Logic and Proof (Geometry Curriculum - Unit 2)
This bundle contains notes, homework assignments, three quizzes, a study guide and a unit test that cover the following topics:
• Inductive Reasoning and Conjectures
• Compound Statements and Truth Tables
• Conditional Statements
• Related Conditionals (Inverse, Converse, Contrapositive)
• Bi-Conditional Statements
• Venn Diagrams
• Deductive Reasoning (Law of Detachment and Law of Syllogism)
• Properties of Equality (Addition, Subtraction, Multiplication, Division, Distributive, Substitution, Reflexive, Symmetric, Transitive)
• Algebraic Proof
• Properties of Congruence (Reflexive, Symmetric, Transitive)
• Segment Proofs
• Angle Proofs
Please download the preview to see a sample outline along with a collage of some of the pages.
Definitions, Postulates, and Theorems included in the proofs:
Definition of Congruence, Definition of Midpoint, Definition of Complementary Angles, Definition of Supplementary Angles, Definition of Angle Bisector, Definition of Perpendicular, Definition of a Right Angle, Segment Addition Postulate, Angle Addition Postulate, Vertical Angles Theorem, Complement Theorem, Supplement Theorem, Congruent Complements Theorem, Congruent Supplements Theorem
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