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PreAlgebra: Dilations & Finding Scale Factor Worksheet
Show your work!!! 1. 2. 3.
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7. Scale Factor is _______ 8. Scale Factor is _______ 9. Scale Factor is _______
Name Class Date
Practice Course 3 Lesson 4-5 257
© P
ears
on E
duca
tion,
Inc.
, pub
lishi
ng a
s Pe
arso
n Pr
entic
e H
all.
All
righ
ts r
eser
ved.
Graph the coordinates of the quadrilateral ABCD. Find thecoordinates of its image A9B9C9D9 after a dilation with the givenscale factor.
1. A(2, !2), B(3, 2), C(!3, 2), D(!2, !2); 2. A(6, 3), B(0, 6), C(!6, 2), D(!6, !5);scale factor 2 scale factor
Quadrilateral A9B9C9D9 is a dilation of quadrilateral ABCD. Find thescale factor. Classify each dilation as an enlargement or a reduction.
3. 4. 5.
6. A triangle has coordinates A(!2, !2), B(4, !2), and C(1, 1).Graph its image A9B9C9 after a dilation with scale factor .Give the coordinates of A9B9C9, and the ratio of the areas of thefigures A9B9C9 and ABC.
32
A
D
BB !
A! C !
D !
C
A
D
B
B ! A!
C !D !
C
4
1
8
2
"4"6 4 6x
A
y
D
B
B !
A!C !
D !
C
"2
"4
"6
"2 2
6
4
2
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y
"2
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"2 2
6
4
2
OO"4"6 4 6x
y
"2
"4
"6
"2 2
6
4
2
12
Practice 4-5 Similarity Transformations
14
13
94
32
32
"4"6 4 6x
y
"2
"4
"6
"2 2
6
4
2
O
Name Class Date
Practice Course 3 Lesson 4-5 257
© P
ears
on E
duca
tion,
Inc.
, pub
lishi
ng a
s Pe
arso
n Pr
entic
e H
all.
All
righ
ts r
eser
ved.
Graph the coordinates of the quadrilateral ABCD. Find thecoordinates of its image A9B9C9D9 after a dilation with the givenscale factor.
1. A(2, !2), B(3, 2), C(!3, 2), D(!2, !2); 2. A(6, 3), B(0, 6), C(!6, 2), D(!6, !5);scale factor 2 scale factor
Quadrilateral A9B9C9D9 is a dilation of quadrilateral ABCD. Find thescale factor. Classify each dilation as an enlargement or a reduction.
3. 4. 5.
6. A triangle has coordinates A(!2, !2), B(4, !2), and C(1, 1).Graph its image A9B9C9 after a dilation with scale factor .Give the coordinates of A9B9C9, and the ratio of the areas of thefigures A9B9C9 and ABC.
32
A
D
BB !
A! C !
D !
C
A
D
B
B ! A!
C !D !
C
4
1
8
2
"4"6 4 6x
A
y
D
B
B !
A!C !
D !
C
"2
"4
"6
"2 2
6
4
2
O
"4"6 4 6x
y
"2
"4
"6
"2 2
6
4
2
OO"4"6 4 6x
y
"2
"4
"6
"2 2
6
4
2
12
Practice 4-5 Similarity Transformations
14
13
94
32
32
"4"6 4 6x
y
"2
"4
"6
"2 2
6
4
2
O
Name Class Date
Practice Course 3 Lesson 4-5 257
© P
ears
on E
duca
tion,
Inc.
, pub
lishi
ng a
s Pe
arso
n Pr
entic
e H
all.
All
righ
ts r
eser
ved.
Graph the coordinates of the quadrilateral ABCD. Find thecoordinates of its image A9B9C9D9 after a dilation with the givenscale factor.
1. A(2, !2), B(3, 2), C(!3, 2), D(!2, !2); 2. A(6, 3), B(0, 6), C(!6, 2), D(!6, !5);scale factor 2 scale factor
Quadrilateral A9B9C9D9 is a dilation of quadrilateral ABCD. Find thescale factor. Classify each dilation as an enlargement or a reduction.
3. 4. 5.
6. A triangle has coordinates A(!2, !2), B(4, !2), and C(1, 1).Graph its image A9B9C9 after a dilation with scale factor .Give the coordinates of A9B9C9, and the ratio of the areas of thefigures A9B9C9 and ABC.
32
A
D
BB !
A! C !
D !
C
A
D
B
B ! A!
C !D !
C
4
1
8
2
"4"6 4 6x
A
y
D
B
B !
A!C !
D !
C
"2
"4
"6
"2 2
6
4
2
O
"4"6 4 6x
y
"2
"4
"6
"2 2
6
4
2
OO"4"6 4 6x
y
"2
"4
"6
"2 2
6
4
2
12
Practice 4-5 Similarity Transformations
14
13
94
32
32
"4"6 4 6x
y
"2
"4
"6
"2 2
6
4
2
O
Name Class Date
Practice Course 3 Lesson 4-5 257
© P
ears
on E
duca
tion,
Inc.
, pub
lishi
ng a
s Pe
arso
n Pr
entic
e H
all.
All
righ
ts r
eser
ved.
Graph the coordinates of the quadrilateral ABCD. Find thecoordinates of its image A9B9C9D9 after a dilation with the givenscale factor.
1. A(2, !2), B(3, 2), C(!3, 2), D(!2, !2); 2. A(6, 3), B(0, 6), C(!6, 2), D(!6, !5);scale factor 2 scale factor
Quadrilateral A9B9C9D9 is a dilation of quadrilateral ABCD. Find thescale factor. Classify each dilation as an enlargement or a reduction.
3. 4. 5.
6. A triangle has coordinates A(!2, !2), B(4, !2), and C(1, 1).Graph its image A9B9C9 after a dilation with scale factor .Give the coordinates of A9B9C9, and the ratio of the areas of thefigures A9B9C9 and ABC.
32
A
D
BB !
A! C !
D !
C
A
D
B
B ! A!
C !D !
C
4
1
8
2
"4"6 4 6x
A
y
D
B
B !
A!C !
D !
C
"2
"4
"6
"2 2
6
4
2
O
"4"6 4 6x
y
"2
"4
"6
"2 2
6
4
2
OO"4"6 4 6x
y
"2
"4
"6
"2 2
6
4
2
12
Practice 4-5 Similarity Transformations
14
13
94
32
32
"4"6 4 6x
y
"2
"4
"6
"2 2
6
4
2
O