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Dilations
By Jacqueline Turner
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Last updated almost 7 years ago
10 questions
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Move the cursors in the box below and get an understanding for what a 'dilation' is in geometry.
Below is a more formal version of a dilation. Let's take a closer look at exactly what is going on here!
Question 1
1.
The origin (0,0) has an effect on the size of the image.
True
False
Question 2
2.
What should we set k equal to if we want the image to be the exact same size as the preimage?
0
1
100
1/2
Question 3
3.
A dilation will result in an object congruent to the original.
Always
Never
Only when SF = 1
Question 4
4.
Which transformation changes the orientation (order of the letters) in the shape?
reflection
rotation
dilation
Translation
Question 5
5.
What does is it mean to have a dilation factor of 3 ?
The image is 1/3 of the size of the pre image
The pre-image is 3 times the size of the image
The image is 3 times the size of the pre image
They are both the same size of 3 units
Question 6
6.
Use a graphboard to model and answer the question.
Start with the point A(2, 3) and dilate the point by a factor of 4 about the origin (0,0).
What are the coordinates of A' which is the image under this dilation?
(1/2, 3/2)
(6, 7)
(4, 4)
Question 7
7.
Identify the Scale Factor
2
1/2
4
1
Question 8
8.
Identify the scale factor from the purple to black
5
1/5
2
10
Question 9
9.
Which type of transformation creates a similar but NOT congruent shape?
reflection
translation
dilation
rotation
Question 10
10.
Which type of transformation changes the location of the shape by turning the object
translation
reflection
rotation
dilation
(8, 12)