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). For example, "If it rains, then the ground will be wet."

Front

What is the hypothesis in a conditional statement?

Back

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

Front

What is the conclusion in a conditional statement?

Back

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

Front

What is the converse of a conditional statement?

Back

The converse of a conditional statement is formed by switching the hypothesis and conclusion. For example, the converse of "If A, then B" is "If B, then A."

Front

What is the inverse of a conditional statement?

Back

The inverse of a conditional statement is formed by negating both the hypothesis and conclusion. For example, the inverse of "If A, then B" is "If not A, then not B."

Front

What is the contrapositive of a conditional statement?

Back

The contrapositive of a conditional statement is formed by switching and negating both the hypothesis and conclusion. For example, the contrapositive of "If A, then B" is "If not B, then not A."

Front

What does it mean to negate a statement?

Back

To negate a statement means to state the opposite of that statement. For example, the negation of "It is raining" is "It is not raining."

Front

How do you identify the hypothesis in the statement: 'If it is a dog, then it is an animal'?

Back

The hypothesis is 'it is a dog'.

Front

How do you identify the conclusion in the statement: 'If it is a dog, then it is an animal'?

Back

The conclusion is 'it is an animal'.

Front

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

Back

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