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anonymous

  • one year ago

Circle C has a center of (-3, 1) and a radius of 4. Circle E has a center of (4, 9) and a radius of 3. Prove that the two circles are similar.

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  1. anonymous
    • one year ago
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    @andrearchat

  2. anonymous
    • one year ago
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    @teagirl7630

  3. Mertsj
    • one year ago
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    All circles are by definition similar because they all have the same shape but not the same size.

  4. anonymous
    • one year ago
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    how do i prove they are similar though?

  5. Mertsj
    • one year ago
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    Prove that all the radii have the same ratios.

  6. anonymous
    • one year ago
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    how do i do that?

  7. anonymous
    • one year ago
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    @Mertsj

  8. Mertsj
    • one year ago
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    What is the radius of the first circle?

  9. anonymous
    • one year ago
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    4

  10. Mertsj
    • one year ago
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    What is the radius of the second circle?

  11. anonymous
    • one year ago
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    and the second one is 3

  12. Mertsj
    • one year ago
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    What is the ratio?

  13. anonymous
    • one year ago
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    4:3?

  14. Mertsj
    • one year ago
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    Now you can say that all radii of a circle are equal so all radii of circle C = 4 and all radii of circle E = 3 so the ratio of all radii of Circle C to all radii of Circle E= 4:3 so the circles are similar and by extension all circles are similar.

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