 Practice with Dilations Terms of Use    Contact Person: Donna Roberts  1.
Under the dilation shown at the right, the value of x will be:
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 15.5 18 21 24 2.
Stanley had a poster made from a picture of his dog Tasha. The poster image is eight times the size of the picture. If the poster image is 120 cm. in height, what was the height of Stanley's original picture of Tasha (in centimeters)?

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 10 cm. 12 cm. 15 cm. 20 cm. 3 A model ATV is 8 inches long. After a dilation, the model is 2.4 inches long. The scale factor for this dilation is ... Choose:
 3 2.4 0.4 0.3

4.
A dilation centered at O produces image A' as shown at the right. If the scale factor is k = 3, find OA'. Choose:
 3 9 27 36

5.
The diagram at the right shows a dilation of scale factor of ½. Which segment is parallel to ?

Choose:     6.
In a dilation, if the scale factor is greater than one, the dilation ...

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 is an enlargement. is a congruence. is a reduction. cannot be determined. 7.
A dilation centered at O is shown at the right. The image is ΔA'B'C'.
If OA = 12 units and
OA'
= 8 units, what is the scale factor of this dilation?

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 2    8.
Which of the following statements is NOT true?

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 Dilations create similar figures. Dilations preserve angle measure. Dilations may have a negative scale factor. Dilations on a coordinate axis are always centered at the origin.

9.
A dilation centered at O is shown at the right. The image is ΔA'B'C'.
If OA = 3 units and AA' = 6 units, what is the scale factor of this dilation?

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 2 3   10.
Which of the following properties is NOT preserved during a dilation?

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 angle measure orientation collinearity distance 11.
Which diagram shows a dilation with a scale factor between 0 and 1 where P' is the image of P ?

Choose:    12.
Which "rule" represents a dilation with center at the origin, O, on a coordinate axis?

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ΔABC has A(-2,-2), B(-1,2) and
C
(2,1). After a dilation centered at the origin, ΔA'B'C' has A'(-4,-4),
B'(-2,4) and C'(4,2).
What is the scale factor of the dilation?

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 -2 2 ½ -½ 14.
Rectangle ABCD is dilated to create image A'B'C'D'.

a) What is the center of the dilation?
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 origin A B C

b)
What is the scale factor?
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 2 3 ½ ¼ 15.
In which quadrant would the image of point (4,-5) fall after a dilation, centered at the origin, using a scale factor of -3?

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