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Reasoning and Proof

Proofs

 Tutorial Name Tutorial Description

Tutorials

 Tutorial Name Tutorial Description Reasoning and Proof (Part 1) Conditional Statements, Hypothesis, Conclusion, If-Then Form, Inverse, Converse, Contrapositive, Negation, Reasoning and Proof (Part 2) Equivalent Statements, Definitions, Biconditional Statements, Perpendicular Lines, Conjecture, Inductive Reasoning definition and examples, Deductive Reasoning introduced, Reasoning and Proof (Part 3) Counter Example, Deductive Reasoning definition and examples, Law of Detachment, Syllogism, Law of Syllogism. Reasoning and Proof (Part 4) Law of Syllogism examples. Two Point Postulate, Line Point Postulate, Line Intersection Postulate, Three Point Postulate, Plane Point Postulate, Plane Line Postulate, Plane Intersection Postulate, Addition, Subtraction, Multiplication, Division Properties of Equality. Reasoning and Proof (Part 5) Substitution Property of Equality, Distributive Property, Reflexive, Symmetric, Transitive Properties of Equality, Justifying Steps, Reasoning and Proof (Part 6) Proof definition, Two column proof introduced with example, Reasoning and Proof (Part 7) Reflexive, Symmetric, Transitive Properties of Segment Congruence and Angle Congruence, Proof of symmetric property of equality, Theorem defined, Right Angle Congruence Theorem definition and proof. Reasoning and Proof (Part 8) Congruent Complements Theorem definition and proof, Congruent Supplements Theorem definition and proof, Vertical Angle Congruence Theorem definition and proof. Chapter 2 Review (1-8) Chapter 2 Review problems 1-8. Chapter 2 Review (9-16) Chapter 2 Review problems 9-16 Chapter 2 Review (17-24) Chapter 2 Review problems 17-24 Chapter 2 Review (25-26) Chapter 2 Review problems 25-26