4.5 Dilations

​4.5 Dilations

​Nothing is IMPOSSIBLE, the word itself says "I'm Possible"

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Multiple Choice

The __________ is the ratio of a length of the new figure to the corresponding length on the original figure. #7

• reduction

• enlargement

• scale factor

• center of dilation

Multiple Choice

If the scale factor is k >1, the image will be __________ than the pre-image.

• Larger

• Smaller

Multiple Choice

When a dilation has a scale factor greater than one, the dilation is an enlargement.#5

• True

• False

Multiple Choice

State the coordinate of the image of the given point G (-10,-6) under a dilation with center at the origin with the given scale factor of 1/2. #8

• G' (5,3)

• G' (20,12)

• G' (-20,-12)

• G' (-5,-3)

Multiple Choice

Which could be the rule used to dilate ABC to A'B'C'?

(NOT ON THE PACKET)

• (5x, 5y)

• (3x, 3y)

• (1/3 x, 1/3 y)

• (2x, 2y)

Multiple Choice

What scale factor was used to produce the image?

Scale Factor=Image/Pre-image

• 2

• -2

• ¹/₂

• 1

Multiple Choice

Which of these are not preserved by a dilation? #16

• orientation

• side lengths

• parallelism

• angle measures

Here is an Example of the Center of Dilation in Perspective Drawing

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Multiple Choice

Where is the center of dilation? #15

• A'

• (0,0)

• A

• B

Multiple Choice

The center of dilation is important because.. (NOT ON THE PACKET)

• it's the location from which the dilation occurs.

• All of the corresponding points of the image and pre image are on the lines radiating from the Center of Dilation.

• it's a fixed point on the plane about which all points are expanded or contracted.

• All of the above

Multiple Choice

A dilation is given by the transformation (x, y) → (2.5x, 2.5y). What is the scale factor?

• 2.5

• 1/2.5

• This is not a dilation

• The scale factor cannot be determined

Multiple Select

The larger nail is a dilation of the smaller nail. Select ALL statements that are true. #31

• The scale factor of dilation is

  $$\frac{3}{4}$$

• The scale factor of dilation is $$\frac{4}{3}$$

• Point A is the center of dilation

• The Dilation is enlargement

• The dialation is reduction

Multiple Choice

State the coordinate of the image of the given point B (4,9) under a dilation with the center at the origin with the given scale factor of 2. #3

• B' (2 , 4.5)

• B' (-8 ,-18)

• B' (8 ,18)

• B' (9 ,4)

Multiple Choice

State the coordinate of the image of the given point G (-10,-6) under a dilation with the center at the origin with the given scale factor of 1/2. #8

• G' (5,3)

• G' (20,12)

• G' (-20,-12)

• G' (-5,-3)

Multiple Choice

Choose the correct scale factor: #14

• 2.5

• 1.5

• 3.5

• 4

Multiple Choice

Is this an enlargement or reduction? Find the scale factor! #17

• It's an enlargement; the scale factor is 1/2.

• It's an enlargement; the scale factor is 2.

• It's a reduction; the scale factor is 1/2.

• It's a reduction; the scale factor is 2.

Multiple Choice

A line segment is dilated by a scale factor of 2 centered at a point, not on the line segment. Which statement regarding the relationship between the given line segment and its image is true? #22

• The line segments are perpendicular, and the image is one-half of the length of the given line segment.

• The line segments are perpendicular, and the image is twice the length of the given line segment.

• The line segments are parallel, and the image is twice the length of the given line segment.

• The line segments are parallel, and the image is one-half of the length of the given line segment