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What is a dilation used to create an image larger than the original?
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What are the coordinates of the image of the point (-412) under a dilation with a scale factor of 4 and the center of dilation at the origin?
If the original point was (-4, 12) then the image is (-16, 48).
Which sequence of transformation produces an image that is not congruent to the original figure?
A translation of 4 units to the right followed by a dilation of a factor of 2
Dilation is a transformation whose preimage and image are A. similar B. adjacent C. complementary D. congruent?
similar
What is the relationship between the vertices of a shape the scale factor and the center of dilation?
None. The vertices, the scale factor as well as the centre of dilation can each be defined independently of the other two. Each different combination will result in a different image.
What are the three transformations of math?
The 3 transformations of math are: translation, reflection and rotation. These are the well known ones. There is a fourth, dilation, in which the pre image is the same shape as the image, but the same size in the world
Why is a dilation not an isometry?
Because the image is not the same size as the preimage. To do a dilation all you do is make the image smaller or larger than it was before.
What is true about the resulting image of a scale factor 3 dilation?
The image is a similar shape to that of the original.
What type of transformation can change the size of an image from the original figure?
Dilation.
How do you find the scale factor of a dilation?
Image over preimage(original)
Describe the image of a dilation with a scale factor of 1?
With a scale factor of 1, the image is exactly the same size as the original object.
What are the coordinates of the image of the point (-412) under a dilation with a scale factor of 4 and the center of dilation at the origin?
If the original point was (-4, 12) then the image is (-16, 48).
Which of the following scale factors would produce a contraction under a dilation of the original image?
The answer is 0.5
How can you determine the scale factor of a dilation by looking at a segment and its image?
Every part of the original scales by the same scale factor. By using a segment of the original you will determine the scale factor by dividing the length of the image by the length of the original.
How do you find the scale factor of dilation?
The scale factor is the ratio of any side of the image and the corresponding side of the original figure.
What sets of transformations would create an image that is not congruent to its original image?
It is an enlargement
Which sequence of transformation produces an image that is not congruent to the original figure?
A translation of 4 units to the right followed by a dilation of a factor of 2
In a dilation the image is always similar to its pre-image?
Yes, it is.
