Outcomes
In this lesson you will
- discover using transformations that tangents are perpendicular to the radius drawn to the point of tangency
- discover that tangent segments drawn from a common external point are congruent
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 angle relationships in circles
- write proofs using various axiomatic systems and assess the validity of deductive arguments
- investigate and make and prove conjectures associated withtangent 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:
- Pythagorean theorem
- solving triangles using trigonometry