# Ch 2: Honors Geometry: Fundamentals of Geometry Proofs

The lessons in this chapter were developed to teach you about fundamentals of geometry proofs. We have incorporated several study tools to enhance your learning experience.

## Honors Geometry: Fundamentals of Geometry Proofs - Chapter Summary and Learning Objectives

Here we provide text and video lessons to instruct you in the fundamentals of geometry proofs. Each lesson has a quiz to take at the end to assess your understanding of the material you just studied. If you need to restudy any part of a video lesson, either use the transcript or use the keyword-based timeline tool to go right to the section you need to replay. You can also ask a question of the instructor. When you have finished studying this chapter, you will be trained in:

• Euclid's axiomatic geometry
• Algebraic laws and geometric postulates
• Inductive and deductive reasoning in geometry
• Direct and indirect geometric proofs
• Converse of a statement
• Critical thinking and logic in mathematics

Lesson Objective
Euclid's Axiomatic Geometry: Developments & Postulates Learn the developments and postulates of Euclid's axiomatic geometry.
Properties and Postulates of Geometric Figures Discover the postulates of points, lines and planes.
Algebraic Laws and Geometric Postulates Analyze the basic algebraic laws and geometric postulates.
Inductive & Deductive Reasoning in Geometry: Definition & Uses Compare inductive and deductive reasoning and how they relate to geometry.
Logical Equivalence: Converse, Inverse, Contrapositive & Counterexample Get to know inverse, converse, contrapositive, counterexample and logical equivalence.
Direct & Indirect Proof: Differences & Examples Differentiate between direct and indirect proof.
Geometric Proofs: Definition and Format Get familiar with the parts that comprise geometric proofs.
Converse of a Statement: Explanation and Example Learn about the converse of a statement.
Critical Thinking and Logic in Mathematics Take a look at critical thinking and logic in mathematics.

9 Lessons in Chapter 2: Honors Geometry: Fundamentals of Geometry Proofs
Test your knowledge with a 30-question chapter practice test
Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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