Free Printable Dilations Practice

1.

(x,y) → ( 1.2x , 1.2y )

a)

The scale factor is greater than 1 so the image will be bigger.

b)

The scale factor is between 0 and 1 so the image will be bigger.

c)

The scale factor is greater than 1 so the image will be smaller.

d)

The scale factor is between 0 and 1 so the image will be smaller.

2.

(x,y) → ( ⅔x , ⅔y )

a)

The scale factor is greater than 1 so the image will be bigger.

b)

The scale factor is between 0 and 1 so the image will be bigger.

c)

The scale factor is greater than 1 so the image will be smaller.

d)

The scale factor is between 0 and 1 so the image will be smaller.

3.

(x,y) → ( 0.2x , 0.2y )

a)

The scale factor is greater than 1 so the image will be bigger.

b)

The scale factor is between 0 and 1 so the image will be bigger.

c)

The scale factor is greater than 1 so the image will be smaller.

d)

The scale factor is between 0 and 1 so the image will be smaller.

4.

(x,y) → ( 7x , 7y )

a)

The scale factor is greater than 1 so the image will be bigger.

b)

The scale factor is between 0 and 1 so the image will be bigger.

c)

The scale factor is greater than 1 so the image will be smaller.

d)

The scale factor is between 0 and 1 so the image will be smaller.

5.

(x,y) → ( ⅙x , ⅙y )

a)

The scale factor is greater than 1 so the image will be bigger.

b)

The scale factor is between 0 and 1 so the image will be bigger.

c)

The scale factor is greater than 1 so the image will be smaller.

d)

The scale factor is between 0 and 1 so the image will be smaller.

6.

(x , y ) -> ( 3/2x , 3/2y )

a)

The scale factor is greater than 1 so the image will be bigger.

b)

The scale factor is between 0 and 1 so the image will be bigger.

c)

The scale factor is greater than 1 so the image will be smaller.

d)

The scale factor is between 0 and 1 so the image will be smaller.

7.

(x , y ) -> ( 0.5x , 0.5y )

a)

The scale factor is greater than 1 so the image will be bigger.

b)

The scale factor is between 0 and 1 so the image will be bigger.

c)

The scale factor is greater than 1 so the image will be smaller.

d)

The scale factor is between 0 and 1 so the image will be smaller.

8.

(x , y ) -> ( 4x , 4y )

a)

The scale factor is greater than 1 so the image will be bigger.

b)

The scale factor is between 0 and 1 so the image will be bigger.

c)

The scale factor is greater than 1 so the image will be smaller.

d)

The scale factor is between 0 and 1 so the image will be smaller.

9.

(x , y ) -> ( 0.75x , 0.75y )

a)

The scale factor is greater than 1 so the image will be bigger.

b)

The scale factor is between 0 and 1 so the image will be bigger.

c)

The scale factor is greater than 1 so the image will be smaller.

d)

The scale factor is between 0 and 1 so the image will be smaller.

10.

(x , y ) -> ( 12x , 12y )

a)

The scale factor is greater than 1 so the image will be bigger.

b)

The scale factor is between 0 and 1 so the image will be bigger.

c)

The scale factor is greater than 1 so the image will be smaller.

d)

The scale factor is between 0 and 1 so the image will be smaller.

11.

Which of the following dilations would create a larger image

a)

(x,y) → ( 4x , 4y )→

b)

(x,y) → ( 4 + x , 4 + y )

c)

(x,y) → ( ¼x , ¼y )

d)

(x,y) → ( 4 - x , 4 - y )

12.

Which of the following dilations would create a smaller image

a)

(x,y) → ( 4x , 4y )

b)

(x,y) → ( 4 + x , 4 + y )

c)

(x,y) → (¾x , ¾y )

d)

(x,y) → ( x + 4 , y + 4)

13.

Which of the following dilations would create a larger image

a)

(x,y) → ( 5/2x , 5/2y )

b)

(x,y) → ( x + 7 , y + 7 )

c)

(x,y) → ( 0.4x , 0.4y )

d)

(x,y) → ( ⅞x , ⅞y )

14.

Which of the following dilations would create a smaller image

a)

(x,y) → ( 5/2x , 5/2y )

b)

(x,y) → ( x + 7 , y + 7 )

c)

(x,y) → ( 1.4x , 1.4y )

d)

(x,y) → ( ⅘x , ⅘y )

15.

Which of the following dilations would create a smaller image

a)

(x,y) → ( 1.5x , 1.5y )

b)

(x,y) → ( 15x , 15y )

c)

(x,y) → ( 0.9x , 0.9y )

d)

(x,y) → ( x - 8 , y - 8)

16.

