Logic-Geometry

Logic-Geometry

Assessment

Flashcard

Mathematics

9th Grade

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a counterexample?

Back

A counterexample is an example that disproves a statement or proposition. For instance, the statement 'All fractions are between 0 and 1' can be disproven by the counterexample 3/2.

2.

FLASHCARD QUESTION

Front

What is deductive reasoning?

Back

Deductive reasoning is a logical process where a conclusion is reached based on the concordance of multiple premises that are generally assumed to be true. For example, 'All bears are mammals; all mammals have kidneys; therefore, all bears have kidneys.'

3.

FLASHCARD QUESTION

Front

What is the inverse of a conditional statement?

Back

The inverse of a conditional statement 'If p, then q' is 'If not p, then not q.' For example, the inverse of 'If it does not rain today, then we will have practice' is 'If it rains today, then we will not have practice.'

4.

FLASHCARD QUESTION

Front

What is a contrapositive?

Back

The contrapositive of a conditional statement 'If p, then q' is 'If not q, then not p.' For example, the contrapositive of 'If I have a Siberian Husky, then I have a dog' is 'If I do not have a dog, then I do not have a Siberian Husky.'

5.

FLASHCARD QUESTION

Front

What is the Law of Syllogism?

Back

The Law of Syllogism states that if 'p implies q' and 'q implies r', then 'p implies r'. For example, if 'If it rains, then the ground is wet' and 'If the ground is wet, then the grass is wet', then 'If it rains, then the grass is wet.'

6.

FLASHCARD QUESTION

Front

What is an example of an inductive reasoning?

Back

Inductive reasoning involves making generalizations based on specific observations. For example, observing that the sun rises in the east every day and concluding that the sun always rises in the east.

7.

FLASHCARD QUESTION

Front

What is a conditional statement?

Back

A conditional statement is an if-then statement that expresses a relationship between two propositions. For example, 'If it rains, then the ground will be wet.'

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