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.'

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

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

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

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

True or False: The converse of a true statement is always true.

Back

False. The converse of a true statement may not be true.

Front

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

Back

True. The contrapositive is always logically equivalent to the original statement.

Front

Write the converse of: 'If it rains, then the ground is wet.'

Back

If the ground is wet, then it rains.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Front

Write the inverse of: 'If you study, then you will pass the test.'

Back

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

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Front

Write the contrapositive of: 'If you are a cat, then you are a mammal.'

Back

If you are not a mammal, then you are not a cat.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

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.'