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.
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Angle
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Midpoint
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Straight Angle
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Angle
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Perpendicular
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Line Segment
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Right Angle
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Perpendicular
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Parallel
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Congruent Segments
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Acute Angle
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Parallel
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Collinear
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Congruent Angles
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Obtuse Angle
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Coplanar
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Endpoint
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Angle Bisector
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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.
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Polygon Diagonal
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Scalene Triangle
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Square
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Semicircle
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Convex Polygon
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Equilateral Triangle
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Circle
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Chord
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Concave Polygon
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Isosceles Triangle
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Radius
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Tangent
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Congruent Polygon
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Trapezoid
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Diameter
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Venn Diagram
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Equilateral Polygon
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Kite
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Congruent Circles
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Tree Diagram
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Right Triangle
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Parallelogram
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Concentric Circles
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Acute Triangle
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Rhombus
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Arc of a Circle
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Obtuse Triangle
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Rectangle
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Endpoints of Arc
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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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