Inductive reasoning occurs when after noting several observations, one can propose a rule governing the situation. For example, a student notices that 1 times 13 = 13 and 1 times 14 = 14 and 1times 15 = 15. The student concludes that 1 times any number will be the same number. Or as another example, a student notices that for the past 3 Fridays, his math teacher gives a quiz. Today is Friday and the student thinks, 'I bet we have a quiz in math class today.'
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inductive reasoning
examples of analogical reasoning
Inductive
This would be an hypothesis (an educated guess).
One example of analogy reasoning in geometry is when you have to figure out what type of triangle a triangle is. For example, if you have a triangle with three sides and you can tell the sides are the same size, you can deduce you have an equilateral triangle, even without measuring it.