Uni+
'
I
l.
%
Revreto
- simiEar Figures
Given
*^rffi =#,find Bcro the nearesttentli,. The figure is notdrau'n to scale.
Y
t4
4---n1'
ltr:
--4,
-^.
(/\a :aq )
b.. 3.1
VJ
q r!_
:. =
4-
Ib
--
gx = Zz.q
y= A.l.j
X
c. io'g
d'
27'1
1
C
z.
A map has a scale or
apart are they orr the
"'-
;:* ,;;";'*""
L
L
3.
j
irrf., : ZB rniles. If the actual distance betrveen the two cities is 448 miles, liow far
map?
"1.
32
,-,>,8 inche)
inches (".
are 90o.) If not, explain
Are the two polygons sinrila.? (They are not drarvn to scale, but assume all angles
why.
EI
ll,'
ll
7@=*,*
=
nd\
5
a.
not enough information to tell
@N";fr*fr
4.
If hvo polygons are SIMILAR,
a. linear oairs
@ .orsrr.nt
,L
,X
d' 4 i,ches +. 5 =' #LlLl6
28
c.
d.
Yes
N";f*fi
then the corresponding angles must be
c'
d'
comPlementary
suPPlementary
,11
.
i -, :.i 'i
*--{
Os.
46.
a
If two polygons are sIMILAR, then the corresponding sides must be
c'.
a' simitar
b. congruent
Given th.at'&{8C
'.'"'--
-
fd. )
Parallel
ProPortional
LDEF, solve for: Pd y.
.',I
:'.
+,+
h
l=
x 3 8''15
L.
5l
l.)a
-<,
-,j
vi=ll .Z
t
x
11.2
x = 8.75,
, x^= 9.75,1= 10.2
F
=
9.75,
1= ll.2
x=8.75,f =
d.
10.2
..
O-
7. The triangles below are similar. Find x.
k
l1
a..49.4
b.
2.9
c.
,a
3t
b
130
t'{
"- {"
t-
\J,
z
l
ri
i,l
'lt
ti
r
(Iv
C
L
i(/
--i
R 8. Wtiich Lia1rg&isrlot similar to any of ttre others?
L
*
.Fwh
Which triangle below is not similar to any of fte others?
Io. which *i
i
^ W-lC
J-
h,
\li
Vd
, . ,t*_"...
-}
!
\
E{
iX,
}'
'.1
lr
li
ft
11. Two
x
ladder?
tadders are leaning against a wall at the same angle as shown. How tong is the shorter
\d
<q
3o
--?
to
b.
tr
12. Triangles LMN
c.
36ft
d.
22ft
x
8ft
utd NWR ate right triangles.
,'I,T
lil
lo.
crn
b
zvl
x
.
rV
6
tnt
K
iy
F
WhatfSfn-Xqngh
I4.4 cm I
./^.
L
tt
of .W-f
u.
15.6 cm
= ltt.Y
c.
2.5 cm
d.
l0 cm
on the ground 52
Karen wants to measure tlre height of the streettight outside her house. SIre places a mirror
in the mirror'
feet from the streetligh! then *"ttr backward until she is abte to see the top of the streetliglrt
the
of
the
height
is
Her eyes are 5.8 feet above the ground, and she is l4 feet from the mirror. What
streetlight to tlre nearest tenth of a foot?
a.
x
s;
b.
20.1
14.9
d.
125.5
s,8
t'l
X=rl .5
5.g
\z'
Y14
i(-,
One way to shorv that fwo triangles are similar is to shou, that
an angle of one is congruent to an angle of the other
*:-*gles of.one are congruent to two angles of the other
a side of one is congruent to a sida.of tlre other
tr+,o sides of one are proportional io t*,o sid"-qs of the other
L.
@
E
d.
I5-
Shown beiorv is an illustration of the
Er
fi
@
b.
o
sas
sim.itariry.Theorem
SSS
Sirr.iilffityTheorem
c.
d.
:
1.6. The postulate or theorem that can be used to prove that the two triangles are similar is
a.
b.
