| Formatted Contents Note: |
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 30^(0):60^(0):90^(0) and 45^(0):45^(0):90^(0) 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 -- |
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