
Elementary Geometry for College Students
by Alexander, Daniel C.; Koeberlein, Geralyn M.Rent Textbook
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Summary
Table of Contents
Preliminary Contents | |
Line and Angle Relations | |
Sets, statements and reasoning | |
Informal geometry and measurement | |
Early definitions and postulates | |
Angles and their relationships | |
Introduction to geometric proof | |
Relationships: perpendicular lines | |
The formal proof of a theorem | |
Parallel Lines | |
The parallel postulate and special angles | |
Indirect proof | |
Proving lines parallel | |
The angles of a triangle | |
Convex polygons | |
Symmetry and transformations | |
Triangles | |
Congruent triangles | |
Corresponding parts of congruent triangles | |
Isosceles triangles | |
Basic constructions justified | |
Inequalities in a triangle | |
Quadrilaterals | |
Properties of a parallelogram | |
The parallelogram and kite | |
The rectangle, square, and rhombus | |
The trapezoid | |
Similar Triangles | |
Ratios, Rates, and Proportions | |
Similar Polygons | |
Proving Triangles Similar | |
The Pythagorean Theorem | |
Special Right Triangles | |
Segments Divided Proportionately | |
Circles | |
Circles and Related Segments and Angles | |
More Angle Relationships in the Circle | |
Line and Segment Relationships in the Circle | |
Some Constructions and Inequalities for the Circle | |
Locus of Points | |
Concurrence of Lines | |
Areas of Polygons and Circles | |
Area and initial postulates | |
Perimeter and area of polygons | |
Regular polygons and area | |
Circumference and area of a circle | |
More area relationships in the circle | |
Surfaces and Solids | |
Prisms, area, and volume | |
Pyramids, area, and volume | |
Cylinders and cones | |
Polyhedrons and spheres | |
Analytic Geometry | |
The Rectangular Coordinate System | |
Graphs of Linear Equations and Slope | |
Preparing to do Analytic Proofs | |
Analytic Proofs | |
Equations of Lines | |
Introduction to Trigonometry | |
The Sine Ratio and Applications | |
The Cosine Ratio and Applications | |
The Tangent Ratio and Other Ratios | |
Applications to Acute Triangles | |
Table of Contents provided by Publisher. All Rights Reserved. |
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