anonymous
  • anonymous
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.
Mathematics
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
@andrearchat
anonymous
  • anonymous
@teagirl7630
Mertsj
  • Mertsj
All circles are by definition similar because they all have the same shape but not the same size.

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anonymous
  • anonymous
how do i prove they are similar though?
Mertsj
  • Mertsj
Prove that all the radii have the same ratios.
anonymous
  • anonymous
how do i do that?
anonymous
  • anonymous
@Mertsj
Mertsj
  • Mertsj
What is the radius of the first circle?
anonymous
  • anonymous
4
Mertsj
  • Mertsj
What is the radius of the second circle?
anonymous
  • anonymous
and the second one is 3
Mertsj
  • Mertsj
What is the ratio?
anonymous
  • anonymous
4:3?
Mertsj
  • Mertsj
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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