1. Warm Up 09.27.11 Week 7 1) Write the equation for the line that goes through the point and slope: ( 2, -9 ) and m = 3

2. Geometry 2.3 Day 2 I will use and understand the difference between the law of detachment and the law of transitivity. If p → q is true and p is true, then q is true. Law of detachment If a conditional statement is true and its hypothesis is true, then the conclusion is true. If Josh misses practice, then he will not start in the game. Josh misses practice. Ex 1

3. Geometry 2.3 Day 2 I will use and understand the difference between the law of detachment and the law of transitivity. If p → q is true and p is true, then q is true. Law of detachment If a conditional statement is true and its hypothesis is true, then the conclusion is true. If Josh misses practice, then he will not start in the game. Josh misses practice. Ex 1

4. Geometry 2.3 Day 2 I will use and understand the difference between the law of detachment and the law of transitivity. If p → q is true and p is true, then q is true. Law of detachment If a conditional statement is true and its hypothesis is true, then the conclusion is true. If Josh misses practice, then he will not start in the game. Josh misses practice. Ex 1

5. Geometry 2.3 Day 2 I will use and understand the difference between the law of detachment and the law of transitivity. If p → q is true and p is true, then q is true. Law of detachment If a conditional statement is true and its hypothesis is true, then the conclusion is true. If Josh misses practice, then he will not start in the game. Josh misses practice. Ex 1

6. Geometry 2.3 Day 2 I will use and understand the difference between the law of detachment and the law of transitivity. and p is true, then q is true. Law of detachment If a conditional statement is true and its hypothesis is true, then the conclusion is true. If Josh misses practice, then he will not start in the game. Josh misses practice. If p → q is true Ex 1

7. Geometry 2.3 Day 2 I will use and understand the difference between the law of detachment and the law of transitivity. If p → q is true and p is true, then q is true. Law of detachment If a conditional statement is true and its hypothesis is true, then the conclusion is true. If Josh misses practice, then he will not start in the game. Josh misses practice. Conclusion:Josh does not start in the game. Ex 1

8. If p → q and q → r are true conditional statements, then p → r is true. Ex 2 Law of transitivity (syllogism) If it is Saturday, then Sylvia has a lot of free time. If Sylvia has a lot of free time, then she will go shopping. p → q rq → p → r

9. If p → q and q → r are true conditional statements, then p → r is true. Ex 2 Law of transitivity (syllogism) If Sylvia has a lot of free time, then she will go shopping. p → q rq → p → r If it is Saturday,then Sylvia has a lot of free time.

10. If p → q and q → r are true conditional statements, then p → r is true. Ex 2 Law of transitivity (syllogism) If Sylvia has a lot of free time, then she will go shopping. p → q rq → p → r If it is Saturday,then Sylvia has a lot of free time.

11. If p → q and q → r are true conditional statements, then p → r is true. Ex 2 Law of transitivity (syllogism) p → q rq → p → r If it is Saturday,then Sylvia has a lot of free time. If Sylvia has a lot of free time, shopping. then she will go

12. If p → q and q → r are true conditional statements, then p → r is true. Ex 2 Law of transitivity (syllogism) p → q rq → p → r If it is Saturday,then Sylvia has a lot of free time. If Sylvia has a lot of free time, shopping. then she will go

13. If p → q and q → r are true conditional statements, then p → r is true. Ex 2 Law of transitivity (syllogism) p → q rq → p → r If it is Saturday,then Sylvia has a lot of free time. If Sylvia has a lot of free time, shopping. then she will go Conclusion: If it is Saturday, then Sylvia will go shopping.

14. If it does not rain, then the river will dry up. If the river dries up the boats cannot float. Ex 3 Conclusion: If it does not rain, then the boats cannot float. If it does not rain, then the river will dry up. It does not rain. Ex 4 Conclusion: The river dries up. Law of Logic: Transitivity Law of Logic: Detachment

15. Do: 1 Conclusion: Assignment: Textbook Page 93, 45 – 48 All. And #51 Handout – Laws of Detachment and Syllogism If it is six pm, then the pizza shop is open. If the pizza shop is open, then Suzan will go buy a pizza. Law of Logic:

16. If it is Halloween, Sheela will buy lots of candy. If Sheela buys lots of candy, then she will eat all the candy. Ex 5 p → q: If it is Halloween, then Sheela will buy lots of candy. q → r: If Sheela buys lots of candy, then she will eat all the candy. p → r: If it is Halloween, then Sheela will eat all the candy.