Lesson 2.5: Conditional Statements & Deductive Reasoning

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Lesson 2.5: Conditional Statements & Deductive Reasoning Unit 2: Logic & Proof Lesson 2.5: Conditional Statements & Deductive Reasoning

Conditional Statements

Conditional Statements

Conditional Statements

Conditional Statements

Conditional Statements A conditional statement has three other forms; the converse, inverse, and contra-positive. Each one is formed by altering the hypothesis and conclusion of the original conditional statement. To write the converse, switch the hypothesis and conclusion To write the inverse, write the negative form of the hypothesis and conclusion To write the contra-positive, switch the hypothesis and conclusion and write the negative form of both. Example: If the sky is blue then the Ocean is blue Converse – If the ocean is blue then the sky is blue Inverse – If the sky is not blue then the ocean is not blue Contra-Positive – If the ocean is not blue then the sky is not blue

Conditional Statements

Deductive Reasoning

Deductive Reasoning

Deductive Reasoning

Deductive Reasoning

Deductive Reasoning

Deductive Reasoning

Deductive Reasoning

Deductive Reasoning