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TOPICS COVERED
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Basic Elements
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• Introductory Terms
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• Rays and Angles
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• Measuring Angles
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• Types of Angles
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Intersecting and Parallel Lines
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• Perpendicular Lines
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• Some Basic Facts
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• Parallel Lines
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Triangles and Triangle Congruence
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• Terms Used with Triangles
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• Basic Facts About Triangles
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• Congruence of Triangles
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• Results of Triangle Congruence
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Quadrilaterals
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• Parallelograms
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• Trapezoids
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• Review Problems and Examples
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Right Triangles
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• General Right Triangles
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• Special Right Triangles
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Circles
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• Circle Definitions
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• Basic Results of Circle Theorems
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• Arcs and Angles
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Areas and Perimeters
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• Areas of Special Polygons
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• Perimeters of Polygons
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• Area and Circumference of Circles
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Adv. Triangles and Trigonometry
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• Interesting Facts About Triangles
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• Similar Triangles
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• Measuring with Trigonometry
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The Language of Theorems
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• If-Then Statements
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• Statements and Their Converses
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Introduction to Proofs
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• Why We Need a Formal Proof
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• What is a Proof?
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• Proofs in Everyday Situations
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The Basic Elements of a Proof
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• Why We Need Definitions
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• Axioms and Postulates
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Proof Demonstrations and Problems
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• Completed Proofs
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• Connecting Statements to Reasons
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• Creating a Proof
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• Indirect Proofs
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