Constructions: Creating Geometric Figures (Studies in Geometry)

Constructions: Creating Geometric Figures (Studies in Geometry)

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Topics include: Segment Constructions; Angles Constructions; Constructions Based on Congruent Triangle Theorems; Special Segments in Triangles; Circle Constructions.<br><br>Table Of Contents<br>ABOUT THIS BOOK<br><br>CHAPTER 1: Construction: A Beginning<br>Constructions<br>What is a construction?<br>What can be constructed?<br>Using a Compass<br>What do line segments, arcs, & angles look like?<br>What does it mean to "measure" without a ruler or a protractor?<br>What does it mean to intersect?<br>Following directions matters.<br>Congruent Objects<br>How do I use this book?<br>Should you erase all those marks?<br>Helpful Hints<br><br>CHAPTER 2: Segment Construction<br>Congruent Segments<br>Segment Additions<br>Perpendicular Segments<br>Perpendicular Bisectors<br><br>CHAPTER 3: Angle Construction<br>Congruent Angles<br>Angle Additions<br>Angle Bisectors<br>Parallel Lines<br>Parallelograms<br>Rectangles<br>Squares<br>45° Angles<br>Right Triangles<br>Equilateral Triangles<br>30° Angles<br>Isosceles Triangles<br><br>CHAPTER 4: Constructions Based on Congruent Triangle Theorems<br>A Triangle from 2 Given Angles & 1 Given Segment<br>A Triangle from 2 Given Segments & 1 Given Angle<br>A Triangle Congruent to a Given Triangle<br><br>CHAPTER 5: Special Segments in Triangles<br>Angle Bisectors<br>Perpendicular Bisectors<br>Medians<br>Altitudes<br><br>CHAPTER 6: Circle Constructions<br>Tangents to a Circle<br>A Circle Circumscribing a Triangle<br>A Circle Inscribed in a Triangle<br><br>CONSTRUCTIONS EXAM<br><br>GLOSSARY<br><br><br>ANSWER KEY