Logic Statements Practice

Front

What is a conditional statement?

Back

A statement that can be written in the form 'If P, then Q', where P is the hypothesis and Q is the conclusion.

Front

What is a counterexample?

Back

An example that disproves a statement or claim.

Front

What is the inverse of a conditional statement?

Back

The statement formed by negating both the hypothesis and conclusion of the original conditional statement.

Front

What is the contrapositive of a conditional statement?

Back

The statement formed by negating and switching the hypothesis and conclusion of the original conditional statement.

Front

What is a biconditional statement?

Back

A statement that combines a conditional and its converse, written as 'P if and only if Q'.

Front

What does it mean for two angles to be supplementary?

Back

Two angles are supplementary if their measures add up to 180 degrees.

Front

What does it mean for two angles to be congruent?

Back

Two angles are congruent if they have the same measure.

Front

Provide an example of a counterexample to the statement: 'If it is raining, then the ground is wet.'

Back

A counterexample could be a situation where it is raining, but the ground is covered and remains dry.

Front

What is the converse of a conditional statement?

Back

The statement formed by switching the hypothesis and conclusion of the original conditional statement.

Front

What is the relationship between a conditional statement and its contrapositive?

Back

A conditional statement and its contrapositive are logically equivalent; if one is true, the other is also true.