| Description |
vi, 363 p. : ill. ; 22 cm. |
| Note |
Includes index. |
| Contents |
1. Deductive reasoning and proofs -- 1.1. The language of geometry -- 1.2. Deductive reasoning -- 1.3. Theorems and how to write a proof -- 1.4. Key axioms and postulates -- 1.5. Chapter 1 summary and highlights -- 2. Points, lines, planes, and angles -- 2.1. Points, lines, and planes -- 2.2. Line segments and distance -- 2.3. Parallel lines -- 2.4. Perpendicular lines -- 2.5. Distances and bisectors -- 2.6. Rays and angles -- 2.7. Chapter 2 summary and highlights -- 3. Ratios and proportions -- 3.1. Ratios and proportions -- 3.2. Proportional segments -- 3.3. Chapter 3 summary and highlights -- 4. Triangles, congruence, and similarity -- 4.1. Triangle definitions, interiors angle sum, and exterior angles -- 4.2. Types of triangles -- 4.3. Parts of triangles, altitude, bisector, median, and Ceva's theorem -- 4.4. Inequalities and triangles -- 4.5. Congruent triangles -- 4.6. Similar triangles : congruent angles and sides in proportion -- 4.7. Similar right triangles -- 4.8. Right triangles : Pythagorean Theorem and 30p0s:60p0s:90p0s and 45p0s:45p0s:90p0s triangles -- 4.9. Triangles and trigonometric functions -- 4.10. Area of a triangle -- 4.11. Chapter 4 summary and highlights -- 5. Polygons and quadrilaterals -- 5.1. Polygons -- 5.2. Sum of the interior and exterior angles in a polygon -- 5.3. Regular polygons and their interior and exterior angle measures -- 5.4. Quadrilaterals -- 5.5. Parallelograms -- 5.6. Special parallelograms : rectangles, rhombuses, and squares -- 5.7. Trapezoids -- 5.8. Area and perimeter of squares, rectangles, parallelograms, rhombuses, trapezoids, other polygons, and regular polygons -- 5.9. Congruence, area, and similarity -- 5.10. Chapter 5 summary and highlights -- 6. Circles -- 6.1. Circles : definitions -- 6.2. Arcs, central angles, and inscribed angles-- 6.3. Chords, arcs, and angles-- 6.4. Secants, angles, arcs, and segments -- 6.5. Tangents -- 6.6. Circumference and area of circles and sectors -- 6.7. Circumscribed and inscribed polygons -- 6.8. Chapter 6 summary and highlights -- 7. Geometric solids : surface area and volume of three-dimensional objects -- 7.1. Solids -- 7.2. Prisms : cubes, rectangular solids, and oblique and right prisms -- 7.3. Pyramids -- 7.4. Cylinders -- 7.5. Cones -- 7.6. Spheres -- 7.7. Similar solids -- 7.8. Cavalieri's principle -- 7.9. Chapter 7 summary and highlights -- 8. Constructions and loci -- 8.1. Introduction -- 8.2.Constructions involving lines and angles -- 8.3. Constructions involving triangles -- 8.4. Constructions involving circles and polygons -- 8.5. Construction involving area -- 8.6. Locus of points -- 8.7. Chapter 8 summary and highlights -- 9. Coordinate or analytic geometry -- 9.1. Rectangular coordinate systems : definitions -- 9.2. Distance between points -- 9.3. Midpoint formula -- 9.4. Slope of a line including parallel and perpendicular lines -- 9.5. Defining linear equations -- 9.6. Graphing linear equations -- 9.7. Chapter 9 summary and highlights. |
| Subject |
Geometry.
|
| Added Title |
Geometry |
| ISBN |
1564146677 |
|
