Outcomes
In this lesson you will
- Discover the properties of a tangent and tangent segments drawn to a circle from an external point.
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 measure angles with a protractor.
- The angle and arc relationships developed so far in this unit.
- The properties of an isosceles triangle.
- That the sum of the interior angles of a triangle is 180°.