ConnectedMath 7
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( Si S Rev\e\r-)
ExploringSimilarFigures
Name
Date
t\/r\/Oq
Use the triangles below to answer the following questions.
Whichanglecorresponds
to LA?
Z.D
Which anglecorresponds
to LB?
/L
Which anglecorespondsto LC?
LY
Doeseachangleandits corresponding
anglehavethe samemeasurement,Gr
NO?
\_/
Whichsidecorresponds
to AB?
DE
Which sidecorresponds
to CB ?
tr E
Which sidecorresponds
to eC ?
DF
What is the ratio of sideAB lengthto the lengthof it corresponding
side?
2, , y5
:
What is the ratio of sideBC lengthto the lengthof it corresponding
side?
Z, ='/ s
What is the ratio of sideAC lengthto the lengthof it corresponding
side?
What arethe ratiosequalto in lowestterms?
Areall threeratios.o*6)0,
No?
What is the scalefactorof AABCto ADEF?
yt
u/r, = ,/S
Tell if the ligures are simillr. H.theyare, write a similarity statementusingthe symbol
for similars -s abd givethe scale'factorfrom the smaller polygonto the larger one.
If they are not similar, explainwhy.
14'
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16.
trTABCD - 13 Y Z Q J X
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c
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o
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{,J.J, J{ ./7 --
t 7 . SupposeACAI{ - AJOY. lf mLA =96o, mZN = 460 and mLC = 38o, then
mLY -
,.,
\6
o
- - o
, mLJ= 38
and mLO= qb
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ConnectedMath 7
t
Name
-.
ProblemSolvingwith SimilarFigures
Date
...-.../Find the missingsidelengthsin eachpair of similar figures.
I.
AABC- AYYZ
2.
A
AABC- Ltr{Z
A
sF 2 . 5
)<= \5
ss2
1= 25
3. AABC- AXYZ
A
4.
A
z
30
AABC- AXYZ
v
Str t.z
x
r = t5.G
$=G
sFZ
1: l-1 1,= B
5. AJKL - AGKH
K
6.
AABC - AADE
D
B
3
A
.[\
4 CE
*_1
sr 2.s
g = '1.5
x-- to
\uo z ^ a \, L .._ 1
A photographmeastningfour incheswide andfivp inetrea.longis enlargedto makea
wall mural. If the mural it l2p incheswide, how long is the mural?
{ 3o
LPng
5',^.
-
t?o
13O i-,.
ia
Vvil4-
r)6
A flagnle castsa shadow2g feetlong, A pefgn standingnearbycastsa shadoweight
f."r 6"9. If thepersonis six feettall, howtall is the flagpole?
F\c.1
?<t*^
( oI
@
Dr l-.
-.g2,8Ft_
,t Fr
I|=
lV
x 3.5
A giratreis 18feettall andcastsa shadowof 12feet" Corry castsa shadowof 4 feet
How tall is Corry?
G..oll.
@
l8
--\
$t
tZ Ft
I
-l
L---
a\Ft
#
l3
A tree with a heightof 4m castsa shadow15 m longon the ground.How highis anothertreethat
castsa shadowwhichis 20 m long?(drawa diagramand solve)
\ rec,
A
J-
53*
or 5.3
n^
20 "..'
x te
castsa shadow0'6 m long' lf the stickis 1.2 m
A towercastsa shadow7 m long.A verticalstick solve)
'?\'i-"'a'
the towef (drawa diagramand
;iil;;filgrt-is
s ,r.c,\'
aos.lq
z
rtti
,^ I
f^l
-\'a\
tall.Howlongis Brad'sshadow?(draw
A tree 24leettaltcastsa shadow12feei b'ni. er"a is 6 feet
a diagramand solve)
lre,e,
B"o.d
L+
Qr-
x
t2 tt
A telephonebooth that is 8 ft tall castsa
shadowthat is 4 ft long- Find the heightof a
lawn ornamenttbat castsa 2 ft shadow.
Bod\
I36;"4*-k
-)Lr
Bh | <
1|t
2I'r
r A 6 ft tall tent standingnext to a cardboard
box castsa 9 ft shadow. If the cardboard
box castsa shadowthat is 6 ft long then how
tall is it?
-\e".\
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qlt
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