Conditional Statements Chapter 2 Section 1. What is a conditional? A statement in “if-then” form ◦ If you do your work, then you can go out. ◦ If an animal.

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Conditional Statements Chapter 2 Section 1

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.

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”)

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.

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.

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

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

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

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