What is deductive reasoning?
Geometry - 2.1 and 2.2 Review

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Mathematics
•
10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
Reasoning based on facts, definitions, accepted properties, and the laws of logic.
2.
FLASHCARD QUESTION
Front
What is inductive reasoning?
Back
Reasoning based on specific examples and patterns used to form conjectures.
3.
FLASHCARD QUESTION
Front
What is a counterexample?
Back
An example used to prove that a conjecture is false.
4.
FLASHCARD QUESTION
Front
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.
5.
FLASHCARD QUESTION
Front
What is the Law of Detachment?
Back
If a conditional statement is true and its hypothesis is true, then the conclusion is also true.
6.
FLASHCARD QUESTION
Front
Provide an example of deductive reasoning.
Back
All humans are mortal. Socrates is a human. Therefore, Socrates is mortal.
7.
FLASHCARD QUESTION
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.
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