Which of the following dilations would create a larger image

a)

(x,y) → ( 1.5x , 1.5y )

b)

(x,y) → ( 10 + x , 10 - y )

c)

(x,y) → ( 0.9x , 0.9y )

d)

(x,y) → ( x - 8 , y - 8)

17.

Scale Factors can always be determines by which fraction

a)

$\frac{new\ '}{old}$

b)

$\frac{new}{old\ '}$

c)

$\frac{old}{new\ '}$

d)

$\frac{old\ '}{new}$

18.

Scale Factors can always be determines by which fraction

a)

$\frac{new\ '}{old}$

b)

$\frac{new}{old\ '}$

c)

$\frac{old}{new\ '}$

d)

$\frac{old\ '}{new}$

19.

Scale Factors can always be determines by which fraction

a)

$\frac{new\ '}{old}$

b)

$\frac{new}{old\ '}$

c)

$\frac{old}{new\ '}$

d)

$\frac{old\ '}{new}$

20.

The scale factor of 1/3 creates an image that is

a)

larger because the old value is 3 and the new value is 1

b)

smaller because the old value is 3 and the new value is 1

c)

larger because the old value is 1 and the new value is 3

d)

smaller because the old value is 1 and the new value is 3

21.

The scale factor of 3/8 creates an image that is

a)

larger because the old value is 8 and the new value is 3

b)

smaller because the old value is 8 and the new value is 3

c)

larger because the old value is 3 and the new value is 8

d)

smaller because the old value is 3 and the new value is 8

22.

The scale factor of 9/5 creates an image that is

a)

larger because the old value is 5 and the new value is 9

b)

smaller because the old value is 5 and the new value is 9

c)

larger because the old value is 9 and the new value is 5

d)

smaller because the old value is 9 and the new value is 5

23.

The scale factor of 4/7 creates an image that is

a)

larger because the old value is 7 and the new value is 4

b)

smaller because the old value is 7 and the new value is 4

c)

larger because the old value is 4 and the new value is 7

d)

smaller because the old value is 4 and the new value is 7

24.

The scale factor of 4/3 creates an image that is

a)

larger because the old value is 3 and the new value is 4

b)

smaller because the old value is 3 and the new value is 4

c)

larger because the old value is 4 and the new value is 3

d)

smaller because the old value is 4 and the new value is 3

25.

Which of the following will NOT preserve congruence?

a)

Dilation

b)

Translation

c)

Reflection

d)

Rotation

26.

Which of the following will NOT preserve congruence?

a)

Dilation

b)

Translation

c)

Reflection

d)

Rotation

27.

Which of the following will NOT preserve congruence?

a)

( x , y ) → ( ½x , ½y )

b)

( x , y ) → ( x + 3 , y + 3 )

c)

( x , y ) → ( -x , y )

d)

( x , y ) → ( -y , x )

28.

Which of the following will NOT preserve congruence?

a)

Dilation

b)

Translation

c)

Reflection

d)

Rotation

29.

Which of the following will NOT preserve congruence?

a)

( x , y ) → ( 5x , 5y )

b)

( x , y ) → ( x + ¾ , y + ¾ )

c)

( x , y ) → ( x , -y )

d)

( x , y ) → ( y , -x )

30.

Which of the following will NOT preserve congruence?

a)

( x , y ) → ( 0.8x , 0.8y )

b)

( x , y ) → ( x - 2 , y + 6 )

c)

( x , y ) → ( x , -y )

d)

( x , y ) → ( y , -x )

31.

If a dilation is represented by

( x , y ) → ( ax , ay )

Which statement is true

a)

If a > 1 the image will become larger

b)

If a > 1 the image will become smaller

c)

If a > 1 the image will become congruent

d)

Because its a dilation "a" cannot be greater than 1

32.

If a dilation is represented by

( x , y ) → ( ax , ay )

Which statement is true

a)

If a < 1 the image will become larger

b)

If a < 1 the image will become smaller

c)

If a < 1 the image will become congruent

d)

Because its a dilation "a" cannot be less than 1

33.

If a dilation is represented by

( x , y ) → ( ax , ay )

Which statement is true

a)

If a is negative the image will become larger

b)

If a is negative the image will become smaller

c)

If a is negative the image will become congruent

d)

In 8th grade, the scale factor "a" will never be negative

34.

A shape is dilated with a scale factor of 2.8 times each dimension. Which statement is true.

a)

The area of the shape is 7.84 times bigger.

b)

The area of the shape is 5.6 times bigger.

c)

The perimeter of the shape is 5.6 times bigger.

d)

The perimeter of the shape is 7.84 times bigger.

35.

A shape is dilated with a scale factor of 13 times each dimension. Which statement is true.

a)

The area of the shape is 13 times bigger.

b)

The area of the shape is 26 times bigger.

c)

The perimeter of the shape is 13 times bigger.

d)

The perimeter of the shape is 169 times bigger.

