G6 - Deductive Reasoning

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Presentation transcript:

G6 - Deductive Reasoning

Comparison of Inductive and Deductive Reasoning

Comparison of Inductive and Deductive Reasoning

Types of proof A paragraph proof

Types of proof A two column proof: Most commonly used. Has numbered statements and reasons that show the logical order of an argument.

Types of proof A flow chart proof

Justification in Proofs using Properties of equality

Properties of Congruence Congruence is reflexive, symmetric, and transitive. Examples: Reflexive: For any angle A, A ≅ A. Symmetric: If A ≅ B, then B ≅ A Transitive: If A ≅ B and B ≅ C, then A ≅ C.

Definition of … Examples: Used when using a definition of defined term to justify statements Examples: Congruent to equal: Given AB ≅ CD Conclusion AB = CD Def. of congruent segments Equal to congruent: Given AB = CD Conclusion AB ≅ CD Def. of congruent segments

Definition of …

Definition of … Midpoint: Given M is the midpoint of AB Conclusion AM ≅ MB Def. of midpoint Segment Bisector: Given AB bisects CD at E Conclusion CE ≅ ED Def. of segment bisector

Definition of …