This Geometry workbook makes the fundamental concepts of geometry accessible and interesting for college students and incorporates a variety of basic algebra skills in order to show the connection between Geometry and Algebra.
Table of Contents
H. A Brief History of Geometry
1. Basic Geometry Concepts An Overview of this Supplement Points, Lines, and Planes Between Points Congruent
Objects and Bisectors Solving Word Problems in Geometry Construction Example: Using a Straight-Edge and Compass
to Bisect a Line Segment Geometry Project #1: The History of Geometry
2. More about Angles Measuring and Classifying Angles Notation for Angle Measure and Congruence Common Relationships
Between Angles Complementary and Supplementary Parallel Lines Cut by a Transversal Construction Example: Using
a Straight Edge and Compass to Bisect an Angle Geometry Project #2: Proofs in Geometry
3. Triangles The Practical Nature of Triangles Classifying Triangles The Angles of a Triangle Right Triangles:
The Pythagorean Theorem Comparing the Sides and Angles of a Triangle Geometry Project #3: Proofs in Geometry
4. More about Triangles: Similarity and Congruence Congruent Triangles Congruence Theorems Similar Triangles
Special Right Triangles Geometry Project #4: Finding the Height of a Building
5. Quadrilaterals Classifying Quadrilaterals The Angles of a Quadrilateral Diagonals Geometry Project #5: Quadrilaterals
and Bisectors
6. Polygons Identifying and Classifying Polygons Theorems about Polygons Geometry Project #6: The Area of a
Regular Hexagon
7. Area and Perimeter Perimeter Area Derived Area Formulas More Complex Shapes Geometry Project #7: Your Dream
House
8. Circles Definitions and Terminology Area and Circumference Arc Length and Sectors Geometry Project #8: Proofs
in Geometry
9. Volume and Surface Area Volume Formulas for the Cube, Rectangular Solid, Cylinder, and Prism The Sphere Cones
and Pyramids Surface Area Geometry Project #9: Approximating Volumes
10. Basic Trigonometry Terminology Associated With Ratios in a Right Triangle Finding Unknown Values Trigonometric
Ratio Values for Special Triangles Geometry Project #10: Trig Meets World