Constructions | Studies in Geometry Series
Constructions | Studies in Geometry Series
Constructions | Studies in Geometry Series
Constructions | Studies in Geometry Series

Constructions

Constructions

  • Topics include: Segment Constructions; Angles Constructions; Constructions Based on Congruent Triangle Theorems; Special Segments in Triangles; Circle Constructions.

    Table Of Contents

    ABOUT THIS BOOK

    CHAPTER 1:  Construction:  A Beginning
    Constructions
    What is a construction?
    What can be constructed?
    Using a Compass
    What do line segments, arcs, & angles look like?
    What does it mean to "measure" without a ruler or a protractor?
    What does it mean to intersect?
    Following directions matters.
    Congruent Objects
    How do I use this book?
    Should you erase all those marks?
    Helpful Hints

    CHAPTER 2:  Segment Construction
    Congruent Segments
    Segment Additions
    Perpendicular Segments
    Perpendicular Bisectors

    CHAPTER 3:  Angle Construction
    Congruent Angles
    Angle Additions
    Angle Bisectors
    Parallel Lines
    Parallelograms
    Rectangles
    Squares
    45 Angles
    Right Triangles
    Equilateral Triangles
    30 Angles
    Isosceles Triangles

    CHAPTER 4:  Constructions Based on Congruent Triangle Theorems
    A Triangle from 2 Given Angles & 1 Given Segment
    A Triangle from 2 Given Segments & 1 Given Angle
    A Triangle Congruent to a Given Triangle

    CHAPTER 5:  Special Segments in Triangles
    Angle Bisectors
    Perpendicular Bisectors
    Medians
    Altitudes

    CHAPTER 6:  Circle Constructions
    Tangents to a Circle
    A Circle Circumscribing a Triangle
    A Circle Inscribed in a Triangle

    CONSTRUCTIONS EXAM

    GLOSSARY


    ANSWER KEY

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