Definitions, Conditional Statements, and Laws of Logic

Definitions, Conditional Statements, and Laws of Logic

Assessment

Flashcard

Mathematics

9th - 12th Grade

Hard

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a conditional statement?

Back

A conditional statement is a logical statement that has two parts: a hypothesis (if part) and a conclusion (then part). It is often written in the form 'If P, then Q'.

2.

FLASHCARD QUESTION

Front

What is the Law of Detachment?

Back

The Law of Detachment states that if a conditional statement is true and its hypothesis is true, then the conclusion must also be true.

3.

FLASHCARD QUESTION

Front

What is the contrapositive of a conditional statement?

Back

The contrapositive of a conditional statement 'If P, then Q' is 'If not Q, then not P'. It is logically equivalent to the original statement.

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 Law of Syllogism?

Back

The Law of Syllogism states that if 'If P, then Q' is true and 'If Q, then R' is true, then 'If P, then R' is also true.

6.

FLASHCARD QUESTION

Front

What does it mean for angles to be congruent?

Back

Two angles are congruent if they have the same measure.

7.

FLASHCARD QUESTION

Front

What is a hypothesis in a conditional statement?

Back

The hypothesis is the 'if' part of a conditional statement, representing the condition that must be met.

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