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Dilations & Scale Factor
Con il contributo di: Ferrazzi
(Autore originale: Childress)
All transformations in this test are Dilations.
What is a Dilation?
Dilations
red or blue
enlarge or shrink
dog or cat
Dilations are changes caused by scale factors.
Dilated by a scale factor of 4 -->means •4
2
4
3
•4
8
16
Dilated by scale factor of  ⅓---->  means multiply by ⅓.
Note: Multiplying by ⅓ is the same as dividing by 3.
24
18
21
• ⅓
8
6
pre-image
(2,6)
Dilate a point by a scale factor of 5.
x5
x5
multiply the x by 5
multiply the y by 5
(10,
image
)
(4,-7)
pre-image
Dilate  by a scale factor of
(
image
,
3
)
(-9,-7)
pre-image
Dilate by a scale factor of
(
image
4
,
)
(8,10)
Dilate by a scale factor of
pre-image
(
1/2
image
,
)
Dilate by a scale factor of 
(20,36)
pre-image
(
1/4
image
,
)
Dilate by a scale factor of
(8,-2)
pre-image
(
6
image
,
)
Dilate by a scale factor of 
(24,42)
pre-image
(
1/6
image
,
)
(-4,-7)
pre-image
Dilate by a scale factor of 
(
image
,
2
)
Dilate by a scale factor of
(-15,30)
pre-image
(
1/5
image
,
)
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
B'
A'
C'
(
(
(
,
,
,
A
)
)
)
B
C
Dilate by k = 2
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
Dilate by k =1/2
B'
A'
C'
(
(
(
,
,
,
)
)
)
B
A
C
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
B'
A'
C'
(
(
(
,
,
,
B
)
)
)
A
Dilate by k = 3
C
3 in
D
F
E
9 in
D'
F'
Find the scale factor:
(reduce)
    PRE
IMAGE
E'
=
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
   PRE
IMAGE
Find the scale factor:
(reduce)
=
T
V
V'
T'
R'
S'
R
S
Find the scale factor:
Δ PSU is a dilation of Δ RST.
8
½
16
2
16
{
R
8
P
8
S
U
T
Translation
Rotation

Reflection

Dilation

Identify transformation that maps ▲DOG to ▲D'O'G'.

x-axis
y-axis
origin

ΔD'O'G' is a reflection of ΔDOG. What is the line

 of reflection?

Reflection
Dilation
Translation
Rotation

Identify the transformation that maps ΔD'O'G' to

ΔD''O''G''.

Identify the scale factor of the dilation of D'OG' to

D''O''G''.

½
2
¼
4
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