The document covers conditional statements and logical reasoning concepts, including if-then statements, their hypotheses and conclusions, and negation. It includes examples of formulating if-then statements, their converses, and laws of logic such as the law of detachment and the law of syllogism. Additionally, it prompts for practice with various logical statements and negations.

1. Conditional Statements

2. Warm Up Name a linear pair. Name a pair of vertical angles. Find the value of each variable. Which popular game show host is this? 1 2 3 4 5 104° (12x + 20)° 9y - 5°

3. If-Then If today is Wednesday, then tomorrow is _________________. If ____________________________, then today is Sunday. If I make a bad grade in this class, then _____________________. If __________________________, then Egyptian will have an awesome basketball team.

4. If-Then If-Then statements have two parts: if and then The ___________ is called the hypothesis . It’s what “might” happen. The ___________ is called the conclusion . It’s what will happen if the hypothesis comes true.

5. If-Then IF THEN

6. Rewrite Rewrite the statement as an if-then statement. I'm a beast when you turn me on I’ve been roaming around, always looking down, at all I see She wears high heels, I wear sneakers I make it snow, I make it flurry Sometimes love comes around and it knocks you down

7. Negation ne·ga·tion - n. A denial, contradiction, or negative statement. The opposite or absence of something regarded as actual, positive, or affirmative.

8. Negation Write the negation of the following statements. Lil Wayne is ugly.  _________________________ Bill Gates is poor.  _________________________ Tamms is a big town.  ______________________ Skateboarding is easy.  _____________________

9. FLIPPIN COOL

10. Converse The converse of an if-then statement means to flip the if and then pieces. Statement: If the math test is easy, then I will get a good grade. Converse : If ___________________________, then _________________________________.

11. Converse Write the converse of each statement. If you live in Olive Branch, then you live in Illinois. If you are 16, then you have a driver’s license. If you have Mrs. Sitton, then you are taking an English class. If you are a girl, then you like pink.

12. Laws of Logic Law of Detachment If the hypothesis is true, then the conclusion is true. Example If you wash the Ed Hardy shirt in hot water, it will shrink. You washed the Ed Hardy shirt in hot water. What can you conclude?

13. Laws of Logic Law of Syllogism If p, then q. If q, then r.  If these two are true, If p, then r.  Then this must be true. Example If Cory falls asleep in class, he will not do the homework. If he doesn’t do the homework, his grade will be bad. If Cory falls asleep in class, then ____________________