Answer:
circle 1 is a dilation of circle 2 with a scale factor of 2.5.
Step-by-step explanation:
The radius of circle 1 is 5x and the radius of circle 2 is 2x.
This means the scale factor of the dilation is 5x/2x = 2.5.
Circle 1 is a dilation of circle 2 with a scale factor of 0.4.
Two figures are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.
Given that circle 1 has radius of 5x and circle 2 has radius of 2x, hence:
Circle 1 scale factor = 2x / 5x = 0.4
Hence:
Circle 1 is a dilation of circle 2 with a scale factor of 0.4.
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