1. Do Now (partner #1) p: you live in San Francisco
q: you live in California
Conditional Statement
Contrapositive Statement
Converse Statement
Inverse Statement
Is the statement Biconditional?

2. Do Now (partner #2) p: two angles are complementary.
q: the sum of their measure is 90.
Conditional Statement
Contrapositive Statement
Converse Statement
Inverse Statement
Is the statement Biconditional?

3. Workbook page 9 H: 3x + 4 = -5 C: x = -3
H: you take a class in television broadcasting
C: you will film a sporting event
3) If you do not remember the past, then you are condemned to repeat it.

4. Workbook page 9
If two angles are adjacent, then they share a common vertex and a common side.
True

5. Workbook page 9
Converse: If -8 > 0, then (-8)2 > 0; true. Inverse: If (-8) , then ; true. Contrapositive: If , then (-8) ; false
If you are a junior, then you wait on tables.
If you wait on tables, then you are a junior.

6. 2.4 Deductive Reasoning

7. Law of Detachment Given:
If you have a true conditional statement and the hypothesis occurs…
pq is true
p is given
Conclusion:
Then, the conclusion will also occur.
q is true

8. Law of Detachment Example 1:
Given: If three points are collinear, then the points are all on one line. E, F, and G are collinear.
Conclusion: E, F, and G are all on one line.

9. Law of Detachment Example 2:
Given: If I find $20 in the street, then I’ll take you to the movies. On October 10 I found $20 in the street.
Conclusion: I will take you to the movies.

10. Law of Syllogism Given: Two true conditional statements and
the conclusion of the first is the hypothesis of the second.
pq and qr
Conclusion:
If the hypothesis of the first occurs, then the conclusion of the second will also occur.
pr

11. Law of Syllogism Example:
If it rains today, then we will not have a picnic.
If we do not have a picnic, then we will not see our friends.
Given:
Conclusion:
If it rains today, then we will not see our friends.