COW  PIG . All of the following
statements are true except:
A.
B.
C.
D.
E.
OW  IG
C  P
OCW  IPG
GP  WC
none of the above
2.) If two angles in one triangle are congruent to
two angles in another triangle then
A. The triangles are equilateral.
B. The triangles are congruent
C. The third angles in both triangles are
congruent
D. The third angles in both triangles are not
congruent
E. The angles are acute.
3.) Which of the following is not true of an
isosceles triangle?
4.) A regular polygon has an interior angle of
1400. How many sides does it have?
A. Only opposite sides are congruent
B. Three sides are congruent
C. Only two angles are congruent
D. Opposite sides are congruent and angles
opposite them are congruent.
E. None of the above.
A.
B.
C.
D.
E.
5
8
9
10
none of the above
5.) If CAT  DOG then which of the following 6.) If MAT is equilateral all of the following
are true except:
is true
A.
B.
C.
D.
E.
AT  DO
ATC  ODG
AT  DG
ATC  OGD .
CT  DO
A.
B.
C.
D.
E.
MAT  60
MT  MA
ATM  TMA
MAT  90
M  A  T
7.) Obtuse triangles have _______ obtuse angles.
8.) Acute triangles have _______ acute angles.
A.
B.
C.
D.
E.
A.
B.
C.
D.
E.
0
1
2
3
not enough information to conclude
0
1
2
3
not enough information to conclude
l
1
l
1
2
3
2
m
4
m
Diagram refers to #9
Diagram refers to #10
9.) In the diagram above, 1  4 . Which of the
following does not have to be true?
10.) If l m , which statement must be true?
A.
B.
C.
D.
E.
3 and 4 are supplementary angles
l m
1  3
2  3
none of the above
A.
B.
C.
D.
E.
1  2
1 is the complement of 2
1 is the supplement of 2
1 and 2 are right angles
none of the above
11.) Simplify: 3x 2  5 x  9  2 x 2  3x
12.) Simplify: 5x2 y  7 xy  9 y  2 x 2 y  3xy
13.) Simplify: 2 x 2  2 x  9 x  2 x 2  3x  6
14.) Simplify:
4 x 2 y 2  5xy  8x 2  2 x 2  3xy  5x 2 y 2
HW #23: Problems #15 - 33 Choose the best answer for each multiple choice question
15.) All of the following are ways to prove
triangles congruent except?
16.) .) In XYZ , X  Y . If XZ  3a 1 ,
YZ  7a 11, and XY  5a , find XY.
A.
B.
C.
D.
E.
A. XY = 3
B. XY = 10
C. XY = 15
38
D. XY =
3
190
E. XY =
3
AAS
SSS
ASA
AAA
SAS
17 What postulate would you use to prove that the
two given triangles are congruent?
A
MT bisects AMH
and AM  HM
T
M
H
A. SSS
B. AAS
C. SAS
D. HL
E. ASA
For #19-33 Factor each expression
19.) 6m 2  8m
18.) The measure of each interior angle of a
regular polygon is 140˚. What kind of polygon is
it?
A.
B.
C.
D.
E.
a regular pentagon
a regular hexagon
a regular octagon
a regular nonagon
a regular decagon
20.) 5 x 2  4 x  2  x 2  2 x  6
21.) 2 x3  6 x 2  10 x
22). 3x3 y 2  3x 2 y  9 xy 2
23.) 5 x 4  25 x 2
24.) 3x 4  2 x3  5 x
25.) x 2  3x  7  3x 2  3x  5
26.) x 5  3 x 3
27.) 3x 2  12 x  96
28.) 2 x 3  14 x 2  20 x
29.) 7 x 3  28 x
30.) x3 y 2  5xy 2  4 y 2
31.) 3x 2  12  4 x  x 2  10 x  6
32.) 5 x  12  4 x 2  3  x 2  2 x
33.) 24 x3 y 2  8x3 y
HW#24 Problems #34- 47
34.) In ABC , A  B . Which of the
following must be true?
A. AB  BC
B. mA  mC
C. C  B
D. ABC is an equilateral triangle
E. AC  BC
36.) Find the complement and supplement of
each angle:
35.) What does CPCTC stand for?
38.) Factor: 2x2 - 50
37.) If A  F and B  G , what else is
needed to prove ABC  FGH by SAS?
A. AB  FH
B. BC  GH
C. CA  FH
D. BC  FH
E. AB  FG
39.) Factor: 3z2 - 27
40.) Factor: x2 - 400
41.) Factor: x2 - 81
42.) Factor: 16x2 - 81
43.) Factor : 18x2 - 50
44.) Factor: x2 + 36
45.) Factor: 4x2 - 100
46.) Factor: 16x2 - 400
47.) Factor : x2 - 64
a) 32˚
b) 3x
HW# 25 Problems #48 - 53
48.)
HEY  WIN . All of the following
statements are true except:
A.
B.
C.
D.
E.
