Learning Resources

Outcomes

In this lesson you will

• Explore and prove tangent properties using coordinate geometry.
• Solve problems using tangent properties.

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 angle relationships in circles.
• Write proofs using various axiomatic systems and assess the validity of deductive arguments.
• Investigate, and make and prove conjectures associated with tangent properties of circles.
• Apply properties of circles
• Solve problems involving the equations and characteristics of circles and ellipses.
• Develop and apply formulas for distance and midpoint.

Prerequisites

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

• How to use coordinate geometry to do proofs.
• The relationships between the slopes of parallel and perpendicular lines.
• The slope, distance, and mid-point formula.