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PreAlgebra: Dilations & Finding Scale Factor Worksheet

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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

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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

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A! C !

D !

C

A

D

B

B ! A!

C !D !

C

4

1

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2

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y

D

B

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D !

C

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Practice 4-5 Similarity Transformations

14

13

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32

32

"4"6 4 6x

y

"2

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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