Learning Resources

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Outcomes

In this lesson you will

• prove relationships with arcs and angles
• solve problems using arcs and angles

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:

• calculation of area and circumference of a circle
• a complete rotation of a circle is 360⁰
• vertical angles are congruent
• parallel line relationships
• perpendicular lines
• distance and midpoint formulas
• solving equations