Outcomes
In this lesson you will
- use Euclidean geometry to prove properties of circles
By the end of this section students will 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:
- vertical angles
- complementary angles, supplementary angles
- Corresponding angles and alternate interior angles with respect to parallel lines