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 is wet.'

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Front

Identify the hypothesis in the statement: 'If it is snowing, then it is cold.'

Back

The hypothesis is 'It is snowing.'

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Front

Identify the conclusion in the statement: 'If it is snowing, then it is cold.'

Back

The conclusion is 'It is cold.'

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Front

What is the converse of the statement: 'If it rains, then the ground is wet.'?

Back

The converse is 'If the ground is wet, then it rains.'

Front

What is the inverse of the statement: 'If it rains, then the ground is wet.'?

Back

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

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Front

What is the contrapositive of the statement: 'If it rains, then the ground is wet.'?

Back

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

Front

True or False: The contrapositive of a conditional statement is logically equivalent to the original statement.

Back

True

Front

True or False: The converse of a conditional statement is logically equivalent to the original statement.

Back

False

Front

What is the definition of a biconditional statement?

Back

A biconditional statement is a statement that combines a conditional statement and its converse, expressed as 'p if and only if q.'

Front

Provide an example of a biconditional statement.

Back

An example of a biconditional statement is: 'A figure is a square if and only if it has four equal sides.'