Option 4,option 6, and option 2 is the respective contrapositive to the statements given. This can be obtained by understanding what contrapositive is and converting the statements.
What is contrapositive?
- Contrapositive: A statement which is obtained by interchanging both the hypothesis and conclusion of a given statement after contradicting them. For "if p then q" the contrapositive is "if not-q,then not-p "
Statement = If a figure is a square, then it is a quadrilateral.
Contrapositive = If a figure is not a quadrilateral, then it is not a square.
Here,
- Statement 1: If two figures are congruent, then their corresponding sides are equal.
Contrapositive: If the corresponding sides of two figures aren't equal, then the two figures aren't congruent. (Option 4)
- Statement 2: If two numbers are even, then their product is even.
Contrapositive: If the product of two numbers isn't even, then the two numbers aren't even. (Option 6)
- Statement 3: If a figure is a pentagon, then the sum of its interior angles is 540°.
Contrapositive: If the sum of the interior angles of a figure isn't 540°, then the figure isn't a pentagon. (Option 2)
Hence Option 4,option 6, and option 2 is the respective contrapositive to the statements given.
Learn more about contrapositive:
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