{u
SAS Congruence Theorem
;
:u tr#
L
AA Sinrilarity Postulate
fi.
ASA Congruence Theorem
SSS Sirni larity Theorem
c.
@
SAS Similarity Theorem
ee Similarity Poitulate
If the corresponding sides of trvo triangles are proportionat, then
the triangles are right triangles
a.
b.
corresponding side lengths are equal
the triangles are congruent
tlre triangles are similar
J)-
18. Given: pgl(C.Findthetengttr of Ae.
.la =
t>
c.
_fr
19.
Find the vatue
ofx to one decimat
L
t6
19
ptace.
ql' 9.
_
€x
a 2.3
.,
b.
20. lf MBC
-
2.2
c.
lo,l
,{
d.
0.5
22.5
\-/
LPBS,then which of the foltowing propo-rtions is NOT true?
'\--
.J
cr/
n
a.
PB PQ
AB AC
,D' APCQ
PB= eB
a
/
AC
c' W=
CB
gB
o#=#
\\-/
,,5Istimatetr,@ico1esightsthe-topotthecIaSsroomwautrtalllrrlvru1EEEr;,r
'(u oslrrrr'1L" L,v,e'rtu:-;;--::::;:';
Nicole is
'----^-- m --.^11
wall. \Ti^^Iaio
;-:-*^*^"c.^- tlr.
tlre base of the classroo:
has placed oa the g1""4 The mirror is 8-6 meters from
height
1'6 *re'ers' What is the approxirnate
standing 3.4 rreters fromthe minor, and.her height is about
of the classroom wall?
l,brP
8.br-
In AABC above, lvtN isparallel to BC. What is the length of MN
-
nn.,
l'b - ->
g,b
,.q
@
L,L
X b
t'q
ir=te
*uq
? (,,
c.4.2 d5
prism similar to the one shown below?
l-Wfrut are possibiEElmtiidions for a rectangular
t
-
,x3.
\
Ql(r: to
as)r*<'u
6
12 units by 8 units bY l0 units
18 units by 12 units bY 20 units
a)3
\-e.
8 "'lo:\z
aoJat"*o1o
units by 2 unit by 5 units
4 unitsty 2 uniti by 8 units
.g
"/a
e'. 3'. E
lE:zo
6 '. ?.' ,O
et:sib
g.
\ zt
z'.3:5-
.g
r':':'8
l: Ztl
l
The ratio
f 1. I'he perimeter of a rectangle is 36.I,lihat
of the le.ngths of the sides is 2:7.
iensths of the sides?
a*)4and.t4
\<
(D
@
2 and
12
@
(D
8 and 28
oZ*
tl r =jh
'
Sorb X=tSX'
?o"= I x
?5,
vmurrs theper'rmerer of
z\__rvrx
/\\€/
d#:E
d
Mec-
@
@
w
t1.4
121
@:# {*:#
^xvz
3
J;:
r:lb
A\Y
A-c
\-/
@1
7t<
triangles shown are similar. Whicb of the
T\?
iollowing is n.o, a coffect statement?
B
then rphat is the value cf x?
,^ ^l'
LL-/ J;
LT
I
lrL
fl?^
15
T.
o
G)3+
v"2\g
:
r:
ix
/,,,R
A
r
\1!/
6andi6
13.and 19
'"
ii14, -"5
aie rhe
*=?[?tb
@
t^
i- d#:#
8
7b,*u'is
3
101
2E
*,
6t,
cE?
lLo
6= Lo
i
L
@
@
n"fiu
o
''l*"'
tl.25
@25
L4
The two parallelograms shown are similar'
What are the values of x and y?
xo
fi4"
r;-*--
+6
{rtu
8
Ltt
Yy'hat is the value of x
in the figure showri?
20
@ x:
Ll4,y
:9 @
@ x:L!4,y:@
@ x:114,y:tO-]
x=
g
;'
66,y:3
-bw6
,nrlliii,
@s
r9-Zo'
@.6
@7
8Yt tt^E =2oX,
q? =lZX
x rB
ir
i
X,
8