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# Geometry Math Question

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Suppose x is any positive number. Circle 1 has a center at  (−2, −3) and a radius of 4x. Circle 2 has a a center of(0, −4) and a radius of 5x.

Why is circle 1 similar to circle 2?

Circle 1 is a translation of two units left and one unit up from circle 2 and a dilation of circle 2 with a scale factor of 0.8.

Circle 1 and circle 2 have the same circumference, and circle 1 is a dilation of circle 2 with a scale factor of 1.25.

Circle 1and circle 2 have the same area, and circle 1 is a dilation of circle 2 with a scale factor of 0.8.

Circle 1 is a translation of two units left and one unit up from circle 2 and a dilation of circle 2 with a scale factor of 1.25.

May 15, 2017

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I think the correct answer is the first one:

" Circle 1 is a translation of two units left and one unit up from circle 2 and [circle 1 is] a dilation of circle 2 with a scale factor of 0.8 "

May 15, 2017
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That was correct, thank you!

CrazyDaizy  May 15, 2017