Learning Resources

Outcomes

In this lesson you will

• Develop and use the coordinate geometry formula for the distance between two points.
• Develop and use the coordinate geometry formula for the midpoint of a segment.

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:

• How to create a set of axes and plot points in a Cartesian plane.
• The formula for the slope of a line given two points on the line.
• The use and meaning of subscript notation e.g. x₁.
• The Pythagorean Theorem.