Conditional Statements Geometry 2 1 Conditional Statement An

Conditional Statements Geometry 2 -1

• 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 Counterexample

Conditional Statements

Conditional Statements - Practice

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

Write a good definition for the bold term Biconditional Statements

Write a good definition for the bold term Biconditional Statements

Write a good definition for the bold term Biconditional Statements

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