Conditional Statements

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.'

Front

Write a conditional statement for: 'It is raining.'

Back

If it is raining, then the ground is wet.

Front

What is the converse of a conditional statement?

Back

The converse of a conditional statement 'If P, then Q' is 'If Q, then P.'

Front

Write the converse of: 'If it is a cat, then it is an animal.'

Back

If it is an animal, then it is a cat.

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.'

Front

Write the inverse of: 'If it is a dog, then it is a mammal.'

Back

If it is not a dog, then it is not a mammal.

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.'

Front

Write the contrapositive of: 'If it is a bird, then it can fly.'

Back

If it cannot fly, then it is not a bird.

Front

What does it mean for a conditional statement to be true?

Back

A conditional statement is true unless the hypothesis is true and the conclusion is false.

Front

Determine if the statement 'If it is a square, then it has four sides' is true or false.

Back

True.