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 word 'if'. It represents the condition that must be met.

Front

What is the conclusion in a conditional statement?

Back

The conclusion is the part of the conditional statement that follows the word 'then'. It represents the result or outcome of the hypothesis being true.

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

Front

What is the contrapositive of a conditional statement?

Back

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

Front

What is the inverse of a conditional statement?

Back

The inverse of a conditional statement is formed by negating both the hypothesis and conclusion without reversing them. For example, the inverse of "If P, then Q" is "If not P, then not Q."

Front

What is a biconditional statement?

Back

A biconditional statement is a statement that combines a conditional statement and its converse, typically written as "P if and only if Q". It means both P and Q are true or both are false.

Front

How do you identify the hypothesis and conclusion in the statement: 'If it rains, then the ground is wet.'?

Back

Hypothesis: It rains; Conclusion: The ground is wet.

Front

What is an example of a valid conditional statement?

Back

If a shape is a square, then it has four equal sides.

Front

What is an example of a converse statement?

Back

If a shape has four equal sides, then it is a square.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A