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What is the dilation of an image?

Updated: 9/17/2019
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Q: What is the dilation of an image?
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In a dilation the image is always similar to its pre-image?

Yes, it is.


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 transformation is not an isometry?

Dilation - the image created is not congruent to the pre-image


A transformation in which a figure and its image are similar?

Dilation


What are the coordinates for an image on a dilation with a center at the origin?

it is nothing


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).


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.


A photographer knows that the center of a camera lens acts as a center of dilation, where the image of an object forms behind the lens.Is the scale factor for this dilation negative or positive?

Negative


In geometry what is a dilation?

A dilation is a type of transformation that changes the size of the image. The scale factor, sometimes called the scalar factor, measures how much larger or smaller the image is. Below is a picture of a dilation with a scale factor of 2. This means that the image, A', is twice as large as the pre-image A. Like other transformations, prime notation is used to distinguish the image fromthe pre-image. The image always has a prime after the letter such as A' . resource: http://www.mathwarehouse.com/transformations/dilations/dilations-in-math.php