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Lesson 2.1 – Use Inductive Reasoning Conjecture – Inductive Reasoning – Counterexample – Lesson 2.2 – Analyze Conditional Statements A conditional statement is ______________________________________________________ ____________________________________________________________________________ When written in ____________________, the “if” part contains the ____________________ and the “then” part contains the ____________________. The negation of a statement is the _______________ of the original statement. To negate a statement, add or remove some form of the work ________ or ________. The truth value of a statement refers to whether it is ________ or ________. _______________________________________ are statements that are both true or both false. To write the _______________ of a conditional statement, ____________________________ ___________________________________________________________________________. To write the _______________ of a conditional statement, ____________________________ ___________________________________________________________________________. To write the ____________________ of a conditional statement, _______________________ ___________________________________________________________________________. When a statement and its ____________ are both ________, you can write them as a single ___________________________________ using the phrase ____________________. Statement Conditional Converse Inverse Contrapositive Statement Conditional Converse Inverse Contrapositive Biconditional Notation Negation of Sentence Reverse of Equivalent to T/F Lesson 2.3 – Apply Deductive Reasoning Deductive reasoning – Laws of Logic Law of Detachment – Ex: Law of Syllogism – Ex: Lesson 2.4 – Use Postulates and Diagrams See Handout Lesson 2.5 – Reason Using Properties from Algebra See Handout Lesson 2.6 – Prove Statements about Segments and Angles Proof – Two-column Proof – Theorem – Congruence of Segments – Congruence of Angles – Lesson 2.7 – Prove Angle Pair Relationships Right Angles Congruence Theorem – Congruent Supplements Theorem – Congruent Complements Theorem – Linear Pair Postulate – Vertical Angles Congruence Theorem –
