Learning Resources

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Outcomes

In this lesson you will

  • Use coordinate geometry to re-examine the chord properties of a circle which you learned in Section 01.

By the end of this section you should be able to:

  • Apply inductive reasoning to make conjectures in geometric situations.
  • Develop and apply formulas for distance and midpoint.
  • 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.
  • 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:

  • The distance, mid-point, and slope formulas.
  • The properties of chords of a circle.