For Exerciges5-6, study the sizeand shapeof the polygonsshownon the
grid below.
Si s 2 .3
I
I
-t-
il
I
I
I
I
*-t- -t-I
I
e}'**h"
Muttiple Choice Choosethe pair of similarfigures
D. Y a n d W
-r--C. X andY
B. U andT
A. Z andlJ
*5.
6. Frndanotherpair of similarfigures'How do you know they are
similar?T o..d Z
Bot}.
Fon Helpuridrtrercise6
Wcb€odc:art226
-
-
Ftt
Thir?
B\de \rt qrths
in T (Z o^a \) otG ,'.r.r\\ip\\rd
bd 2.
28. Use the grid for parts(a)-(c).
a. Whatpartof thegridis shaded?
O. b
*
,f
"r
b. If thegridshowsthepartof a panof spinach
left,how
appetizers
-1.5
manyservings
areleft if a servingis 0.M?O. b iO.e\t
Scnnn$3
c. Usethegrid pictureto confirmyour answer.
t
T
I
*
0.5
H
0.1
0.5
0.4
0.3
0.2
0.1
0.10203 o4 0s0.5
S + s 2.3
7. Copy the figures below accuratelyonto your own grid paper'
;i
i
il'
.-*-r"-'j'
.
'^i
"'.
T
)
I
._,L-*
a. Draw a rectanglethat is similar,but not identical,to the given
rectangle. A^s,rrets
b...rt \*.gkh
\o45
i..idth
b. Draw a triangle that is similar,but not identical,to thJgiven
triangre'
A^.*r
thO
y*r brr
rrrr.rt\\>e
SO.nc
}1: ! Fi$:.SLE
-1,.rl\r\
How do you know the figuies you drew are simila-rto the original
figures?
A\\ \engt\s
\
Unr
are r-.ryq\a\ied
Sa**/r
t
*r
ol\g\e8
rnrr\\.
.
sa,*e r
rnr.rt\ kle
eong'verd
SCo\e $a.c-\or.
19. A good map is similar to the placeit represents.Below is a map of
South Africa.
ffi ,Fffi
ffi
I
k
-
\
r/ swazurupl
' l }pH *r " o'
ffi*F'
CapcJbw,'o
X
''
\fT
.K",./
r
.rcurH
ArrucA
ffi
--
*tt**o,'n
*
,'o
1,
.o/
"L7*-rf
'/
,r*!
''7.*L!i,,b"d,
J
a. Use the scaleto estimate the distancefrom Cape Town to
Port Elizabeth. AbsJs
6b2 k,..
b. Use the scaleto estimatethe distancefrom Johannesburgto
East London. Atso*.lg -1(oO \<r.r
c What is the relationshipbetweenthe scalefor the map and a
"scalefactor"?tt tc\\S gor.r ,el\e\ \.o nu\tig\5$.e
\en1$hS
i^ t\e rr.ag \g Uo ga\ t\c
reo.\ .o,br\d dir\-q,rees.
Thir ir \i\ca Sco\slccko,
baccr.rrc \hatt
6lrorc \Sov
r"'tlUpt\!
teng\\r
r.o
tt-e. i'vrages \e'.gtJrr.
ge\
\5
ffiqFffi
.
ffi ryryryr'f
;€:IL:" 1
1:
' Ea'r'1?':'
bh\J
t
Sis 2. 3
8. Use the diagramof two similarpolygons.
45
45
FigureB
FigureA
on FigureB
Write a rule for findingthe coordinatesof a point
(
| . 6r , t. tg)
point on FigureA.
from the corresponding
on FigureA
b. Write a rule for findingthe coordinatesof a point
(
point on FigureB.
from the corresponding
t:" X 1 rft,5) ot
i. What is the scalefactorfrom FigureA to FigureB? I , 5
( 3 * , tg )
ii. Use the scalefactorto describehow the perimeterand areaof Dgri of A 'r t ,rr.i\' h\5\.5
FigureB are relatedto the perimeterand areaof FigureA.
ArO. o9 A i f s^ri\
\
2.Zb
( tr r \ic\tr
l.gr \. S) .
?
d. i. Whatis thescalefactorfromFigureB to FigureA?
t
ii. Usethescalefactorto describe
howtheperimeter
andareaof
FigureA arerelatedto theperimeter
andareaof FigureB.
Peri o$ B i s r,.si\
\
A"eo. o! B '.r a,o\\
\
12. On grid paper,draw a rectanglewith an areaof 14
squarecentimeters.
Label it ABCD.
t .o ga\\eci
A.
+ to gek f.rso,- A .
\t't
-4
a. Write and usea coordinaterule that will makea rectanglesimilar
to rectangle
ABCD that is threetimesaslongand threetimesas
( bx , 5g)
wide.Labelit EFGH.
\t colr\d be
t s^O tf
2\-1
b. How doesthe perimeterof rectangleEFGH comPareto the
ABCD?\ts t ipreA (U.rtt\3)
perimeterorr."t*gi"
to theareaof
EFGHcomPare
c. Howdoestheareaof rectangle
+'3*3
\ts
,r.u\\\P\cd
9,
ABCD?
rectangle
\
to parts(b) and(c) relateto thescalefactor
d. Howdo youranswers
from rectangleABCD to rectangleEFGH?
B-
3 \r t!.e Sco\cla,e-\or'
C- q '.t *e Sco\e, Fo'c\or
r.+,t\
itre$
\
oc
.
,