Are All Circles Similar?

Dilated pupils, the way to prove circles are similar. Using the knowledge of dilations of polygons, class members learn how to dilate a circle to show that it is similar to any other circle. The teacher guides the class through a proof showing that two general circles are similar using transformations.

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CCSS: Designed
Additional Tags

Instructional Ideas

  • Have the class determine if other figures are all similar
Classroom Considerations

  • The class should know how to construct dilations using a straightedge and string
  • Individuals should understand how to interpret translations using vector notation

  • Includes suggested timings for the different segments of the lesson
  • Contains an answer key

  • None
Common Core