Converse, Inverse, & Contrapositive- Part 2

Front

What is a Conditional Statement?

Back

A statement that expresses a relationship between two events, typically in the form 'If P, then Q.'

Front

What is the Converse of a Conditional Statement?

Back

The statement formed by reversing the hypothesis and conclusion of the conditional statement, expressed as 'If Q, then P.'

Front

What is the Inverse of a Conditional Statement?

Back

The statement formed by negating both the hypothesis and conclusion of the conditional statement, expressed as 'If not P, then not Q.'

Front

What is the Contrapositive of a Conditional Statement?

Back

The statement formed by negating and reversing the hypothesis and conclusion of the conditional statement, expressed as 'If not Q, then not P.'

Front

If the original statement is 'If it rains, then the ground is wet,' what is the contrapositive?

Back

If the ground is not wet, then it does not rain.

Front

If the original statement is 'If I study, then I will pass the test,' what is the inverse?

Back

If I do not study, then I will not pass the test.

Front

If the original statement is 'If a shape is a square, then it has four equal sides,' what is the converse?

Back

If a shape has four equal sides, then it is a square.

Front

What is the relationship between a statement and its contrapositive?

Back

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

Front

What is the relationship between a statement and its inverse?

Back

A statement and its inverse are not logically equivalent; one can be true while the other is false.

Front

If the original statement is 'If a number is even, then it is divisible by 2,' what is the contrapositive?

Back

If a number is not divisible by 2, then it is not even.