Prove that the two circles shown below are similar.

The circles B and D are similar since the radius of the former is as twice as the radius of the latter.
By geometry we know that circles are defined by only one characteristic: radius. If two circles are similar, then the radii must be different. After a quick look at the figure, we conclude that the radii are [tex]r_{B} = 4[/tex] and [tex]r_{D} = 2[/tex]. Hence, the circles B and D are similar since the radius of the former is as twice as the radius of the latter.
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