## What is a contrapositive example?

Definition: Contrapositive is exchanging the hypothesis and conclusion of a conditional statement and negating both hypothesis and conclusion. For example the contrapositive of “if A then B” is “if not-B then not-A”.

## What is a contrapositive example?

Definition: Contrapositive is exchanging the hypothesis and conclusion of a conditional statement and negating both hypothesis and conclusion. For example the contrapositive of “if A then B” is “if not-B then not-A”.

What is contrapositive and inverse?

The contrapositive of the conditional statement is “If not Q then not P.” The inverse of the conditional statement is “If not P then not Q.”

### What is the definition of contrapositive in geometry?

: a proposition or theorem formed by contradicting both the subject and predicate or both the hypothesis and conclusion of a given proposition or theorem and interchanging them “if not-B then not-A ” is the contrapositive of “if A then B “

What is a contrapositive in math?

Definition of contrapositive : a proposition or theorem formed by contradicting both the subject and predicate or both the hypothesis and conclusion of a given proposition or theorem and interchanging them “if not-B then not-A ” is the contrapositive of “if A then B “

## What is converse proposition?

converse, in logic, the proposition resulting from an interchange of subject and predicate with each other. Thus, the converse of “No man is a pencil” is “No pencil is a man.” In traditional syllogistics, generally only E (universal negative) and I (particular affirmative) propositions yield a valid converse.

What is a contrapositive in geometry?

A contrapositive statement occurs when you switch the hypothesis and the conclusion in a statement, and negate both statements. In this example, when we switch the hypothesis and the conclusion, and negate both, the result is: If it is not a polygon, then it is not a triangle.

### What’s contrapositive mean in math?

What is a contrapositive?

con·​tra·​pos·​i·​tive | \\ ˌkän-trə-ˈpä-zə-tiv , -ˈpäz-tiv\\. : a proposition or theorem formed by contradicting both the subject and predicate or both the hypothesis and conclusion of a given proposition or theorem and interchanging them “if not-B then not-A ” is the contrapositive of “if A then B “.

## What is the contrapositive of a conditional statement?

The contrapositive of the conditional statement is “If not Q then not P .” The inverse of the conditional statement is “If not P then not Q .” We will see how these statements work with an example. Suppose we start with the conditional statement “If it rained last night, then the sidewalk is wet.”

What is contraposition in logic?

In logic, contraposition is an inference that says that a conditional statement is logically equivalent to its contrapositive.

### Is the contrapositive logically equivalent to its converse?

We say that these two statements are logically equivalent. We also see that a conditional statement is not logically equivalent to its converse and inverse. Since a conditional statement and its contrapositive are logically equivalent, we can use this to our advantage when we are proving mathematical theorems.