• Course type: Self-paced
• Available Lessons: 103
• Average Lesson Length: 8 min
• Eligible for Certificate: Certificate completed Yes

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### Course Summary

This course offers online help for the Discovering Geometry: An Investigative Approach textbook. It uses simple and fun videos to help students learn geometry and earn a better grade. The course effectively teaches all the important geometry concepts. Each of the video lessons is about five minutes long and is sequenced to align with the chapters in the Discovering Geometry: An Investigative Approach textbook. DISCOVERING GEOMETRY is a registered trademark of Angela H. Snead. Study.com has no affiliation with and is not endorsed by Angela H. Snead, by Michael Serra, the author and copyright holder of Discovering Geometry: An Investigative Approach; or by Kendall Hunt Publishing, the textbook's publisher textbook.
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Course Practice Test

Check your knowledge of this course with a 50-question practice test.
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• Detailed video explanations for wrong answers
Week {{::cp.getGoalWeekForTopic(0, 13)}}
Ch 1. Discovering Geometry Chapter 1: Introducing Geometry {{cp.topicAssetIdToProgress[36865].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Undefined Terms of Geometry: Concepts & Significance
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Lesson 2 - Line Segments & Rays: Definition & Measurement
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Lesson 3 - Points, Lines & Angles in Geometry
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Lesson 4 - Logic Laws: Converse, Inverse, Contrapositive & Counterexample
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Lesson 5 - What Are Polygons? - Definition and Examples
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Lesson 6 - Regular Polygons: Definition & Parts
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Lesson 7 - Classifying Triangles by Angles and Sides
Score: {{cp.lessonAssetIdToProgress[14339].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14339].bestScoreQuestions}}  Take Quiz Optional
Lesson 8 - Properties of Shapes: Rectangles, Squares and Rhombuses
Score: {{cp.lessonAssetIdToProgress[2400].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2400].bestScoreQuestions}}  Take Quiz Optional
Lesson 9 - Properties of Shapes: Quadrilaterals, Parallelograms, Trapezoids, Polygons
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Lesson 10 - Properties of Shapes: Circles
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Lesson 11 - Measurements of Angles Involving Tangents, Chords & Secants
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Lesson 12 - Properties and Postulates of Geometric Figures
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Lesson 13 - Parallel, Perpendicular and Transverse Lines
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Lesson 14 - How to Solve Visualizing Geometry Problems
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Week {{::cp.getGoalWeekForTopic(1, 13)}}
Ch 2. Discovering Geometry Chapter 2: Reasoning in Geometry {{cp.topicAssetIdToProgress[36866].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Inductive & Deductive Reasoning in Geometry: Definition & Uses
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Lesson 2 - Mathematical Induction: Uses & Proofs
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Lesson 3 - Working with Geometric Sequences
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Lesson 4 - What is a Mathematical Sequence?
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Lesson 5 - Special Sequences and How They Are Generated
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Lesson 6 - Critical Thinking and Logic in Mathematics
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Lesson 7 - Converse of a Statement: Explanation and Example
Score: {{cp.lessonAssetIdToProgress[14435].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14435].bestScoreQuestions}}  Take Quiz Optional
Lesson 8 - Vertical Angles & Complementary Angles: Definition & Examples
Score: {{cp.lessonAssetIdToProgress[20054].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[20054].bestScoreQuestions}}  Take Quiz Optional
Lesson 9 - Types of Angles: Vertical, Corresponding, Alternate Interior & Others
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Lesson 10 - Using Converse Statements to Prove Lines Are Parallel
Score: {{cp.lessonAssetIdToProgress[13678].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13678].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(2, 13)}}
Ch 3. Discovering Geometry Chapter 3: Using Tools of Geometry {{cp.topicAssetIdToProgress[36867].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Geometric Constructions Using Lines and Angles
Score: {{cp.lessonAssetIdToProgress[14012].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14012].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Line Segment Bisection & Midpoint Theorem: Geometric Construction
Score: {{cp.lessonAssetIdToProgress[14013].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14013].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Constructing Perpendicular Lines in Geometry
Score: {{cp.lessonAssetIdToProgress[14014].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14014].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Constructing an Angle Bisector in Geometry
Score: {{cp.lessonAssetIdToProgress[14015].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14015].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Constructing a Parallel Line Using a Point Not on the Given Line
Score: {{cp.lessonAssetIdToProgress[13754].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13754].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Constructing Triangles: Types of Geometric Construction
Score: {{cp.lessonAssetIdToProgress[14343].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14343].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - Constructing Similar Polygons
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Lesson 8 - Properties of Concurrent Lines in a Triangle
Score: {{cp.lessonAssetIdToProgress[14344].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14344].bestScoreQuestions}}  Take Quiz Optional
Lesson 9 - Inscribed and Circumscribed Figures: Definition & Construction
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Lesson 10 - Constructing the Median of a Triangle
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Week {{::cp.getGoalWeekForTopic(3, 13)}}