HY  WN
E  I
EYH  INW
EH  IW
none of the above
49.) The measure of an exterior angle of a regular
polygon is 60˚. What is the measure of each
interior angle?
A.
B.
C.
D.
E.
45˚
60˚
90˚
120˚
180˚
50.) What postulate would you use to prove these
two triangles are congruent?
51.) What postulate would you use to prove these
two triangles are congruent?
E
E
B
B
F
F
D
D
A
A
*** F is the midpoint of EA and DB ***
*** DE  BA, DE BA ***
A.
B.
C.
D.
E.
A.
B.
C.
D.
E.
SSS
SAS
AAS
ASA
HL
SSS
SAS
AAS
ASA
Either AAS or ASA
52.) Factor: x2 – 11x + 18
53.) Factor and solve: x2 – 11x + 24
HW#27: Problems #54 - 61
54.) Write two equations and solve for x and y
using substitution or elimination.
55.) Complete the chart for regular polygons:
3x - y
2x + 3y
x + 3y
# of sides
Sum of
Exterior Angles
Each Exterior
Angle
Each Interior
Angle
Sum of Interior
Angles
8
90˚
120˚
9
56.) Which kind of triangles do you prove
congruent with HL?
A. Equilateral
B. Isosceles
C. Right
D. Equiangular
B. Acute
57.) What is needed to prove
HL?
A. BAC  DAC
B. BC  DC
C. ABC  ADC
A
D. AC  AC
E. AB  AD
ABC  ADC by
B
C
D
58.) Factor: 5 x 2  17 x  6
59.) Factor: 3x 2  20 x  7
60.) Factor: 7 x 2  20 x  3
61.) Factor: 5 x 2  16 x  3
HW #28: Problems #62 - 71
62.) Solve for x and y:
63.) When two lines intersect, they meet at ____.
1
1
11
x y 
2
3
6
2
1
23
x y 
3
4
6
A.
B.
C.
D.
E.
a plane
a point
a ray
a segment
a midpoint
64.) Three apples and four bananas cost Joe
$1.35. Two apples and three bananas cost Sara
$0.95. What is the cost of an apple? What is the
cost of a banana?
65.) All of the following postulates can be used
to prove that triangles are congruent except:
66.) Factor: 2 x 2  x  3
67.) Factor: 4 x 2  9 x  2
68.) Factor: x 2  8 x  16
69.) Factor: 2 x 4  162
70.) Factor: x 2  2 x  35
71.) Factor: 3x 2  18 x  27
HW #29: Problems #72 - 103
72.) In what quadrant is this point found?
A.
B.
C.
D.
E.
(-3, -5)
I
II
III
IV
Not enough information to conclude
A.
B.
C.
D.
E.
SSS
SAS
ITT
ASA
HL
73.) 1 and 2 are complementary.
m1  5x 15 and m2  10x . Find m1
A.
B.
C.
D.
E.
5
11
40
70
30
74.) Vertical angles are never:
A.
B.
C.
D.
E.
complementary
supplementary
right angles
adjacent
congruent
75.) 1 and 2 are congruent angles.
m1  10x  20 and m2  8x  2 . 1 is a(n)
_______ angle.
A.
B.
C.
D.
E.
acute
right
obtuse
straight
not enough info.
76.) Name the ways can you prove 2 triangles
congruent?
.
77.) What does CPCTC stand for?
78.) Solve:
79.) Get y alone:
2
 x  2  x  7
3
80.) Add:
81.) Subtract:
 3x
2
 5 x  1   7 x 2  x  8 
82.) Simplify:
 3x
84.) Distribute:
 5 x  1   7 x 2  x  8 
3x(4 x 2  5 x)  2 x(3x  6 x 2 )
85.) Distribute:
3x(7 x  8)
88.) FOIL:
2
83.) Simplify:
2(3x2  6 x)  5(2 x  x 2 )
86.) FOIL:
3x  4 y  7
(2 x  1)( x  5)
(3x  4)(2 x  3)
3xy(2x2 – 5y + 7)
87.) FOIL:
89.) FOIL:
(4 x  3)(2 x  1)
2 x( x  8)( x  3)
Justify each statement with a Geometry Rule (a specific definition, postulate, theorem, etc.)
D
90.) AX = AX
91.) AX + XE = AE
C
E

92.) mBXE + mEXF = 180
F
B
X
93.) If CX  DX , then CX  DX .
A
If XC bisects BXD, then
94.) If X is the midpoint of BF, then BX = XF.
96.)
mAXB + mBXC = mAXC.
95.)
mBXC 
97.)
mAXB  mEXF
1
mBXD.
2
98.) If BF  DX, then BXD is a right angle
99.) If BXC and CXD are complementary, then mBXC + mCXD = 90
100.)
102.)
If EX bisects DEF , then
mDXE  mEXF
If AE bisects BF, then X
is the midpoint of BF
101.) If X is the midpoint of BF , then BX =
103.)
1
BF
2
If BXE and EXF are supplementary,
then their sum is 180