Converse, Inverse, Contrapositive

Front

What is the definition of a conditional statement?

Back

A conditional statement is an if-then statement that expresses a relationship between two propositions, where the first proposition (the hypothesis) implies the second proposition (the conclusion).

Front

What is the hypothesis in a conditional statement?

Back

The hypothesis is the part of the conditional statement that follows 'if'. It represents the condition that must be true for the conclusion to follow.

Front

What is the conclusion in a conditional statement?

Back

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

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 A, then B' is 'If B, then A'.

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. For example, the inverse of 'If A, then B' is 'If not A, then not B'.

Front

What is the contrapositive of a conditional statement?

Back

The contrapositive of a conditional statement is formed by switching and negating both the hypothesis and conclusion. For example, the contrapositive of 'If A, then B' is 'If not B, then not A'.

Front

How do you form the inverse of 'If it rains, then the ground is wet'?

Back

The inverse is 'If it does not rain, then the ground is not wet'.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Front

How do you form the contrapositive of 'If it is sunny, then I will go outside'?

Back

The contrapositive is 'If I do not go outside, then it is not sunny'.

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 it is a dog, then it is an animal'.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Front

What is an example of a converse statement?

Back

The converse of 'If it is a dog, then it is an animal' is 'If it is an animal, then it is a dog'.

Tags

CCSS.L.6.6

CCSS.L.8.6

CCSS.W.6.2D

CCSS.W.7.2D

CCSS.W.8.2D