Learning Resources

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Outcomes

In this lesson you will

  • use Euclidean geometry to prove properties of circles

By the end of this section students will be able to:

  • apply inductive reasoning to make conjectures in geometric situations
  • investigate and make and prove conjectures associated with chord properties of circles
  • write proofs using various axiomatic systems and assess the validity of deductive arguments
  • demonstrate an understanding of the concept of converse
  • apply properties of circles
  • solve problems involving the equations and characteristics of circles and ellipses

Prerequisites

To be successful in this lesson, it would be helpful to know the following:

  • vertical angles
  • complementary angles, supplementary angles
  • Corresponding angles and alternate interior angles with respect to parallel lines