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 contrapositive of a conditional statement?

Back

The contrapositive of a conditional statement "If P, then Q" is "If not Q, then not P." It is logically equivalent to the original statement.

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 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 conclusion of a conditional statement?

Back

The conclusion is the part that follows the 'then' in a conditional statement. For example, in "If P, then Q," Q is the conclusion.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Front

How do you form 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.'

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Front

How do you form the inverse of the statement: 'If you study, then you will pass'?

Back

The inverse is: 'If you do not study, then you will not pass.'

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Front

How do you form the converse of the statement: 'If a shape is a square, then it is a rectangle'?

Back

The converse is: 'If a shape is a rectangle, then it is a square.'

Tags

CCSS.HSG.CO.C.11

Front

What is an example of a conditional statement in geometry?

Back

An example is: 'If a figure is a triangle, then it has three sides.'

Front

What is the relationship between a statement and its contrapositive?

Back

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