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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. Inductive reasoning takes specific examples and makes sweeping general conclusions. Conclusion by inductive reasoning: My math teacher is skinny My last math teacher was skinny All math teachers are cool All math teachers are skinny All math teachers are short. By inductive reasoning (using the specific examples to make a general rule to add 10) the next term is... Inductive reasoning is used to find the next term in a pattern: 10, 20, 30, 40, 50, Inductive reasoning Deductive reasoning All even numbers are divisible by 2 28 is even Therefore 28 is divisible by 2 Inductive reasoning Deductive reasoning 3,6,9,12,15, The next term is going to be 18 Inductive reasoning Deductive reasoning My daddy has curly hair My brother has curly hair Therefore everyone I am related to has curly hair Inductive reasoning Deductive reasoning An apple a day keeps the doctor away. Joe ate an apple every day. Dr. Dre stayed away. Inductive reasoning Deductive reasoning Jimmy got bitten by a dog . Jimmy is now scared of all dogs. Inductive reasoning Deductive reasoning A line segment is broken in half by it's midpoint. B is the midpoint of segment AC. Therefore, BA = BC 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) Deductive reasoning Inductive reasoning 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. |