Geometry Chapter 2 REASONING and PROOF

2.1 Use Inductive Reasoning Inductive Reasoning Strategies (Induction occurs when we gather bits of specific information together and use our own knowledge and experience in order to make an observation about what must be true.) Observation: John came to class late this morning. Observation: John’s hair was uncombed. Prior experience: John is very fussy about his hair. Conclusion: John overslept

IDENDIFYING PATTERNS n 1 2 3 4 5 S 6 10 15 Given the following table write a conjecture (educated guess) about the pattern n 1 2 3 4 5 S 6 10 15  

How about a picture? n 1 2 3 4 5 S 6 10 15  

Conjectures and Counterexamples A conjecture is an proven Statement that is based on observation A counterexample is a specific case that proves a conjecture false