Learning Resources

Outcomes

In this lesson you will

• Explore the relationship between the perpendicular bisector of a chord of a circle and the centre of the circle.
• Do more work with writing converses and use the expression "iff" in sentences.

By the end of this section you should 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:

• Circle, semicircle, radius, centre, diameter, chord.
• Parallel and perpendicular lines.
• Midpoint.
• Perpendicular bisector.