36.

A shape is dilated with a scale factor of 7.5 times each dimension. Which statement is true.

a)

The area of the shape is 56.25 times bigger.

b)

The area of the shape is 7.5 times bigger.

c)

The perimeter of the shape is 15 times bigger.

d)

The perimeter of the shape is 56.25 times bigger.

37.

Scale Factors can always be determines by which fraction

a)

$\frac{new\ '}{old}$

b)

$\frac{new}{old\ '}$

c)

$\frac{old}{new\ '}$

d)

$\frac{old\ '}{new}$

38.

Scale Factors can always be determines by which fraction

a)

$\frac{new\ '}{old}$

b)

$\frac{new}{old\ '}$

c)

$\frac{old}{new\ '}$

d)

$\frac{old\ '}{new}$

39.

Scale Factors can always be determines by which fraction

a)

$\frac{new\ '}{old}$

b)

$\frac{new}{old\ '}$

c)

$\frac{old}{new\ '}$

d)

$\frac{old\ '}{new}$

40.

Trapezoid A’B’C’D’ is the dilation of trapezoid ABCD.

Which algebraic representation shows this dilation?

a)

(x, y) → (2x, 2y)

b)

(x, y) → (0.5x, 0.5y)

c)

(x, y) → (x+2, y+2)

d)

(x, y) → (x-2, y-2)

41.

Choose the correct scale factor:

a)

(x, y) → (2x, 2y)

b)

(x, y) → (3x, 3y)

c)

(x, y) → (x+2, y+2)

d)

(x, y) → (x+3, y+3)

42.

Given that $\Delta ABC\sim\Delta FED$ which proportion must be true?

a)

$\frac{AB}{FE}=\frac{CA}{DF}$

b)

$\frac{CB}{FE}=\frac{CA}{DF}$

c)

$\frac{AB}{FE}=\frac{CB}{ED}$

d)

$\frac{BC}{FD}=\frac{CA}{DE}$

43.

Which proportion is true?

a)

$\frac{LM}{PQ}=\frac{NO}{RS}$

b)

$\frac{LM}{RS}=\frac{NO}{PQ}$

c)

$\frac{NM}{QP}=\frac{LO}{RP}$

d)

$\frac{LM}{PQ}=\frac{MO}{SR}$

44.

The garden is 15 yards long. It's then dilated by a scale factor of 3. If (x,y) represents the northwest corner of the original garden which representation represent the new northwest corner?

a)

(x,y) → ( 3x , 3y )

b)

(x,y) → ( 15x , 15y )

c)

(x,y) → ( x+3 , y+3 )

d)

(x,y) → ( x+15 , y+15 )

45.

A poster is 30 inches across. It's then dilated by a scale factor of 0.6 times each dimension. If (x,y) represents the top left corner of the original poster which representation represent the new top left corner?

a)

(x,y) → ( 3x , 3y )

b)

(x,y) → ( 15x , 15y )

c)

(x,y) → ( x+3 , y+3 )

d)

(x,y) → ( x+15 , y+15 )

46.

A model sky scraper is 1.2 feet tall.The actual building will be dilated by a scale factor of 200. If (x,y) represents the top of the tower which representation represents the new top of the tower?

a)

(x,y) → ( 200x , 200y )

b)

(x,y) → ( 1.2x , 1.2y )

c)

(x,y) → ( x+200 , y+200 )

d)

(x,y) → ( x+1.2 , y+1.2 )

47.

(x,y) → ( 3x , 3y )

a)

The image will be larger because the scale factor is greater than 1.

b)

The image will be larger because the scale factor is less than 1.

c)

The image will be smaller because the scale factor is greater than 1.

d)

The image will be smaller because the scale factor is less than 1.

48.

(x,y) → ( ⅝x , ⅝y )

a)

The image will be larger because the scale factor is greater than 1.

b)

The image will be larger because the scale factor is less than 1.

c)

The image will be smaller because the scale factor is greater than 1.

d)

The image will be smaller because the scale factor is less than 1.

49.

(x,y) → ( 1.4x , 1.4y )

a)

The image will be larger because the scale factor is greater than 1.

b)

The image will be larger because the scale factor is less than 1.

c)

The image will be smaller because the scale factor is greater than 1.

d)

The image will be smaller because the scale factor is less than 1.

50.

(x,y) → ( 0.3x , 0.3y )

a)

The image will be larger because the scale factor is greater than 1.

b)

The image will be larger because the scale factor is less than 1.

c)

The image will be smaller because the scale factor is greater than 1.

d)

The image will be smaller because the scale factor is less than 1.

Dilations Practice

Total questions: 50

Worksheet time: 30mins

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