Question

The contrapositive: What is the contrapositive of the implication “If A, then B.”?

Find the contrapositives of the following implications:

If a quadrilateral is a square, then it is a rectangle.

Short answer

If a quadrilateral is not a rectangle, then it is not a square.

Step-by-step solution

Step 1. Given Information.

Given a statement:If a quadrilateral is a square, then it is a rectangle.

Step 2. The contrapositive statement.

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 " .

Step 3. The statement.

From step 2 it is clear that the contrapositive statement will be:

If a quadrilateral is not a rectangle, then it is not a square.