1. Conditional Statements
Logic Lesson 1

2. Conditional Statements Foldable
Negation
Equivalent Statements
Converse
Inverse
Contrapositive
Conditional Statements Foldable

3. Conditional Statement
if-then
true
false
If you are from Wisconsin, then you are a Packer fan!
hypothesis
conclusion

4. Converse
flipping
AB+BC=AC
B is between A & C

5. Negation
It is not raining
I am hungry
opposite

6. Inverse Inverse = Opposite negating An angle is not 90
If you are NOT from Wisconsin, then you are NOT a Packer fan!
If you are from Wisconsin, then you are a Packer fan!
An angle is not 90
It is not a right angle

7. they are not vertical angles
Contrapositive
flipping
negating
If you are from Wisconsin, then you are a Packer fan!
If you are NOT a Packer fan, then you are NOT from Wisconsin!
two angles are not ≅
they are not vertical angles

8. Equivalent Statements
contrapositive
converse
inverse
If you are from Wisconsin, then you are a Packer fan!
If you are NOT a Packer fan, then you are NOT from Wisconsin!
I am from Wisconsin, therefore I must be a Packer fan.
I am NOT a Packer fan, therefore I must NOT be from Wisconsin.
true
false

9. Conditional Statements Notes
If you graduate high school, then you go to college.
If hypothesis, then conclusion.
Converse
(Flip)
Inverse
(Negate)
Contrapositive
(Flip and Negate)
If you go to college, then you graduated high school.
If you did not graduate high school, then you did not go to college.
If you did not go to college, then you did not graduate high school.

10. Conditional Statements Notes
If you get married, then you have three children.
You can provide a counterexample to prove statements are false.
Converse
(Flip)
Inverse
(Negate)
Contrapositive
(Flip and Negate)
If you have three children, then you got married.
If you do not get married, then you do not have three children.
If you do not have three children, then you did not get married.

11. Conditional Statement Notes
If a conditional statement is true then: the converse is __________________ the inverse is ___________________ the contrapositive is ________________
Sometimes true
Sometimes true
always true
Conditional Statement Notes

12. Identify the hypothesis and conclusion.
You will make the honor roll if you get all A’s and B’s.
Class Example 1

13. Class Example 2 If a number is odd, then it is a prime number.
Provide a counterexample to show that the conditional statement is false.
If a number is odd, then it is a prime number.
Class Example 2

14. Class Example 3 If a bird is a raven then it is black.
Write the inverse of the statement. Is it true or false? If false provide a counterexample.
If a bird is a raven then it is black.
Class Example 3

15. Student Example 1 AB = BC if B is the midpoint of AC.
Write the converse of the statement.
AB = BC if B is the midpoint of AC.
Student Example 1

16. Student Example 2 If you build it they will come.
Identify the hypothesis and conclusion.
If you build it they will come.
Student Example 2

17. Student Example 3 ∠A=∠B if both angles are right angles.
Write the inverse. Is it true? If not, provide a counterexample.
∠A=∠B if both angles are right angles.
Student Example 3