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Honors Geometry
Name
Third Quarter Test Review Part
Date
Simplify.
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=
Solve for x.
a
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lb-X
21
Find the missing length indicated.
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1 \q- ''!
2v
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it
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Solve for x. The triangles in each pair are similar.
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112
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Period
State if the triangles in each pair are sirnilar.
similaritv
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statement. q
A
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If
so, state how you
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q
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r'
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Find the missing side of each triangle. Leave your answers in simplest radical form.
14" X"+ dfr
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n
18)
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11 cm
ir={lT{1
Find the missing length indicated. Leave your answer in simplest radical form.
le)
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lx
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20)
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n,
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x
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t\
t\
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15
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+ kJ :rC-m
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know they are similar and compl.r"
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'
Find the missing side lengths. Leave your answers as nadicals in simplest form.
2s)
xt3
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l-v;E
Nt
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LN
27)
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x
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30)
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of the indicated angle.
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LQ Iti+
^
Sln A= ;L5 =ilJF
32) cosX
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8tr.l f ' 6
\J
33) sinZ
lL-
,
Z-- Srn-'
34) cos Z
:
i
/ a\
t'€
)
Find the missing side. Round to the nearest tenth.
35).e'-"x
'
io
\--
\
Uln:a -- ?;
'|v
s*/
-7
' \c/
7-T
131
/
V
r
x'tOS'nss --\93-J
,
37)
36)
tan48"'
\/.
tz
tJ
ra
38)
T
A
2/l
'sz" l,
^ +,cn48o
10
-3-
Find the area of each.
3e)
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I ir-'a
40)
*i\'
-'")
1-=T'4
''\
,/ +.r,i '...\
,
= lZ ,Zrr: \
emifi,
\A
1.. ,
2.8 in
-_
41)
42)
.\
2.9 yd
2.4 yd
A- a h \:)'' 2t )
* -J.'- "'rlr,'1-'
f
4:)'
'J".-,-I
-
r-l
\n=Tt
r_"._".1 ,--J)
6
10.7 yd
5.8 yd
\
Find the area of each figure. Round your answer to the nearest tenth.
LOlt
43)
r.,1 ,"r
1.fi
a,,-'1 -'
-\)
-
J
\-L
44)
-* iv.;r-t
+.'r-"1 t- = [5
?--'3,(-p a,Q:tV =
g,lr&\=4
tRn t5'= .i\
a= 4lLnn'5"
perimeterl
gofi k= A
iltrr)t
a
l+on,e'i\r\tu,b*.,
-
Jv
4m
i
:
Find the missing measurement. Round your answer to the nearest tenth. Take care to use the correct
units.
A=
45)
'
lbh
46)
1qi,\-Lbtir?,5)
lq t. V -* =r" .7\ L)
?yd
\\.u-- ia,t ()n-c
49.7 m
Area:
Area:
791.3 yd2
13.8 yd
-4
954.2 m2
S"lonors Geometry
Name
Third Quarter Test Review Part2
Date
Period
So/ve each problem.
49. A blueprint uses a scale of 4.5 cm:15 km. lf the _ag-tual djme,nsiqn-s- o_f the project are 25 km and ']-.2 km,
what are the dimensions of the blueprint? \-1, : - I
' ,,
-'.
,-,,t
/
i-.,.,; l
,' -* -- ''(\- * .1 ",_
_.^,
_ ]
",* ",.,
..
= -,.1
',
.-"'tt
tti;
..'
50. The ratio of the perimeters of two similar figures is 15;45. What is their similarity ratio?
lo?
\'-":
51. The ratio of the areas of two similar figures is 144:256. What is their similarity ratio?
',
.-,.'- ("i'
:
l,)/
') -'
-f -''
t ','""
-"')
.
-) ''
X(-4,1,2),Y(-3,-15), and Z(2,12). What are the coordinates of the image after a
dilation with a scale factor of 3? What are the coordinate of the image after a dilation with a scale factor
52. AXYZ has vertices
or
I
,t
.
/ ,
)z
'-t.,".
*L-
; 't
'
't i*t..'
1 -:.
"t
53. A kitty cat is stuck in a tree on a branch that is 20 feet above the ground. He sadly is looking down at a
fireman at an angle of depression of 45". To the nearest foot, how far away from the base of the tree is the
,
fireman? I
..;:)
- l
-
\-
,,
i
1'
*-.. .:-
54. Dr. Evil is trying to escape lnspector Gadget's gadgets by boarding a helicopter at the top of a building that
is 150 feet tall. lnspector Gadget is on the ground 40 feet from the bottom of the building. He shoots his gogo-gadget arms to the top of the building from the ground. How long are his arms?
't2
/
:''^1\r-\
'.-_*}rtl"
Find
tiii
..
,'-..,_t',.,))
-*'J)
,,,--.
\'--
area for the fotlowing figures. Round to the nearest tenth
i-rtl
r:
56. A kite with dr
i
in
A.. -*-.,:1.;
dr=12cm
10 cm
12
if necessary.
and
dr:27in l- ' '
--- '
'-
'
'o
57. A triangle with sides a = 14 cm, b ;-1Ocnn andmt C: 38;
A' ',/'2t'^,.:. ';: , r :: { -,\,J:, , l::,
.:-*1.., _"..i
A"
equilateral
tria4gle
with
ft.
58. An
sideJ-ei-$fhS g.!;i-p
I
'..
{, '--1b I tr'=
(whole
:
-,-":
-:
---a -.)._
.a
59. A triangle with side lengths a=8 in, b = 12 in, and c = 17 in
:''
-1",,',-'1-''..'..,'=\i '
t't
,.i-
/
I
60. A trapezoid has an area of 216ftz with one base four more than twice the first base and height of 7ft. Find
'7ft
:; r.: i". " ;
\,r,i
* |r
Honors Geometry
Name
Quarter 3 Test Review
Period
Find each measurement indicated. Round your answers to the nearest tenth.
XS
1) Find HP
gtn{,ot llin lErl
K
\,
? srnk-r-*
X
---' -- *$nt4
I
---.
v
Find KP
er,
/\
J
\,
Y
/\
\m -l?-3
-'l
^_=q
___q]
-232
4) Find mzE
J
'ltv"?1
'r!y-rta0
l L"
t-i{
2)'Find XY
,
/
3531 Y1\\2'-tii 5I
,/\
i
a4o
v=al
,r
t
5) Find mzC
g
's\nc
trnc-"
-\
Jq.il'
8) Find XY
X2- l5*+ lQt
Z
T
y2 = t5*-r 14a "it5Y
-1r. l^(. lq.-l
lld-,1-!Jrvr
r
P -'l
C- 3rn ' LAr'S ;
.-
15
ffjh#
i't
zc
ln
\_- . ..
7) Find RS
C
fi '1
Ll
Lb''l
1r
A
ir
6) Find mzA
l$t
=
[Rs=Y=t*|
lqiicg
ICT "