CK-12 Geometry-Concepts

(Marvins-Underground-K-12) #1

http://www.ck12.org Chapter 2. Reasoning and Proof


CHAPTER


2 Reasoning and Proof


Chapter Outline


2.1 Conjectures and Counterexamples


2.2 IF-THENSTATEMENTS


2.3 CONVERSE, INVERSE,ANDCONTRAPOSITIVE


2.4 INDUCTIVEREASONING FROMPATTERNS


2.5 DEDUCTIVEREASONING


2.6 TRUTHTABLES


2.7 PROPERTIES OFEQUALITY ANDCONGRUENCE


2.8 TWO-COLUMNPROOFS


Introduction


This chapter explains how to reason and how to use reasoning to prove theorems about angle pairs and segments.
This chapter also introduces the properties of congruence, which will also be used in proofs. Subsequent chapters
will combine what you have learned in Chapters 1 and 2 and build upon them.

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