
Reasoning and proof
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•
Mathematics
•
8th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the Symmetric Property of Equality?
Back
If a = b, then b = a. This property states that if one quantity equals another, then the second quantity equals the first.
2.
FLASHCARD QUESTION
Front
What is the Converse of a statement?
Back
The converse of a statement 'If p, then q' is 'If q, then p'. It switches the hypothesis and conclusion.
3.
FLASHCARD QUESTION
Front
What is the Contrapositive of a statement?
Back
The contrapositive of a statement 'If p, then q' is 'If not q, then not p'. It negates both the hypothesis and conclusion and switches them.
4.
FLASHCARD QUESTION
Front
What is a Counterexample?
Back
A counterexample is an example that disproves a conjecture or statement. It shows that the statement is not always true.
5.
FLASHCARD QUESTION
Front
What is the Reflexive Property of Equality?
Back
For any number a, a = a. This property states that any quantity is equal to itself.
6.
FLASHCARD QUESTION
Front
What is the Transitive Property of Equality?
Back
If a = b and b = c, then a = c. This property allows us to conclude that if two quantities are each equal to a third quantity, they are equal to each other.
7.
FLASHCARD QUESTION
Front
What is Inductive Reasoning?
Back
Inductive reasoning involves making generalizations based on specific observations or patterns.
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