1 conditional statement.notebook Warm up 0128 January 28, 2015 1 conditional statement.notebook January 28, 2015 There are 2 types of reasoning in geometry deductive reasoning and inductive reasoning https://www.youtube.com/watch?v=ZTfVIMPV8KY https://www.youtube.com/watch?v=wg5LvwBnc4 1 conditional statement.notebook Conditional Statements January 28, 2015 1 conditional statement.notebook January 28, 2015 A conditional statement is an "if...then" statement, in which there is usually a cause and effect relationship; typically in the form "if p, then q" If it is your birthday, then you have cake 1 conditional statement.notebook January 28, 2015 A conditional statement has 2 parts: hypothesis conclusion 1 conditional statement.notebook January 28, 2015 A Hypothesis is an unproved theory, proposition, or supposition; the "if" part of a conditional statement If it is your birthday, then you have cake 1 conditional statement.notebook January 28, 2015 The conclusion is the last step in a reasoning process; the "then" part of a conditional statement If it is your birthday, then you have cake 1 conditional statement.notebook January 28, 2015 1 conditional statement.notebook January 28, 2015 A counterexample is an example that shows a conditional statement to be false https://www.youtube.com/watch?v=MUWUSs23UFQ If it is your birthday, then you have cake 1 conditional statement.notebook January 28, 2015 Examples If you add two odd numbers, then the answer is always an odd number. counterexample hypothesis conclusion 1 conditional statement.notebook January 28, 2015 Other forms of a conditional statement If p, then q converse: if q, then p a conditional statement that interchanges the hypothesis and conclusion 1 conditional statement.notebook inverse: January 28, 2015 a conditional statement that is formed by negating the hypothesis and the conclusion if ~p, then ~ q 1 conditional statement.notebook January 28, 2015 contrapositive: a conditional statement formed by negating AND if ~q, then ~p interchanging the hypothesis and conclustion (converse of the inverse) 1 conditional statement.notebook January 28, 2015 1 conditional statement.notebook Example January 28, 2015 If it is raining, then it is cloudy State the converse, inverse, and contrapositive of this conditional converse: inverse: contrapositive: 1 conditional statement.notebook January 28, 2015 Example If it is cold, then it is not raining. State the converse, inverse, and contrapositive of this conditional converse: inverse: contrapositive: 1 conditional statement.notebook January 28, 2015 1 conditional statement.notebook practice: worksheet 14A January 28, 2015 1 conditional statement.notebook January 28, 2015 HW 0128 workbook pages 465 and 466 1 conditional statement.notebook January 28, 2015 A biconditional statement is formed by combining a conditional statement and its converse. A valid biconditional statement can be formed only if a conditional statement and it converse are BOTH true https://www.youtube.com/watch?v=6v3gv6u3M1E https://www.youtube.com/watch?v=6cUCPpOzKrc 1 conditional statement.notebook January 28, 2015 1 conditional statement.notebook January 28, 2015 If an angle measures less than 90 degrees, then it is an acute angle Write the converse. Write the biconditional statement. 1 conditional statement.notebook January 28, 2015 1 conditional statement.notebook January 28, 2015 1 conditional statement.notebook January 28, 2015
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