Synopses & Reviews
About the Contents:
Pretest
Helps you pinpoint where you need the most help and directs you to the corresponding sections of the book
Topic Area Reviews
Basic geometry ideas
Parallel lines
Triangles
Polygons
Perimeter and area
Similar figures
Right angles
Circles
Solid geometry
Coordinate geometry
Customized Full-Length Exam
Covers all subject areas
Appendix
Postulates and theorems
Synopsis
The book is organized by topic, with problems and solutions throughout: Pretest at the beginning of workbook with answers; according to which answers they get wrong, readers are directed to different sections of the workbook (pinpoints where to begin for those using the book as a review). Chapters include explanatory problems/solutions throughout. Exam covering entire subject provided at workbook-end; answers provided Index
About the Author
Formerly an instructor at Fairleigh Dickinson University, DAVID ALAN HERZOGis the author of over 100 audio visual titles and computer programs, and has written and edited several books in mathematics and science.
Table of Contents
Pretest.Chapter 1:Basic Geometric Ideas.
Naming Basic Forms.
Postulates and Theorems.
Finding Segments, Midpoints, and Rays.
Angles and Angle Pairs.
Special Angle Pairs.
Special Lines and Segments.
Chapter 2:Parallel Lines.
Angles Created by Lines and a Transversal.
Proving Lines Parallel.
Chapter 3:Triangles.
Sum of Angle Measure.
Exterior Angles.
Classifying Triangles by Angles.
Classifying Triangles by Sides.
Specially Named Sides and Angles.
Segments Inside and Outside Triangles.
Congruent Triangles.
Isosceles Triangles.
Triangle Inequality Theorems.
Chapter 4:Polygons.
Types of Polygons.
Angle Sums.
Quadrilaterals.
Proofs of Parallelograms.
Special Parallelograms.
Special Trapezoids.
The Midpoint Theorem.
Chapter 5:Perimeter and Area.
Squares and Rectangles.
Triangles.
Parallelograms.
Trapezoids.
Regular Polygons.
Circles.
Chapter 6:Similar Figures.
Ratio and Proportion.
Properties of Proportions.
Similar Polygons.
Similar Triangles.
Proportional Parts of Triangles.
Proportional Parts of Similar Triangles.
Perimeter and Areas of Similar Triangles.
Chapter 7:Right Triangles.
Geometric Mean.
Altitude to the Hypotenuse.
The Pythagorean Theorem.
Pythagorean Triples.
Outgrowths of the Pythagorean Theorem.
Special Right Triangles.
Chapter 8:Circles.
Parts of a Circle.
Central Angles and Arcs.
Some Common Sense Stuff.
Arcs and Inscribed Angles.
Angles Formed by Chords, Secants, and Tangents.
Arcs and Chords.
Segments of Chords, Secants, and Tangents.
Arc Lengths and Sectors.
Chapter 9:Solid Geometry.
Prisms.
Right Circular Cylinders.
Pyramids.
Right Circular Cones.
Spheres.
Chapter 10:Coordinate Geometry.
Locating Points on Coordinate Axes.
The Distance Formula.
The Midpoint Formula.
Slope of a Line.
Slopes of Parallel and Perpendicular Lines.
Equations of Lines.
Customized Full-Length Exam.
Appendix:Postulates and Theorems.
Index.