1. 2-2 Conditional Statements
Geometry

2. Conditional Statement
A logical statement with 2 parts
(if ___, then ___)
2 parts are called the ___________ (p) & __________________ (q)
Can be written in “if-then” form; such as, “If…, then…”
Hypothesis is the part ______the word “__”
Conclusion is the part ____ the word “_____”

3. Conditional Statement
A conditional statement has a ____________ of either true or false. It is false only when the hypothesis is true and the conclusion is false.
Ex 1: Underline the hypothesis & circle the conclusion.
If you are a brunette, then you have brown hair.

4. Ex 2: Rewrite the statement in “if-then” form
Vertical angles are congruent.
2.) An object weighs one ton if it weighs 2000 lbs.

5. Counterexample Used to show a ____________statement is false.
It must keep the hypothesis ________, but the conclusion ______________!

6. Ex 3: Find a counterexample to prove the statement is false.
If x2=81, then x must equal 9.
counterexample:

7. Negation Writing the opposite of a statement. Ex 4: negate x=3
Ex 5: negate t>5

8. Converse
_________ the hypothesis & conclusion parts of a conditional statement.
Ex 6: Write the converse of “If you are a brunette, then you have brown hair.”

9. Inverse
_________the hypothesis AND the conclusion of a conditional statement.
Ex 7: Write the inverse of “If you are a brunette, then you have brown hair.”

10. Contrapositive
___________, then _________ the hypothesis & conclusion of a conditional statement.
Ex 8: Write the contrapositive of “If you are a brunette, then you have brown hair.”

11. The original conditional statement & its contrapositive will always have the same meaning. (Refer to the table on pg. 83)
The converse & inverse of a conditional statement will always have the same meaning.

12. Assignment

13. hypothesis conclusion