Ch 4. Discovering Geometry Chapter 4: Discovering and Proving Triangle Properties {{cp.topicAssetIdToProgress[36868].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Measuring the Angles of Triangles: 180 Degrees
Score: {{cp.lessonAssetIdToProgress[13681].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13681].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Congruency of Isosceles Triangles: Proving the Theorem
Score: {{cp.lessonAssetIdToProgress[14442].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14442].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Interior and Exterior Angles of Triangles: Definition & Examples
Score: {{cp.lessonAssetIdToProgress[14340].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14340].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Triangle Congruence Postulates: SAS, ASA & SSS
Score: {{cp.lessonAssetIdToProgress[14433].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14433].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - The AAS (Angle-Angle-Side) Theorem: Proof and Examples
Score: {{cp.lessonAssetIdToProgress[14436].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14436].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Congruence Proofs: Corresponding Parts of Congruent Triangles
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Lesson 7 - Direct Proofs: Definition and Applications
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Lesson 8 - Angle Bisector Theorem: Proof and Example
Score: {{cp.lessonAssetIdToProgress[14440].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14440].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(4, 13)}}
Ch 5. Discovering Geometry Chapter 5: Discovering and Proving Polygon Properties {{cp.topicAssetIdToProgress[36869].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - How to Measure the Angles of a Polygon & Find the Sum
Score: {{cp.lessonAssetIdToProgress[13682].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13682].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Kites in Geometry: Definition and Properties
Score: {{cp.lessonAssetIdToProgress[13448].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13448].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Trapezoid: Definition, Properties & Formulas
Score: {{cp.lessonAssetIdToProgress[8740].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[8740].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - What Is a Rhombus? - Definition and Properties
Score: {{cp.lessonAssetIdToProgress[13446].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13446].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Rectangles: Definition, Properties & Construction
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Lesson 6 - Squares: Definition and Properties
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Lesson 7 - Parallelograms: Definition, Properties, and Proof Theorems
Score: {{cp.lessonAssetIdToProgress[13444].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13444].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(5, 13)}}
Ch 6. Discovering Geometry Chapter 6: Discovering and Proving Circle Properties {{cp.topicAssetIdToProgress[36870].percentComplete}}% complete
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Lesson 1 - Tangent of a Circle: Definition & Theorems
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Lesson 2 - Central and Inscribed Angles: Definitions and Examples
Score: {{cp.lessonAssetIdToProgress[13861].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13861].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Circular Arcs and Circles: Definitions and Examples
Score: {{cp.lessonAssetIdToProgress[13860].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13860].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - How to Find the Measure of an Inscribed Angle
Score: {{cp.lessonAssetIdToProgress[13863].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13863].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Diameter and Circumference Related with Pi
Score: {{cp.lessonAssetIdToProgress[15240].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[15240].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Measure of an Arc: Process & Practice
Score: {{cp.lessonAssetIdToProgress[13862].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13862].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(6, 13)}}
Ch 7. Discovering Geometry Chapter 7: Transformations and Tessellations {{cp.topicAssetIdToProgress[36871].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Transformations in Math: Definition & Graph
Score: {{cp.lessonAssetIdToProgress[3761].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[3761].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Recognizing Symmetry Graphically, Algebraically, and Numerically About the X-axis and Y-axis
Score: {{cp.lessonAssetIdToProgress[14378].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14378].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Recognizing Symmetry Graphically, Algebraically & Numerically About the Origin
Score: {{cp.lessonAssetIdToProgress[14379].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14379].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Transformations: How to Shift Graphs on a Plane
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Week {{::cp.getGoalWeekForTopic(7, 13)}}
Ch 8. Discovering Geometry Chapter 8: Area {{cp.topicAssetIdToProgress[36872].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Measuring the Area of a Rectangle: Formula & Examples
Score: {{cp.lessonAssetIdToProgress[13450].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13450].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Measuring the Area of a Parallelogram: Formula & Examples
Score: {{cp.lessonAssetIdToProgress[13445].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13445].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Area of Triangles and Rectangles
Score: {{cp.lessonAssetIdToProgress[2402].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2402].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Measuring the Area of a Trapezoid
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Lesson 5 - Area of Complex Figures
Score: {{cp.lessonAssetIdToProgress[10607].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[10607].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Measuring the Area of Regular Polygons: Formula & Examples
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Lesson 7 - Circles: Area and Circumference
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Lesson 8 - Arc Length of a Sector: Definition and Area
