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You can transform circle F to circle F' by translating it and then performing a dilation centered at F'. Find the translation rule and the scale factor of the dilation

You can transform circle F to circle F by translating it and then performing a dilation centered at F Find the translation rule and the scale factor of the dila class=

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facundo3141592

The translation is 8 units to the right and 5 units downwards, and the scale factor is k = 0.8

How to find the transformations used?

First, we have a translation that goes from F to F', to identify it, we need to find the centers of the two circles.

F = (-5, 4)

F'= (3, -1)

To get the translation we take the difference between the two centers:

F' - F =  (3, -1) - (-5, 4) = (8, -5)

So the translation moves 8 units to the right and 5 units downwards.

To get the dilation we need to find the quotient between the radius of F' and the radius of F.

This is:

k =  4/5 = 0.8

So the scale factor is 0.8

If you want to learn more about transformations:

https://brainly.com/question/4289712

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