Conditional Statements & Counterexample Practice

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). For example, 'If it rains, then the ground will be wet.'

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 inverse of a conditional statement?

Back

The inverse of a conditional statement negates both the hypothesis and the conclusion. For example, the inverse of 'If it rains, then the ground will be wet' is 'If it does not rain, then the ground will not be wet.'

Front

What is the converse of a conditional statement?

Back

The converse of a conditional statement switches the hypothesis and conclusion. For example, the converse of 'If it rains, then the ground will be wet' is 'If the ground is wet, then it rains.'

Front

What is the contrapositive of a conditional statement?

Back

The contrapositive of a conditional statement switches and negates both the hypothesis and conclusion. For example, the contrapositive of 'If it rains, then the ground will be wet' 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

What is a counterexample?

Back

A counterexample is an example that disproves a statement or conjecture. For instance, if the statement is 'All birds can fly', a counterexample would be 'Penguins cannot fly.'

Front

How do you prove a conjecture is false?

Back

To prove a conjecture is false, you can provide a counterexample that shows the conjecture does not hold true in all cases.

Front

What does it mean to negate a statement?

Back

To negate a statement means to state the opposite of that statement. For example, the negation of 'It is raining' is 'It is not raining.'

Tags

CCSS.L.1.1J

CCSS.L.2.1F

CCSS.L.4.1C

Front

What is the difference between inductive reasoning and deductive reasoning?

Back

Inductive reasoning involves making generalizations based on specific observations, while deductive reasoning involves applying general principles to reach a specific conclusion.

Tags

CCSS.L.1.1J

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.K.1D