Chapters 3 and 4 Review Packet
Name
1. Enlarge this shape from the origin by a factor of 2.
TY
1.
2. Tyler has a triangle with sides 8, 14, and 20. Mandy and Eileen both think that they have triangles
that are similar to Jermaine's triangle. The sides of Mandy's triangle are 2, 3.5, and 5. The sides of
Eileen's triangle are 4, 10, and 16. Decide who, if anyone, has a triangle similar to Tyler's
triangle. Be sure to explain how you know.
Ty's/As
2.
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3.5
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Gwla Mar/dit.5 11s wee
T'y Ana Eilekin's AS
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3. Solve for the missing side length or angle below.
a.
b.
7 . 1.4
T: Z.
Ei.levr)'s
e.
15"
11 nu
It
to.v) Nor= 7-
-1-con (52)
6=M-57
z 1.Z5
bcco.use_
-t-i on a
4. For the points R (-2,
and P (2, 1) determine each of the following:
(-20)
a. The distance between the points.
7)
I z W2. -'1,-7.21
5Z
+(DI
b. The equation of the line RP
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2.
4 -
(2-P2-V
c. An equation of the line perpendicular to line RP and passing through point P.
17- k)(2-)
4-b
b-
5. Each pair of figures below is similar. Find the lengths of the sides that are marked with a variable.
a.
b.
C'
io
A'
3
3i
9 - (A)
w=
y= 5.25
v=
u= 19.05
,1-1
6. Solve each equation
a. x(x +5) = 300
x i+
b.
x +1 x
=
3
6
300
3x
3col.
20,x
-15)c
— I 5)( X -t-20) =• 0
3 )c
X- 151-Lo
x= 15,-2o
cvItcic...
15((sk-5)-
a) 0
-2.0E2.0 ts) • 306
X=
C Itt.c /C.
-23",
_2.
7. Find the perimeter and area of each figure.
a.
/6
b.
2.0 kfn
15 km
8 cm
.( . _?). __150
A, 22
Area -
c(0.,
9 cm
A= 29 --4-712_
150
Perimeter =
(9 0
8. Assume ABCD
Area ---
vI')
(0 0011
Perimeter = H
HfiG
. T. r.. L.,. . Solve for x.
C
D
H 16 I
14
B
28
A
J
9. Among the triangles below are pairs of similar triangles. Find the pairs of similar triangles and state
the triangle similarity condition that you used to determine that the triangles are similar.
0
LDEF-ILTLK APvDEF", GEH in
so-
AK—Ayvli\to
In
A Pri
10. Determine if the triangles below are similar. If they are similar, create a flow chart, if not explain
why.
G12
a.
b.
F
x
P.:
86°'
LE LB
Aso
yi0A- s'‘ •y►► 1 ay.
AG RI' is
in fltit arowi SSA 0.1Ylac
LIABCAVIDEF
CHS
cwfune SAS
AN%)
-IA +116 Cctryno- '00 6_,
c.
d.
T
130
5
\\
-1
46G1
:
113'-' LPQT
SS S'y
you (E
(AS( SAS tk,
11. For parts a and LI in problem 10, solve for x. Show your work.
a.
b.
E
F
3
9
X
0
x=
x=
/
12. Salvador has a hot dog stand 58 meters from the base of the Space Needle in Seattle. When Salvador
looks up at the top of the Space Needle, he measures the angle to the top to be 80°. Salvador's eyes
are 1.5 meters above the ground. Assuming that the ground is level between the hotdog stand and the
Space Needle, how tall is the Space Needle?
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0
5 a 01
I.5
- 31.S.
1.5
LS
I
330.H
13. You and your friend have just won a chance to collect a million dollars. You place the money in one
room at right and then your friend has to randomly walk through the maze. In which room should you
place the money so that your friend will have the best chance of finding the million dollars?
Draw a tree diagram.
BIZ
A
F(A)=-1414J_+.A,
2.
5
)9"
'/3
V-00 v1,1 ,D
j/3
14. Weston has 10 pairs of pants (4 black, 2 peach, 1 gray, and 3 cream), and he has 8 shirts (4 white, 2
red, and 2 black).
PeAv\
a.
-
•-
tiratty- p-ttfit•ksh4o-o=o4?-Create an area model to
show your work.
b. The closet light is burned out, so Weston must
randomly select a pair of pants and a shirt. What is
the probability that he will wear something black?
g t%i 9 42-c.
Op
yy
c
,r)
15 In a certain town, 45% of the population has dimples and 70% has a widow's peak. Use a probability
area model or a tree diagram to represent this situation.
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a. What is the probability that a randomly selected
person has both dimples and a widow's peak?
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c. S5
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F(Li ck ► ta
b. What is the probability that he or she will have
either dimples or a widow's peak?
p( c) ov
P(oavia4
t P(M--
D) ---
15-35
16. "Wheel of Fortune" got a new wheel. There are 6 slots worth $200, 5 slots worth $400, 2 slots worth
$600, 1 slot worth $1000, and 16 slots with no money. What are the expected winnings on one turn?
it
zoo(is)
eiO)(-1;) A
6eC)(23--,0
SO(
17. A class of geometry students completed a survey on what pets they like. The choices were: Cats,
Dogs, and Birds. Create a Venn diagram for this survey and answer the questions below.
2 people didn't like any pets
28 students liked Cats
19 students liked Dogs
15 student liked Birds
12 students liked Cats and Birds
8 students liked Cats and Dogs
4 students liked Dogs and Birds
2 students liked all three pets
a) How many people were surveyed?
Ho 1-2,4lo
b) What is the probabili the students don't like cats?
1'4
I
42_ c) What is the probability the students like cats or dogs?
30(
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2
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