Reasoning.
An example of inductive reasoning in geometry would be estimating or figuring out a solution to a given condition and testing it to see if it applies to other conditions with similar properties.
Its opposite is deductive reasoning where one would draw a conclusion from a set of circumstances or conditions and then test or apply the same reasoning toward one instance.
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Inductive reasoning in geometry is mainly used with repetitive concepts or patterns. An example would be multiplying -7 by 2 using repeated addition, which is "-7+-7," to equal -14.
Inductive reasoning is used in geometry to arrive at a conclusion based on what one observes. It is not a method of valid proof, but can be used to arrive at conclusions, such as looking at a triangle with three sides and deducing that the three sides are the same based on the naked eye.
Both are axiomatic systems which consist of a small number of self-evident truths which are called axioms. The axioms are used, with rules of deductive and inductive logic to prove additional statements.
The descriptive statistics deals with prediction. The inductive and the deductive statistics basically deals with presumption. The inductive statistics is used in making predictions.
Inductive reasoning is used to seek strong evidence for the truth of the conclusion. Looking at different pictures side by side then trying to figure out the pattern is inductive reasoning.