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 hypothesis in a conditional statement?

Back

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

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 is formed by switching the hypothesis and conclusion. For example, the converse of "If P, then Q" is "If Q, then P."

Front

What is a biconditional statement?

Back

A biconditional statement is a statement that combines two conditional statements and is true if both statements are true. It is often written as "P if and only if Q."

Front

How do you write the contrapositive of a conditional statement?

Back

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

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Front

What does it mean for a conditional statement to be true?

Back

A conditional statement is true unless the hypothesis is true and the conclusion is false. In that case, the statement is false.

Front

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

Back

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

Front

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

Back

A conditional statement and its converse are not necessarily equivalent; they can have different truth values.

Front

Provide an example of a conditional statement.

Back

If it rains, then the ground will be wet.

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1