Understanding Conditionals and Definitions

Front

What is a counterexample?

Back

A counterexample is an example that disproves a statement or proposition, showing that it is not universally true.

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What is the hypothesis in a conditional statement?

Back

The hypothesis is the part of a conditional statement that follows 'if'. It represents the condition that must be met.

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What is the conclusion in a conditional statement?

Back

The conclusion is the part of a conditional statement that follows 'then'. It represents the result or outcome if the hypothesis is true.

Front

What is the symbol for congruence in geometry?

Back

Front

When is a biconditional statement true?

Back

A biconditional statement is true when both the original conditional statement and its converse are true.

Front

What is a conditional statement?

Back

A conditional statement is an 'if-then' statement that expresses a relationship between two propositions.

Front

What is a converse in logic?

Back

The converse of a conditional statement is formed by reversing the hypothesis and conclusion.

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What is a contrapositive?

Back

The contrapositive of a conditional statement is formed by negating both the hypothesis and conclusion and reversing them.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if they intersect at a right angle (90 degrees).

Front

What is the difference between a conditional and a biconditional statement?

Back

A conditional statement has the form 'if P, then Q', while a biconditional statement has the form 'P if and only if Q', meaning both statements are true together.