Conditional Statements

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Presentation transcript:

Conditional Statements Geometry 2-1

Vocabulary Conditional Statement – An If... Then statement Hypothesis – “if” part of a conditional statement Conclusion – “then” part of a conditional Statement A conditional statement is either true or false Vocabulary

Conditional Statements

Conditional Statements

Proving a conditional statement is false requires identifying only one counterexample

Conditional Statements

Conditional Statements - Practice

Conditional Statements

Conditional Statements Converse of a conditional – Switching the hypothesis and the conclusion in the statement Conditional Statements

Conditional Statements

Conditional Statements - Practice

Conditional Statements

Conditional Statements - Practice

Conditional Statements

Conditional Statements - Practice

Conditional Statements - Practice

Conditional Statements - Practice

Conditional Statements - Practice

Biconditionals and Definitions Geometry 2-2

Biconditional Statement – A combined conditional statement and its converse Biconditional statements are created by joining the two parts with “if and only if” Vocabulary

Biconditional Statements

Biconditional Statements

Biconditional Statements - Practice

Biconditional Statements - Practice

Biconditional Statements

Biconditional Statements

Biconditional Statements

Biconditional Statements - Practice

Biconditional Statements Write a good definition for the bold term Biconditional Statements

Biconditional Statements Write a good definition for the bold term Biconditional Statements

Biconditional Statements Write a good definition for the bold term Biconditional Statements

Biconditional Statements - Practice Yes No Yes Biconditional Statements - Practice

Pages 71 – 74 1, 7, 12, 13, 17, 20, 21, 25, 29, 31, 33, 42, 52, 73 Pages 78 – 81 5, 10, 11, 14, 22, 23, 27-31, 41, 61 Homework