Geometry Module 5, Topic A, Lesson 1

High School Female on Computer

Student Outcomes

  • Using observations from a pushing puzzle, explore the converse of Thales' theorem:  If triangle ABC is a right triangle, then A, B, and C are three distinct points on a circle with segment AC a diameter.
  • Prove the statement of Thales' theorem:  If A, B, and C are three different points on a circle with segment AC a diameter, then angle ABC is a right angle.

Downloadable Resources

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Common Core Learning Standards

CCLS State Standard
G.C.2 Identify and describe relationships among inscribed angles, radii, and chords. Include the...
G.C.3 Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for...

Curriculum Map