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Write a rule about the distance from the center of dilation to the vertices of the pre-image and image.

(Hint: Your rule should include the phrase "scale factor")

Respuesta :

17zam

Answer:

If A is the distance from the center of the dilation to a vertex of the pre-image, and B is the distance from the center of the dilation to the corresponding vertex on the image, then B/A is the scale factor of the dilation.

Step-by-step explanation:

The rule about the distance from the center of dilation to the vertices of the pre-image and image is [tex](x,y) \to (kx,ky)[/tex]

Dilation

Dilation involves changing the size of a shape.

The rule

Assume the image is shape B, and the pre-image is shape A

Scale factor

The scale factor would be to divide the side length of the image, by the corresponding side length of the pre-image

So, the scale factor (k) is:

[tex]k = \frac BA[/tex]

Hence, the rule of dilation is:

[tex](x,y) \to (kx,ky)[/tex]

Read more about dilation at:

https://brainly.com/question/3381225