1. G6 - Deductive Reasoning

2. Comparison of Inductive and Deductive Reasoning

3. Comparison of Inductive and Deductive Reasoning

4. Types of proof
A paragraph proof

5. Types of proof
A two column proof: Most commonly used. Has numbered statements and reasons that show the logical order of an argument.

6. Types of proof
A flow chart proof

7. Justification in Proofs using Properties of equality

8. Properties of Congruence
Congruence is reflexive, symmetric, and transitive.
Examples:
Reflexive: For any angle A, A ≅ A.
Symmetric: If A ≅ B, then B ≅ A
Transitive: If A ≅ B and B ≅ C, then A ≅ C.

9. Definition of … Examples:
Used when using a definition of defined term to justify statements
Examples:
Congruent to equal:
Given AB ≅ CD Conclusion AB = CD Def. of congruent segments
Equal to congruent:
Given AB = CD
Conclusion AB ≅ CD Def. of congruent segments

10. Definition of …

11. Definition of … Midpoint:
Given M is the midpoint of AB Conclusion AM ≅ MB Def. of midpoint
Segment Bisector:
Given AB bisects CD at E
Conclusion CE ≅ ED Def. of segment bisector

12. Definition of …