Geometry 2.2 Inductive/Deductive Reasoning

Front

What is inductive reasoning?

Back

Inductive reasoning is a method of reasoning in which a general conclusion is drawn from specific examples or patterns.

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What is deductive reasoning?

Back

Deductive reasoning is a logical process where a conclusion is based on the concordance of multiple premises that are generally assumed to be true.

Front

What is a conjecture in mathematics?

Back

A conjecture is an unproven statement or hypothesis that is based on observations.

Front

What is the formula for the perimeter P of a regular polygon with n sides, where each side is s?

Back

p = ns

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What is the Law of Detachment?

Back

The Law of Detachment states that if a conditional statement is true and its hypothesis is true, then the conclusion must also be true.

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What is the Law of Syllogism?

Back

The Law of Syllogism states that if 'p implies q' and 'q implies r' are both true, then 'p implies r' is also true.

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What is the Law of Contrapositive?

Back

The Law of Contrapositive states that if 'p implies q' is true, then 'not q implies not p' is also true.

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How do you find the next number in a sequence?

Back

To find the next number in a sequence, identify the pattern or rule that governs the sequence.

Front

What is a regular polygon?

Back

A regular polygon is a polygon with all sides and all angles equal.

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What is the difference between a sequence and a series?

Back

A sequence is an ordered list of numbers, while a series is the sum of the terms of a sequence.