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Chapter One Study Guide

Page history last edited by Gregory Oelrichs 1 yr ago

CH1Studyguide.doc

 

Study Guide for Chapter 1: Introducing Geometry

 

Concept:  In this first chapter we will be looking at the building blocks and vocabulary of Geometry.  Although we will be learning about many shapes that you have seen before, our focus will be on making good definitions by using counterexamples.  This chapter is crucial for the chapters that follow as we will be building on each of these definitions to better understand properties of these shapes in later chapters.

 

Objectives:  Here are the tasks that you are responsible for accomplishing:

 

1)  Identify a point, line and plane.  We call these undefined terms, because we have decided what they are and what they mean in the beginning.  We will use these terms to define the following words:

 

2)  Build a strong understanding of the following terms, including how to identify and draw associated symbols to aid in defining different shapes.

 

Angle

Midpoint

Straight Angle

Angle

Perpendicular

Line Segment

Right Angle

Perpendicular

Parallel

Congruent Segments

Acute Angle

Parallel

Collinear

Congruent Angles

Obtuse Angle

 

Coplanar

Endpoint

Angle Bisector

 

 

3)  Define and learn the shapes and terms below in our geometry notebooks using the terms from above, as well as how to draw and mark them appropriately with the correct symbols.

 

Polygon Diagonal

Scalene Triangle

Square

Semicircle

 

Convex Polygon

Equilateral Triangle

Circle

Chord

 

Concave Polygon

Isosceles Triangle

Radius

Tangent

 

Congruent Polygon

Trapezoid

Diameter

Venn Diagram

 

Equilateral Polygon

Kite

Congruent Circles

Tree Diagram

 

Right Triangle

Parallelogram

Concentric Circles

 

 

Acute Triangle

Rhombus

Arc of a Circle

 

 

Obtuse Triangle

Rectangle

Endpoints of Arc

 

 

 

 

 

 

 

 

4)  Algebra/Graphing Review:  a) Midpoint formula  b) How to find the midpoint  c) How to find a missing endpoint given one endpoint and a midpoint.

 

5) Become familiar with a protractor: how to use it to measure and draw angles accurately.

 

6) Explain the components of a good definition, and identify counterexamples for a bad definition.

 

7) Illustrate relationships between the above terms through Venn Diagrams and Tree Diagrams.

 

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