2.1+Conditional+Statements

In this lesson you will study a type of logical statement called a conditional statement. A **conditional statement** has two parts, a //hypothesis// and a //conclusion//. When the statement is written in **if-then form,** the "if" contains the **hypothesis** and the “then” part contains the **conclusion.** In this section you will also learn about inverse, converse, contrapositive, statement, if-then form, hypothesis, and conclusion.
 * 2.1 Conditional Statements** Pg 71

Here is an example. The **converse** of a conditional is formed by switching the hypothesis and conclusion.
 * Statement:** If you see lightning, then you hear thunder.
 * Converse:** If you hear thunder, then you see lightning.

The **inverse** is when you negate the hypothesis and conclusion.The **contrapositive** when you negate the hypothesis and conclusion of the converse.
 * Inverse**-If you do not see lightning, then you do not hear thunder.
 * Contrapositive-** If you do not hear thunder then you do not see lightning.

Conditional- if – then p - q Inverse- negate conditional ~p - ~q Converse- switch conditional’s “if” and “then” q - p Contrapositive- negate converse ~q - ~p
 * Key Points**

Write the converse, inverse and contrapositive Statement- If it rains then the game will be canceled 1.Converse- 2.Inverse- 3.Contrapositive
 * More Practice**

Converse- If the dog is big then he will eat more 1.Conditional- 2.Inverse- 3.Contrapositive-

Write this in if-then format Conditional- There is lighting. There is also thunder. 1.

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 * Practice Problems**

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http://www.sparknotes.com/math/geometry3/logicstatements/section3.rhtml

McDougal Littell Geometry Textbook pages 71-74