Inductive vs. Deductive Reasoning
 DEDUCTIVE REASONING: Making logical conclusionsbased on definitions, theorems (facts) and properties. Joe was given this square with 4 ≅ sides.What can he conclude?FACT:IF Quadrilaterals have 4 ≅ sidesTHEN the quadrilateral is a rhombus.It is a quadrilateral.It is a rhombus. Inductive reasoning takes specific examplesand makes sweeping general conclusions.Conclusion by inductive reasoning:My math teacher is skinnyMy last math teacher was skinnyAll math teachers are coolAll math teachers are skinnyAll math teachers are short. By inductive reasoning (using the specificexamples to make a general rule to add 10)the next term is...Inductive reasoning is usedto find the next term in a pattern:10, 20, 30, 40, 50,  Inductive reasoning Deductive reasoningAll even numbers are divisible by 228 is evenTherefore 28 is divisible by 2  Inductive reasoning Deductive reasoning3,6,9,12,15,The next term is going to be 18  Inductive reasoning Deductive reasoningMy daddy  has curly hairMy brother has curly hairTherefore everyone I am related to has curly hair  Inductive reasoning Deductive reasoningAn apple a day keeps the doctor away.Joe ate an apple every day.Dr. Dre stayed away.  Inductive reasoning Deductive reasoningJimmy got bitten by a dog .Jimmy is now scared of all dogs.  Inductive reasoning Deductive reasoningA 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 reasoningTwo episodes of the Big Bang Theorymade me laugh and laugh LOLOLOLOLTherefore, The Big Bang Theory is always funny.(Apply a general rule to specific examples)  Deductive reasoning Inductive reasoningAll right angles = 90 degrees. Two angles with the same measure are congruent. ∡ABC  and ∡WXY are right angles. Therefore, ∡ABC and ∡WXY are congruent.
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