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Master Math Geometry

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ISBN-10: 1564146677

ISBN-13: 9781564146670

Edition: 2004

Authors: Debra Anne Ross

List price: $19.95
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Master Math: Geometry was written for students, teachers, tutors, and parents, as well as for scientists and engineers who need to look up principles, definitions, explanations of concepts, and pertinent examples. It provides everything a high school or first year college student needs to know about Geometry including: explanation of deductive reasoning, how to perform proofs, definitions, theorems, and postulates. It includes explanations of deductive reasoning, examples pertaining to points, lines, plans, angles, and ratios, coverage on triangles, quadrilaterals, polygons, and much more!
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Book details

List price: $19.95
Copyright year: 2004
Publisher: Delmar Cengage Learning
Publication date: 7/28/2004
Binding: Paperback
Pages: 384
Size: 5.50" wide x 8.25" long x 0.50" tall
Weight: 0.880
Language: English

Debra Anne Ross has a double BA in Chemistry and Biology from the University of California, Santa Cruz, and an MS in Chemical Engineering from Stanford University.

Deductive Reasoning and Proofs
The language of geometry
Deductive reasoning
Theorems and how to write a proof
Key axioms and postulates
Chapter 1 summary and highlights
Points, Lines, Planes, and Angles
Points, lines, and planes
Line segments and distance
Parallel lines
Perpendicular lines
Distances and bisectors
Rays and angles
Chapter 2 summary and highlights
Ratios and Proportions
Ratios and proportions
Proportional segments
Chapter 3 summary and highlights
Triangles, Congruence, and Similarity
Triangle definitions, interior angle sum, and exterior angles
Types of triangles
Parts of triangles, altitude, bisector, median, and Ceva's Theorem
Inequalities and triangles
Congruent triangles
Similar triangles: Congruent angles and sides in proportion
Similar right triangles
Right triangles: Pythagorean Theorem and 30[degree]:60[degree]:90[degree] and 45[degree]:45[degree]:90[degree] triangles
Triangles and trigonometric functions
Area of a triangle
Chapter 4 summary and highlights
Polygons and Quadrilaterals
Sum of the interior and exterior angles in a polygon
Regular polygons and their interior and exterior angle measures
Special parallelograms: Rectangles, rhombuses, and squares
Area and perimeter of squares, rectangles, parallelograms, rhombuses, trapezoids, other polygons, and regular polygons
Congruence, area, and similarity
Chapter 5 summary and highlights
Gircles: Definitions
Arcs, central angles, and inscribed angles
Chords, arcs, and angles
Secants, angles, arcs, and segments
Circumference and area of circles and sectors
Circumscribed and inscribed polygons
Chapter 6 summary and highlights
Geometric Solids: Surface Area and Volume of Three-Dimensional Objects
Prisms: Cubes, rectangular solids, and oblique and right prisms
Similar solids
Cavalieri's principle
Chapter 7 summary and highlights
Constructions and Loci
Constructions involving lines and angles
Constructions involving triangles
Constructions involving circles and polygons
Construction involving area
Locus of points
Chapter 8 summary and highlights
Coordinate or Analytic Geometry
Rectangular coordinate systems: Definitions
Distance between points
Midpoint formula
Slope of a line including parallel and perpendicular lines
Defining linear equations
Graphing linear equations
Chapter 9 summary and highlights