1. Section 16.4: Reasoning and Proof

2. Objective(s):
By following instructions, students will be able to:
Learn how to prove statements.

3. Def: A conjecture is a statement that is believed to be true.
Def: Inductive reasoning is the process of reasoning that a rule or statement is true.
Def: Deductive reasoning the process of using logic to draw conclusions.
Def: A conditional statement is when a statement is written in If, then form.

5. Use deductive reasoning to solve the equation
Use deductive reasoning to solve the equation. Use Properties of Equality to justify each step.
explain 1A
14=3x-4

6. Use deductive reasoning to solve the equation
Use deductive reasoning to solve the equation. Use Properties of Equality to justify each step.
explain 1B
9=17-4x

7. Your-Turn #1 Write as a conditional statement: All zebras are mammals.
The bill will pass if it gets two-thirds of the vote in the Senate.
Use deductive reasoning to solve 3-4x=-5.

9. Use a postulate or theorem to find the value of x in each figure.
explain 2A

10. Use a postulate or theorem to find the value of x in each figure.
explain 2B

11. Your-Turn #2
Two angles LMN and NMP form a linear pair. The measure of ∠LMN is twice the measure of ∠NMP.
Find m∠LMN.

12. Postulate 1
Postulate 2

13. Postulate 3
Postulate 4

14. Postulate 5

15. Use each figure to name the results described.
explain 3a

16. Use each figure to name the results described.
explain 3a

17. Revisit Objective(s):
Did we...
Learn how to prove statements?

18. HW:
Sec 16.4 pg 653 #s 1-21 odds, 28