Download Chap 7 homework packet

Homework Worksheets: Chapter 7
HW#36: Problems #1-17
1.) Which of the following in an example of an
undefined term:
2.) Identify the converse of the given statement.
A.
B.
C.
D.
E.
A. If ABC has one obtuse angle, then it is an
obtuse triangle.
B. If ABC does not have one obtuse angle, then it
is not an obtuse triangle.
C. If ABC is not an obtuse triangle, then it does
not have one obtuse angle.
D. If ABC is an obtuse triangle, then it has one
obtuse angle.
E. None of the above.
ray
segment
line
skew
angle
If ABC is an obtuse triangle, then
it has one obtuse angle.
3.) Identify a counterexample to the given
statement.
All quadrilaterals are equilateral.
A. square
B. rectangle
C. rhombus
D. hexagon
E. Both A and C
4.) A regular polygon has 10 sides. Find the sum
of the measures of the interior angles.
x 1 2x  3

then x =
x 3
2x
9
9
5
A.
B. -9
C. 
D.
5
5
9
E. not enough information to conclude
6.) Similar polygons have the same______ but not
necessarily the same_________.
7.) The given statement is true. Which other
statement must be true?
If a = b, then x  y .
A. If x  y , then a = b. B. If a  b , then x = y.
C. If a  b , then x  y . D. If x = y, then a  b .
E. If a = b, then x = y.
8.) Quadrilateral ABCD is a parallelogram. If
consecutive angles are congruent, which statement
must be true?
5.) If
A. 36˚
D. 1440˚
B. 144˚
E. 1800˚
C. 360˚
A. sides; angles B. ratios; proportions
C. angles; sides D. proportions; ratios
E. not enough information to conclude
A. ABCD is a square
B. ABCD is a rectangle
C. ABCD is a rhombus D. ABCD is a trapezoid
E. ABCD is an isosceles trapezoid
For #9-11, reduce.
9.)
2 8
4
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For #12-17, solve for x:
10.)
5  125
10
11.)
3  72
6
12.) 2 x 2  8 x  42  0
15.) 2 x 2  x  6
13.) 3 x 2  75
16.) 5 x 2  6 x  1  0
14.)
x 2  20   x
17.) 6 x 2  7 x  5
HW #37: Problems #18 - 30
18.) If ABC and XYZ are two triangles such
AB BC

that
, which of the following would be
XY YZ
sufficient to prove that the triangles are similar?
A.
B.
C.
D.
E.
19.) Quadrilateral MNOP is a parallelogram.
Name the property of parallelograms that justifies
the statement:
NO = PM
A. Opposite sides of a parallelogram are
congruent.
B. Opposite angles of a parallelogram are
congruent.
C. Diagonals of a parallelogram bisect each
other.
D. Opposite sides of a parallelogram are parallel.
E. Consecutive sides of a parallelogram are
congruent.
A   X
B   Y
C  Z
X  Y
none of the above
20.) Which triangles must be similar?
21.) Find each quantity for a regular hexagon:
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
Sum of Exterior Angles:
Each Exterior Angle:
Each Interior Angle:
Sum of Interior Angles:
For #22-24,Write the equation of a line in slope
intercept form given:
23.) Contains the points ( -2, 5)
2
22.) Slope =
and contains and ( 3, -4)
3
the point ( -6, 4)
24.) Has an x-intercept of 3 and
a y-intercept of -4.
For # 25-27 Write the equation of a line in standard form given:
25.) Slope = -2 and contains
the point ( 4, -5)
26.) Contains the points
( -3, 5) and ( 2, -1)
27.) Is perpendicular to
1
y   x  3 and contains the
2
point ( 3, -4)
For #28-30, simplify:
28.)
 2 6 3 10 
29.)
4 3
2
 2 5   3 2 
2
30.)
2
HW #38: Problems #31 – 45
31.) Given: AB and CD intersect at point E;
1  2
32.) What is the value of x in the figure?
130
A
2x
C
3
D
2
E
4
1
B
A. 20
B. 25
C. 45
D. 50
Which of the following can be used to prove that
AED BEC ?
A. AA
B. SSS
C. ASA
D. SAS
E. none of the above
33.) The supplement of an right angle is a(n)
__________ angle:
34.) Which quadrilateral is equiangular but not
equilateral?
A.
B.
C.
D.
E.
A.
B.
C.
D.
E.
obtuse
acute
right
straight
not physically possible
35.) Which of the following facts would be
sufficient to prove that triangles ABC and DBE
are similar?
A
A. CE and BE are
D
congruent
B. ACE is a right angle
C. AC and DE are
B
C
E
parallel
D. A and B are
congruent
E. none of the above
rectangle
rhombus
square
trapezoid
parallelogram
36.) All of the following proportions are correct
except:
a c

