
4.5 Dilations
Presentation
•
Mathematics
•
10th Grade
•
Easy
Standards-aligned
Larry Cooper
Used 10+ times
FREE Resource
18 Slides • 16 Questions
1
Nothing is IMPOSSIBLE, the word itself says "I'm Possible"
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12
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
13
Multiple Choice
If the scale factor is k >1, the image will be __________ than the pre-image.
Larger
Smaller
14
Multiple Choice
When a dilation has a scale factor greater than one, the dilation is an enlargement.#5
True
False
15
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)
16
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)
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18
Multiple Choice
What scale factor was used to produce the image?
Scale Factor=Image/Pre-image
2
-2
1/2
1
19
Multiple Choice
Which of these are not preserved by a dilation? #16
orientation
side lengths
parallelism
angle measures
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​
22
Multiple Choice
Where is the center of dilation? #15
A'
(0,0)
A
B
23
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
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27
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
28
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
43
The scale factor of dilation is 34
Point A is the center of dilation
The Dilation is enlargement
The dialation is reduction
29
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)
30
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)
31
Multiple Choice
Choose the correct scale factor: #14
2.5
1.5
3.5
4
32
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.
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34
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
Nothing is IMPOSSIBLE, the word itself says "I'm Possible"
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