Geometry - Logic and Reasoning Review

Flashcard
•
Mathematics
•
10th Grade
•
Hard
+8
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What type of statement is defined as true in both directions, such as 'an angle is a right angle if and only if its measure is 90°'?
Back
Biconditional
2.
FLASHCARD QUESTION
Front
What is a counterexample in logic?
Back
An example that disproves a statement or conjecture.
3.
FLASHCARD QUESTION
Front
Provide a counterexample for the statement: 'If a polygon is a quadrilateral, then it is a trapezoid.'
Back
A rectangle is a counterexample because it is a quadrilateral that is not a trapezoid.
4.
FLASHCARD QUESTION
Front
What is the term for reasoning that uses facts, definitions, accepted properties, and the laws of logic?
Back
Deductive reasoning.
5.
FLASHCARD QUESTION
Front
What is the Law of Syllogism in logic?
Back
If 'If A, then B' and 'If B, then C' are true, then 'If A, then C' is also true.
6.
FLASHCARD QUESTION
Front
What is the difference between inductive and deductive reasoning?
Back
Inductive reasoning involves making generalizations based on specific observations, while deductive reasoning involves applying general principles to reach specific conclusions.
Tags
CCSS.RI.8.1
CCSS.RI.8.8
CCSS.RL.11-12.1
CCSS.RL.8.1
CCSS.RL.9-10.1
7.
FLASHCARD QUESTION
Front
What is a conditional statement?
Back
A statement that can be written in the form 'If P, then Q'.
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