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Geometry
Geometry Resources
Introductory Video (4:20)
Syllabus
Textbooks
Tools for Mastering Mathematics Book
Euclid - Elements of Geometry
9. Surfaces and Solids
9.1. Prisms, Area, and Volume (5:51)
9.2. Pyramids, Area, and Volume (3:28)
9.3. Cylinders and Cones (3:33)
9.4. Polyhedrons and Spheres (4:51)
Perspective on History/Application
Review Exercises/Chapter Test
10. Analytic Geometry
10.1. The Rectangular Coordinate System (17:08)
10.2. Graphs of Linear Equations and Slope
10.3. Preparing to Do Analytic Proofs
10.4. Analytic Proofs
10.5. Equations of Lines
Perspective on History/Application
Review Exercises/Chapter Test
11. Introduction to Trigonometry
11.1. The Sine Ratio and Applications
11.2. The Cosine Ratio and Applications
11.3. The Tangent Ratio and Other Ratios
11.4. Applications with Acute Triangles
Perspective on History/Application
Review Exercises/Chapter Test
1. Line and Angle Relationships
1.1. Sets, Statements, and Reasoning
1.2. Informal Geometry and Measurement
1.3. Early Definitions and Postulates
1.4. Angles and Their Relationships
1.5. Introduction to Geometric Proof
1.6. Relationship: Perpendicular Lines
1.7. The Formal Proof of a Theorem
Perspective on History/Application
Review Exercises/Chapter Test
2. Parallel Lines
2.1. The Parallel Postulate and Special Angles
2.2. Indirect Proof
2.3. Proving Lines Parallel
2.4. The Angles of a Triangle
2.5. Convex Polygons
2.6 Symmetry and Transformations
Perspective on History/Application
Review Exercises/Chapter Test
3. Triangles
3.1. Congruent Triangles
3.2. Corresponding Parts of Congruent Triangles
3.3. Isosceles Triangles
3.4. Basic Constructions Justified
3.5. Inequalities in a Triangle
Perspective on History/Application
Review Exercises/Chapter Test
4. Quadrilaterals
4.1. Properties of a Parallelogram
4.2. The Parallelogram and Kite
4.3. The Rectangle, Square, and Rhombus
4.4. The Trapezoid
Perspective on History/Application
Review Exercises/Chapter Test
5. Similar Triangles
5.1. Ratios, Rates, and Proportions
5.2. Similar Polygons
5.3. Proving Triangles Similar
5.4. The Pythagorean Theorem
5.5. Special Right Triangles
5.6. Segments Divided Proportionally
Perspective on History/Application
Review Exercises/Chapter Test
6. Circles
6.1. Circles and Related Segments and Angles
6.2. More Angle Measures in the Circle
6.3. Line and Segment Relationships in the Circle
6.4. Some Constructions and Inequalities for the Circle
Perspective on History/Application
Review Exercises/Chapter Test
7. Locus and Concurrence
7.1. Locus of Points
7.2. Concurrence of Lines
7.3. More About Regular Polygons
Perspective on History/Application
Review Exercises/Chapter Test
8. Areas of Polygons and Circles
8.1. Area of Initial Postulates
8.2. Perimeter and Area of Polygons
8.3. Regular Polygons and Area
8.4. Circumference and Area of a Circle
8.5. More Area Relationships in the Circle
Perspective on History/Application
Review Exercises/Chapter Test
5.4. The Pythagorean Theorem
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