1. Conditional Statements Chapter 2 Section 1

2. What is a conditional? A statement in “if-then” form ◦ If you do your work, then you can go out. ◦ If an animal barks, then it is a dog.

3. Two parts to a conditional hypothesis ◦ the “if” part of a conditional (NOT including the word “If”) conclusion ◦ the “then” part of a conditional (NOT including the word “then”)

4. Examples Identify the hypothesis and conclusion ◦ If Texas won the 2006 Rose Bowl game, then Texas was college football’s 2005 national champion. ◦ If t-38=3, then t=41 ◦ If a number is even, then the number is divisible by 2. ◦ If two lines intersect, then their intersection is a point.

5. More examples… You can go to the dance on Saturday, if you study for your math test. If wishes were horses, beggars would ride. All rectangles have four sides.

6. Writing a conditional A rectangle has four sides. ◦ If ________________________________, then _____________________________. A tiger is an animal. ◦ If ________________________________, then _____________________________.

7. More examples… An integer that ends with 0 is divisible by 5. ◦ If ________________________________, then _____________________________. A square has four congruent sides. ◦ If ________________________________, then _____________________________.

8. Counterexample A situation where the hypothesis is true, but the conclusion is false. Find a counterexample for the following conditionals: ◦ If it is February, then there are only 28 days in the month.  Counterexample: during leap year, February has 29 days

9. Examples If the name of a state contains the word “New”, then the state borders an ocean.  Counterexample: New Mexico