Constructions: Creating Geometric Figures (Studies in Geometry)

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