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1. DEDUCTIVE REASONING: Making logical conclusions based on definitions, theorems (facts) and properties. Joe was given this square with 4 ≅ sides.What can he conclude? FACT:IF Quadrilaterals have 4 ≅ sides THEN the quadrilateral is a rhombus. It is a quadrilateral. It is a rhombus. 2 INDUCTIVE REASONING: Takes specific examples and makes general conclusions. Conclusion by inductive reasoning: My math teacher is funny. My last math teacher was funny. All math teachers are cool All math teachers are funny. All math teachers are short. The next term is... 3. Find the next term in a pattern: 10, 20, 30, 40, 50, 4. Which type of reasoning is shown below? Inductive reasoning (use specific examples to make a general rule) Deductive reasoning ( Apply a general rule to specific examples) All even numbers are divisible by 2. 28 is even. Therefore 28 is divisible by 2. 5. Which type of reasoning is shown below? Inductive reasoning (use specific examples to make a general rule) Deductive reasoning ( Apply a general rule to specific examples) Here is a pattern. 3,6,9,12,15, The next term is going to be 18. 6. Which type of reasoning is shown below? Inductive reasoning (use specific examples to make a general rule) Deductive reasoning ( My daddy has curly hair. My brother has curly hair. Therefore everyone I am related to has curly hair. Apply a general rule to specific examples) 7. Which type of reasoning is shown below? Inductive reasoning (use specific examples to make a general rule) Deductive reasoning ( Apply a general rule to specific examples) Jimmy got bitten by a dog . Jimmy is now scared of all dogs. 8. Which type of reasoning is shown below? Inductive reasoning (use specific examples to make a general rule) Deductive reasoning A line segment is broken in half by it's midpoint. B is the midpoint of segment AC. Therefore, BA = BC ( Apply a general rule to specific examples) 9. Which type of reasoning is shown below? Inductive reasoning (use specific examples to make a general rule) Deductive reasoning ( All Speeders will be slapped Apply a general rule to specific examples) Jimmy sped Jimmy got slapped 10. Which type of reasoning is shown below? Inductive reasoning (use specific examples to make a general rule) Deductive reasoning Two episodes of the Big Bang Theory made me laugh and laugh. LOLOLOLOL Therefore, The Big Bang Theory is always funny. ( Apply a general rule to specific examples) 11. Which type of reasoning is shown below? Inductive reasoning (use specific examples to make a general rule) Deductive reasoning ( Apply a general rule to specific examples) All right angles = 90 degrees. Two angles with the same measure are congruent. ∡ABC and ∡WXY are right angles. Therefore, ∡ABC and ∡WXY are congruent. |