# Chapter 2: Reasoning and Proof

Difficulty Level:

**At Grade**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

### Image Attributions

## Description

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

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angle pairs
biconditional statements
CK.MAT.ENG.SE.1.Geometry-Basic.2
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conclusion
conditional statements
congruence
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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
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if-then statement
contrapositive
converse
conditional statements
counterexamples
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CK.MAT.ENG.SE.1.Geometry-Basic.2

## Date Created:

Feb 22, 2012## Last Modified:

Apr 29, 2014
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