Dilations
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by Jacqueline Turner
| 10 Questions

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!
1
1
The origin (0,0) has an effect on the size of the image.
True
False
2
1
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
3
1
A dilation will result in an object congruent to the original.
Always
Never
Only when SF = 1
4
1
Which transformation changes the orientation (order of the letters) in the shape?
reflection
rotation
dilation
Translation
5
1
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
6
1
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)
(8, 12)
7
1
Identify the Scale Factor

2
1/2
4
1
8
1
Identify the scale factor from the purple to black

5
1/5
2
10
9
1
Which type of transformation creates a similar but NOT congruent shape?
reflection
translation
dilation
rotation
10
1
Which type of transformation changes the location of the shape by turning the object
translation
reflection
rotation
dilation
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