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Proof That All Circles Are Similar

Geometry

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We can prove all circles are similar by showing that properties of the circles are in the same ratio. Fill out the blank in the proof below with the appropriate statement.

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A
B
r
R
Statement Reason
1. The radii of circle A and circle B are r and R, respectively.1. Given.
2. The ratio of the diameters is rR.2. 2r2R=rR.
3. The ratio of the circumferences is rR.3. ?
4. All circles are similar.4. The ratio of diameters and circumferences of circle A and circle B are equal each other.
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