Q. 1TB
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.
Step-by-Step Solution
Verified Answer
If a quadrilateral is not a rectangle, then it is not a square.
1Step 1. Given Information.
Given a statement: If a quadrilateral is a square, then it is a rectangle.
2Step 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 " .
3Step 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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