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Lesson 6-5 Similarity Transformations: Dilations
Scale factors between 0 and 1
Scale factors greater than 1
Scale factors between 0 and 1
Scale factors greater than 1
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
Use a scale factor of 3
to dilate trapezoid KLMN
What are the coordinates
for point L?
(    ,    )
K
L
M
N
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
Use a scale factor of 3
to dilate trapezoid KLMN
What are the coordinates
for point M?
(    ,    )
K
L
M
N
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
Use a scale factor of 3
to dilate trapezoid KLMN
What are the coordinates
for point N?
(    ,    )
K
L
M
N
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
Use a scale factor of 3
to dilate trapezoid KLMN
What are the coordinates
for point K?
(    ,    )
K
L
M
N
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
Use a scale factor of 3
to dilate trapezoid KLMN
***Multiply both coordinates by 3.***
K
L
L (0, 2)
M
N
L' (    ,    )
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
Use a scale factor of 3
to dilate trapezoid KLMN
***Multiply both coordinates by 3.***
K
L
M (3, 2) → M' (    ,    )
L (0, 2) → L' (0, 6)
M
N
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
Use a scale factor of 3
to dilate trapezoid KLMN
***Multiply both coordinates by 3.***
K
L
N (3, -1) → N' (    ,    )
M (3, 2) → M' (9, 6)
L (0, 2) → L' (0, 6)
M
N
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
Use a scale factor of 3
to dilate trapezoid KLMN
***Multiply both coordinates by 3.***
K
L
N (3, -1) → N' (9, -3)
K (-2, -1) → K' (    ,    )
M (3, 2) → M' (9, 6)
L (0, 2) → L' (0, 6)
M
N
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
N (3, -1) → N' (9, -3)
K (-2, -1) → K' (-6, -3)
M (3, 2) → M' (9, 6)
L (0, 2) → L' (0, 6)
K'
GOOD JOB!
K
L'
L
N
M'
N'
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
Use a scale factor of ½
to dilate figure EFGH.
What are the coordinates
for point E?
(    ,    )
E
H
G
F
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
Use a scale factor of ½
to dilate figure EFGH.
What are the coordinates
for point F?
(    ,    )
E
H
G
F
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
Use a scale factor of ½
to dilate figure EFGH.
What are the coordinates
for point G?
(    ,    )
E
H
G
F
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
Use a scale factor of ½
to dilate figure EFGH.
What are the coordinates
for point H?
(    ,    )
E
H
G
F
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
***Divide both coordinates by 2.***
Use a scale factor of ½
to dilate figure EFGH.
E (0, 0) → E' (    ,    )
E
H
G
F
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
***Divide both coordinates by 2.***
Use a scale factor of ½
to dilate figure EFGH.
F (10, 0) → F' (    ,    )
E (0, 0) → E' (0, 0)
E
H
G
F
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
***Divide both coordinates by 2.***
Use a scale factor of ½
to dilate figure EFGH.
F (10, 0) → F' (5, 0)
G (10, 6) → G' (    ,    )
E (0, 0) → E' (0, 0)
E
H
G
F
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
***Divide both coordinates by 2.***
Use a scale factor of ½
to dilate figure EFGH.
H (0, 6) → H' (    ,    )
F (10, 0) → F' (5, 0)
G (10, 6) → G' (5, 3)
E (0, 0) → E' (0, 0)
E
H
G
F
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
GOOD JOB!
H (0, 6) → H' (0, 3)
F (10, 0) → F' (5, 0)
G (10, 6) → G' (5, 3)
E (0, 0) → E' (0, 0)
H'
E
H
E'
F'
G'
G
F
3 in
D
F
E
9 in
D'
F'
Find the scale factor:
(reduce)
ORIGINAL
IMAGE
E'
=
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
ORIGINAL
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
R
8
P
8
S
U
T
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