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Chapter Two Study Guide

Page history last edited by Gregory Oelrichs 2 yrs ago
 

Study guide for Chapter 2: Reasoning in Geometry

 
Concept: In the chapter we will be looking at basic shapes and symbols of Geometry. In this next chapter we will be looking at two different ways to solve problems: through inductive and deductive reasoning. We will make discoveries by observing common patterns—a process called inductive reasoning. Then, with deductive reasoning we can the test our discoveries by showing that they follow logically from agreed-upon definitions. We will also learn about vertical angles and linear pairs.  
 
Objectives: Here are the tasks that you are responsible for accomplishing:
 
1) Memorize and understand the meaning of the following terms:
 

inductive reasoning
deductive reasoning
 
linear functions
conjecture
triangular numbers
network
vertical angles conjecture
linear pair conjecture
mathematical models
concurrent
converse
function rule
Paragraph proof
transversal
corresponding angles
alternate interior angles
alternate exterior angles
CA conjecture
AIA conjecture
AEA conjecture
parallel lines conjecture
converse of the parallel lines conjecture
slope

 
2)  Recognize the difference between inductive and deductive reasoning.
3) Recognize patterns and be able to form conjectures about the patterns you see.
4) Be able to apply the function rule to patterns of numbers.
5) Apply CA, AIA, AEA, parallel lines, converse of parallel lines, vertical angles and linear pair conjecture to geometric figures
6) Understand how the above conjectures can be formed both through inductive and deductive investigation.
7) Use slope formula to figure out the measure of a line’s steepness.
 

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