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Mathematics 7 Online
rosline0909:

How is inductive reasoning used in geometry? A. Inductive reasoning is never used in geometry. B. Inductive reasoning is used to support a mathematical proof. C. Inductive reasoning is used to create a hypothesis, which can lead to a discovery and/or a proof. D. Inductive reasoning is used to prove algebraic rules that describe patterns.

SmokeyBrown:

Hi rosline, and welcome to QuestionCove. Inductive reasoning is when you use specific observations to make broad generalizations. With this in mind, I think creating a hypothesis best fits the definition. An example of inductive reasoning might go like this: I notice that for all the triangles I've seen, the angle measures add up to 180 degrees. I use this observation to make a hypothesis that all triangles have angle measures that add up to 180 degrees For comparison, deductive reasoning uses generalized rules to make a specific conclusion. For example, if I know that shape is a square and I know that all squares are also rectangles, then I can deduce from the general rule that this particular shape is a rectangle.

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