Chapter 7 Methods of Proof

 

The Elements of Euclid is a collection of theorems in geometry and their corresponding proofs. It has 13 books that are attributed to Euclid and is the foundation of plane geometry. The organization of knowledge and logic that are embodied in The Elements became the model for the organization, development, and presentation of knowledge in philosophy, science, and theology. 

Lesson 7.1 Direct Proof

  1. Example 1. Write a direct proof in 2-column format.
  2. Example 2. Write a direct proof in 2-column format.
  3. Example 5. Direct Proof in paragraph form. Exterior Angle Theorem
  4. Activity 7.1 Answers to selected exercises

Lesson 7.2 Indirect Proof

  1. Example 3. Indirect proof by contrapositive
  2. Example 7. Proof by contradiction in 2-column format
  3. Example 8. Proof by contradiction in paragraph form
  4. Example 10. Proof by contradiction in paragraph form
  5. Activity 7.2 Selected proofs to propositions using direct and indirect methods
  6. Activity 7.2 Disproof by counter-example


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