B.
b d
a c

C.
D.
d b
a
c

E.
ab cd
A.
a
b
c
d
For questions 37-45, solve each using quadratic formula.
37.)
38.) 3 x 2  39 x  108
2
5 x  16 x  84  0
a b

c d
d b

c a
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39.) 4 x 2  9  12 x
40.) x 2  4 x  60
41.) 4 x 2  3x  2  0
42.) 9 x 2  1  6 x
43.) 6 x 2  x  2
44.) 4 x 2  25
45.) x 2  x  0
HW#39: Problems #46 – 61
46.) Solve for x and y:
y
47.) Solve for b:
x
11b + 9
10a - 1
12a - 9
15b - 39
120
48.) What coordinates of A make ABCD a
rhombus?
y
A
D(a,b)
B(c + 3a, 3b )
49.) If a triangle has sides with lengths 12, 15, and
20, what kind of triangle is it?
A. acute
B. obtuse
C. right
D. equilateral
E. None of these
C (c, b )
x
A. (a + c, 3b)
B. (c, 3a + 3b)
C. (4a, 3b)
D. (a + c, a + b)
E. (a, b)
50.) Which of the following best describes a
counterexample to the assertion below:
Two lines in a plane always intersect in exactly
one point.
51.) Pentagon FGHJK is congruent to pentagon
PQRST. Which side is congruent to FK ?
A. PQ
B. QR
A.
B.
C.
D.
E.
coplanar lines
parallel lines
perpendicular lines
intersecting lines
none of the above
52.) A right triangle’s hypotenuse has length 5.
If one leg has length 2, what is the length of the
other leg?
C. ST
D. PT
53.) What is the value of x in the triangle below?
B
x
A. 2
B. 3
C. 21
D. 29
E. 7
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x
A
A.
B.
C.
D.
E.
C
10
5
5 2
10 3
10
20
54.)
55.) From which given information can you
conclude that RSTW is a parallelogram?
l
1
A. RS WT , RS  ST
2
m
B. RS  ST , RW  WT
C. RS WT , RW  ST
If l m , which statement must be true?
A.
B.
C.
D.
E.
D. RZ  TZ , SZ  WZ
1  2
1 is the complement of 2
1 is the supplement of 2
1 and 2 are right angles
none of the above
For #56 – 61. Solve each using the quadratic formula
56.) x 2  3x  4  0
57.) x 2  7 x  6  0
58.) x 2  4 x  2  0
59.) 4 x 2  4 x  1
60.) 3x 2  4 x  7
61.)
HW#41: Midterm Review
Name: ________________
8.) Complete the chart for regular polygons:
6
# of sides
Sum of exterior angles
8
For questions 1-4, find the value of the variable(s).
1.
2.
(7x+37) 
3y
4x
(5x-10)
(4x+4)
(5y-80) 
3.
m LMN  140
4.
P
L
(2x+2)
(11x-9) 
(x+1) 
(5x+5)
M
N
1
j
4
5
k
8
5.) 2 and 6 are ____________________
angles and their measures are _______________.
If m2  7 x  6 and m6  9x  20 , solve for x,
m2 and m6 .
2
3
6
7
j k
Diagram refers to #5-7
6.) 5 and 4 are _____________________
7.) 3 and 5 are __________________ angles
angles and their measures are _______________. and their measures are __________________. If
If m5  13 y  23 and m4  4 y  16 , solve for m5  150  2a and m3  12a  10 , solve for
a, m5 and m3 .
y, m5 and m4 .
72°
Each exterior angle
Each interior angle
Sum of interior angles
9.) Find the equation (in slope-intercept form) of
the line that has a slope of -4 and passes through
the point (-3, 1).
1260°
10.) Find the equation (in standard form) of the
line that is perpendicular to y = 2x – 5 and passes
through the point (-3, 1)
11.) In XYZ , X  Y . If XZ  3a 1,
YZ  7a 11, and XY  5a , find XY.
12.)
ABC is equilateral. If mA  2 x  y and
mB  4 x  y , solve for x and y.
13.) PQRS is a parallelogram; solve for the
variables.
14.) A trapezoid and its median is shown. Solve
for x:
R
Q
64
y
32
3x + 2
x
a
b
P
144°
7
2x + 4
5
20
2x + 1
S
15.) Write the converse, inverse, and contrapositive of the statement below. Then state whether each
statement is true or false.
“If a quadrilateral is a square, then it has four right angles.”
Converse: ________________________________________________________ True or False?
Inverse: ________________________________________________________ True or False?
Contrapositive: ________________________________________________________ True or False?
16.) Given: F is the midpoint of EA and DB
E
B
Prove: A  E
F
D
A
Statements
Reasons
1.)
1.)
2.)
2.)
3.)
3.)
4.)  _______   _______
4.)
5.)
5.)