Learning Resources

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.