Suppose x is any positive number. Circle 1 has a center at (1, - 6) and a radius of 5x. Circle 2 has a center at (5, - 1) and a radius of 3x. Why is Circle 1 similar to Circle 2?
Circle 1 is a translation of 4 units left and 5 units down from Circle 2, and a dilation of Circle 2 with a scale factor of 35.
Circle 1 and Circle 2 have the same circumference, and the radius of Circle 1 is 35 times the length of the radius of Circle 2.
Circle 1 is a translation of 4 units left and 5 units down from Circle 2, and a dilation of Circle 2 with a scale factor of 53.
Circle 1 and Circle 2 have the same area, and the radius of Circle 1 is 53 times the length of Circle 2's radius.
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