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

What is the hypothesis in a conditional statement?

Back

The hypothesis is the part of the conditional statement that follows 'if.' It represents the condition that must be true for the conclusion to follow.

Front

What is the conclusion in a conditional statement?

Back

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

Front

Write a conditional statement for: 'It is raining, and the ground is wet.'

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 dog, then it is an animal.'

Back

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

Front

What is a biconditional statement?

Back

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

Front

Write a biconditional statement for: 'A figure is a square if and only if it has four equal sides.'

Back

A figure has four equal sides if and only if it is a square.

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

Write a conditional statement for: 'A student studies hard, and they pass the exam.'

Back

If a student studies hard, then they pass the exam.