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What is reasoning in mathematics?

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Reasoning in mathematics refers to the process of thinking logically about mathematical concepts and relationships to draw conclusions or make inferences.

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Define proof in mathematics.

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A proof is a logical argument that establishes the truth of a mathematical statement based on previously accepted statements, such as axioms and theorems.

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What is a conjecture?

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A conjecture is a statement that is believed to be true based on observations but has not yet been proven.

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What is the difference between inductive and deductive reasoning?

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Inductive reasoning involves making generalizations based on specific examples, while deductive reasoning involves applying general principles to reach specific conclusions.

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What is the Law of Syllogism?

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The Law of Syllogism states that if 'p implies q' and 'q implies r', then 'p implies r'.

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What is a counterexample?

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A counterexample is an example that disproves a conjecture or statement.

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What does it mean for two angles to be complementary?

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Two angles are complementary if the sum of their measures is 90 degrees.

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What is the definition of an acute angle?

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An acute angle is an angle that measures less than 90 degrees.

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What is the Symmetric Property of Equality?

Back

The Symmetric Property of Equality states that if a = b, then b = a.

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What is the Transitive Property of Equality?

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The Transitive Property of Equality states that if a = b and b = c, then a = c.