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Chapter 7: Q. 1TB (page 624)

The contrapositive: What is the contrapositive of the implication 鈥淚f A, then B.鈥�?

Find the contrapositives of the following implications:

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

Short Answer

Expert verified

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

Step by step solution

01

Step 1. Given Information.

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

02

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 " .
03

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.

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