Conditional Statements

Front

What is a conditional statement?

Back

A conditional statement is an if-then statement that expresses a relationship between two propositions, typically written in the form 'If p, then q' (p → q).

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Front

What are the components of a conditional statement?

Back

The components of a conditional statement are the hypothesis (p) and the conclusion (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' (q → p).

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' (¬q → ¬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' (¬p → ¬q).

Front

What is the negation of a statement?

Back

The negation of a statement is the opposite of the statement, often expressed as 'not' followed by the original statement.

Tags

CCSS.L.1.1J

CCSS.L.2.1F

CCSS.L.4.1C

Front

How do you identify the hypothesis in a conditional statement?

Back

The hypothesis is the part of the conditional statement that follows 'if'. For example, in 'If it rains, then the ground is wet', 'it rains' is the hypothesis.

Front

How do you identify the conclusion in a conditional statement?

Back

The conclusion is the part of the conditional statement that follows 'then'. For example, in 'If it rains, then the ground is wet', 'the ground is wet' is the conclusion.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Front

What is an example of a conditional statement?

Back

An example of a conditional statement is: 'If a shape is a square, then it has four equal sides.'

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Front

What is the relationship between a statement and its contrapositive?

Back

A statement and its contrapositive are logically equivalent, meaning they have the same truth value.