G,SRT.7 WORKSHEET #4 GUIDE
What happens when the center of dilation is in, on, and out of a figure?
1. Outside
2. lnside
fl*"{'
BC}x&d'8''C?
4. Negative
Po.,a(AdBC)*Al
11
'
Brt'
:i
Determine the center of dilation and the scale factor.
G.SRT.1 WORKSHEET #4
NAME: _______________________________
1
1. What happens when the center of dilation is a vertex of the shape?
D
a) Dilate ∆ABC from C using a scale factor of 2
DC ,2 ( ∆ABC )
E
F
A
b) Dilate ∆DEF from D using a scale factor of 3
DD ,3 ( ∆DEF )
B
C
A
c) Dilate ∆ABC from A using a scale factor of 2
B
DA,2 ( ∆ABC )
D
d) Dilate ∆DEF from E using a scale factor of 3
C
DE ,3 ( ∆DEF )
E
F
2. What happens when the center of dilation is inside the shape?
a) Dilate ∆ABC from G using a scale factor of 3
A
DG ,3 ( ∆ABC )
B
G
D
b) Dilate ∆DEF from H using a scale factor of 2
C
DH ,2 ( ∆DEF )
H
E
F
D
A
c) Dilate ∆ABC from G using a scale factor of ½
D
G,
1
2
(∆ABC )
G
B
d) Dilate ∆DEF from H using a scale factor of
D
H,
1
3
H
1 ( ∆DEF )
3
C
F
E
G.SRT.1 WORKSHEET #4
2
3. What happens when the center of dilation is outside the shape?
A
G
a) Dilate ∆ABC from G using a scale factor of 2
DG ,2 ( ∆ABC )
B
C
D
b) Dilate ∆DEF from H using a scale factor of 2
DH ,2 ( ∆DEF )
E
F
H
D
c) Dilate ∆ABC from G using a scale factor of ½
D
G,
1
2
(∆ABC )
A
d) Dilate ∆DEF from H using a scale factor of
D
H,
1
3
G
1
3
E
C
( ∆DEF )
F
H
B
4. What happens when the scale factor is negative?
E
C
a) Dilate ∆ABC from G using a scale factor of -1
D
A
DG ,−1 ( ∆ABC )
H
b) Dilate ∆DEF from H using a scale factor of -½
D
H ,в€’
1
2
G
(∆DEF )
F
B
C
A
D
c) Dilate ∆ABC from G using a scale factor of-2
DG ,−2 (∆ABC )
B
d) Dilate ∆DEF from H using a scale factor of -1
DH ,−1 ( ∆DEF )
G
F
E
H
G.SRT.1 WORKSHEET #4
3
5. Work backwards to find the center of dilation, and also determine the scale factor.
a) Center (______ , _______)
Scale Factor = _____
b) Center (______ , _______)
Scale Factor = _____
C
C'
C'
4
4
C
A'
A'
A
A
2
2
B
B'
B'
5
5
B
c) Center (______ , _______)
Scale Factor = _____
d) Center (______ , _______)
C'
Scale Factor = _____
A
C
4
4
A'
2
2
B
C
C'
A'
A
B'
B
e) Center (______ , _______)
B'
5
Scale Factor = _____
f) Center (______ , _______)
5
Scale Factor = _____
B'
A
C
4
A
4
A'
C
C'
2
2
B
B'
A'
5
g) Center (______ , _______)
C'
B
5
Scale Factor = _____
h) Center (______ , _______)
Scale Factor = _____
C
C'
C
A
4
C'
4
A'
2
2
B
A
B'
B'
5
5
B
fr.r*r.,
woRKsHEEr #4
NAME:
1. What happens when the center of dilation is a vertex of the shape?
\ ('
a) Dilate AABC from C using a scale factor of 2
?\
Y
\
Dc,r(MBC)
%
W
F
E
<.
b) Dilate ADEF from D using a scale factor of 3
:
D\(LDEF)
fr
,
ry
Y
B
c
A
c) Dilate AABC from A using a scale factor of 2
DA,r(MBC)
w^
B
x
\
d) Dilate ADEF from
E
using a scale factor of 3
C
DE3(LDEF)
\
gl
1
tr
7
D
M
\
/
*-./
F
I
2. What happens when the center of dilation is
a) Dilate AABC from G using a scale factor of 3
DG.3(MBC)
b) Dilate ADEF from H using a scale factor of 2
DH,2(LDEF)
/
A
c) Dilate AABC from G using a scale factor of lz
DG.L(MBC)
d) Dilate ADEF from H using a scale factor of
D_
JMEF)
',,1
\
\rt
\ n
,
\ VF
lz
lv
,4
\ //,
,l
j
/
i-
\
\
/
/
ut
\
C
\
a/
,2
\
)
\
F
/-
H
\
E
G.SRT.7 WORKSHEET #4
3. What happens when the center of dilation is outside the shape?
ft(
G
a) Oilate AABC from G using a scale factor of 2
,ffi
DG,r(MBC)
c @
loef from H using a scale factor of 2
DH.Z(LDEF)
I
/, \
P\ \\
1 \' \ \
\
\
,\ n;
(\
b) oitate
NN
Au
N. E
o'
F
H
c) Dilate AABC from G using a scale factor of
D^
%
|(MBC)
<J,,
d) oilate
ADEF
from H using a scale factor of
]
D_ |(LDEF)
J
4. What happens when the scale factor is negative?
a) Oilate AABC from G using a scale factor of -1
Dc._IMBC)
b) Oitate ADEF from H using a scale factor of -%
Dtl ,_,,(LDEF)
c) oilate AABC from G using
{
a scale
factor of-2
,M M
I
ry
DG,_r(MBC)
B
d) Oilate
ADEF
from H using
a scale
n
ry
fl tt
G
A
factor of -1
DH,_|(LDEF)
-?4
A
--{
t
V
I
(
1
I
t.. .u
I
ct
,.%
d
ffi
F
H
il.
il.
r
.,/ G.sRr.
t
woRKsH
EET #4
5' work backwards to find the
center of ditation, and arso
determine the scare factor.
a)center(-)-, i ; scaleFactcrr
=
I I I I I t I i r ,
/
c)
center
L-.t , -i ,
scate Factor
=
3
b) Center
d) Center
f) Center
3
t-,-)
(
(-
,
)
(-,
Scale Factor =
Scale Factor =
-)
g)
center
( 6
t{ I
scate Factor
=
e
h) Center
(-
,
)
scate Factor
=
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