2.3 deductive reasoning

2.3 Deductive Reasoning Mrs. Stelter Geometry

Standards/Objectives ,[object Object],[object Object],[object Object],[object Object]

Conditional Statement ,[object Object],[object Object],[object Object],[object Object],[object Object]

Biconditional Statement ,[object Object],[object Object],[object Object],[object Object],[object Object]

Example 1: Using Symbolic Notation ,[object Object],[object Object],[object Object],[object Object]

Solution ,[object Object],[object Object],[object Object]

Symbol for negation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Example 2: Writing an inverse and contrapositive ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Equivalent Statements: ,[object Object],[object Object],[object Object],[object Object]

Equivalent Statements ,[object Object],[object Object],[object Object],[object Object]

Using the Laws of Logic ,[object Object],[object Object]

Example 3: Using inductive reasoning ,[object Object]

Deductive Reasoning ,[object Object]

Law of Detachment ,[object Object],[object Object],[object Object]

Law of syllogism ,[object Object],[object Object],[object Object],[object Object],[object Object]

Example 5 continued ,[object Object],[object Object],[object Object],[object Object],[object Object]

Example: Deductive Reasoning ,[object Object],[object Object]

Solution ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

In other words ,[object Object],[object Object]

Assignment ,[object Object],[object Object],[object Object]

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