Score: {{cp.lessonAssetIdToProgress[13868].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13868].bestScoreQuestions}}  Take Quiz Optional
Lesson 9 - What is Surface Area? - Definition & Formulas
Score: {{cp.lessonAssetIdToProgress[10381].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[10381].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(8, 13)}}
Ch 9. Discovering Geometry Chapter 9: The Pythagorean Theorem {{cp.topicAssetIdToProgress[36873].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - The Pythagorean Theorem: Practice and Application
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Lesson 2 - The Pythagorean Theorem: Converse and Special Cases
Score: {{cp.lessonAssetIdToProgress[14102].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14102].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Special Right Triangles: Types and Properties
Score: {{cp.lessonAssetIdToProgress[14201].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14201].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Finding Distance with the Pythagorean Theorem
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Lesson 5 - How to Use The Distance Formula
Score: {{cp.lessonAssetIdToProgress[3744].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[3744].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Graphing Circles: Identifying the Formula, Center and Radius
Score: {{cp.lessonAssetIdToProgress[3420].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[3420].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(9, 13)}}
Ch 10. Discovering Geometry Chapter 10: Volume {{cp.topicAssetIdToProgress[36874].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Planes and the Polyhedron: Definition and Example
Score: {{cp.lessonAssetIdToProgress[13831].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13831].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - What Are Platonic Solids? - Definition and Types
Score: {{cp.lessonAssetIdToProgress[13832].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13832].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Prisms: Definition, Area & Volume
Score: {{cp.lessonAssetIdToProgress[13833].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13833].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - What Are Cylinders? - Definition, Area & Volume
Score: {{cp.lessonAssetIdToProgress[13835].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13835].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Pyramids: Definition, Area & Volume
Score: {{cp.lessonAssetIdToProgress[13834].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13834].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Cones: Definition, Area & Volume
Score: {{cp.lessonAssetIdToProgress[13836].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13836].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - Volume of Cylinders, Cones, and Spheres
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Lesson 8 - Volume of Prisms and Pyramids
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Lesson 9 - Using Displacement to Calculate the Volume of an Object
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Lesson 10 - Spheres: Definition, Area & Volume
Score: {{cp.lessonAssetIdToProgress[13837].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[13837].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(10, 13)}}
Ch 11. Discovering Geometry Chapter 11: Similarity {{cp.topicAssetIdToProgress[36875].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Similar Polygons: Definition and Examples
Score: {{cp.lessonAssetIdToProgress[14097].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14097].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Properties of Congruent and Similar Shapes
Score: {{cp.lessonAssetIdToProgress[10603].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[10603].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - How to Identify Similar Triangles
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Lesson 4 - Applications of Similar Triangles
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Lesson 5 - The Transitive Property of Similar Triangles
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Lesson 6 - Median, Altitude, and Angle Bisectors of a Triangle
Score: {{cp.lessonAssetIdToProgress[14342].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14342].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - Angle Bisector Theorem: Definition and Example
Score: {{cp.lessonAssetIdToProgress[14223].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14223].bestScoreQuestions}}  Take Quiz Optional
Lesson 8 - Applying Scale Factors to Perimeter, Area, and Volume of Similar Figures
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Lesson 9 - Triangle Proportionality Theorem
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Week {{::cp.getGoalWeekForTopic(11, 13)}}
Ch 12. Discovering Geometry Chapter 12: Trigonometry {{cp.topicAssetIdToProgress[36876].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Practice Finding the Trigonometric Ratios
Score: {{cp.lessonAssetIdToProgress[14899].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14899].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - How to Solve Trigonometric Equations for X
Score: {{cp.lessonAssetIdToProgress[3428].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[3428].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Law of Sines: Definition and Application
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Lesson 4 - Law of Cosines: Definition and Application
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Lesson 5 - Solving Real World Problems Using the Law of Cosines
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Week {{::cp.getGoalWeekForTopic(12, 13)}}
Ch 13. Discovering Geometry Chapter 13: Geometry as a Mathematical System {{cp.topicAssetIdToProgress[36877].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Euclid's Axiomatic Geometry: Developments & Postulates
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Lesson 2 - Geometric Proofs: Definition and Format
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Lesson 3 - Perpendicular Bisector Theorem: Proof and Example
Score: {{cp.lessonAssetIdToProgress[14439].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14439].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Geometric Proofs for Polygons
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Lesson 5 - The Parallel Postulate: Definition & Examples
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Practice Tests in this course
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