Geometry - 2.1 and 2.2 Review

Front

What is deductive reasoning?

Back

Reasoning based on facts, definitions, accepted properties, and the laws of logic.

Front

What is inductive reasoning?

Back

Reasoning based on specific examples and patterns used to form conjectures.

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What is a counterexample?

Back

An example used to prove that a conjecture is false.

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If all A are B and all B are C, what can we conclude about A and C?

Back

Using the Law of Syllogism, we can conclude that all A are C.

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What is the Law of Detachment?

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If a conditional statement is true and its hypothesis is true, then the conclusion is also true.

Front

Provide an example of deductive reasoning.

Back

All humans are mortal. Socrates is a human. Therefore, Socrates is mortal.

Front

Provide an example of inductive reasoning.

Back

The sun has risen in the east every day in recorded history; therefore, the sun will rise in the east tomorrow.

Front

What is a conjecture?

Back

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

Front

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 drawing specific conclusions from general principles.

Front

What is a valid conclusion?

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A conclusion that logically follows from the premises or statements provided.