# Chapter 2: Reasoning and Proof

Difficulty Level:

**Basic**Created by: CK-12

This chapter explains how to use reasoning to prove theorems about angle pairs and segments. This chapter also introduces the properties of congruence, which will be used in 2-column proofs.

Chapter Outline

- 2.1.
## Inductive Reasoning

- 2.2.
## Conditional Statements

- 2.3.
## Deductive Reasoning

- 2.4.
## Algebraic and Congruence Properties

- 2.5.
## Proofs about Angle Pairs and Segments

- 2.6.
## Chapter 2 Review

- 2.7.
## Study Guide

### Chapter Summary

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This chapter gives students an introduction to the concepts surrounding proofs. Included topics are inductive reasoning, conditional statements, and properties of congruence.

Difficulty Level:

Basic
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angle pairs
biconditional statements
CK.MAT.ENG.SE.1.Geometry-Basic.2
(18 more)
conclusion
conditional statements
congruence
conjecture
contrapositive
converse
counterexamples
deductive reasoning
hypothesis
if-then statement
inductive reasoning
inverse
Law of Contrapositive
Law of Detachment
Law of Syllogism
logic
patterns
proof

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patterns
inverse
angle pairs
(18 more)
congruence
Law of Syllogism
Law of Contrapositive
Law of Detachment
logic
deductive reasoning
biconditional statements
conclusion
if-then statement
contrapositive
converse
conditional statements
counterexamples
conjecture
inductive reasoning
proof
CK.MAT.ENG.SE.1.Geometry-Basic.2

Date Created:

Aug 07, 2013
Last Modified:

Jan 14, 2016
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