Question

Given the true statement: If a quadrilateral is a square, then it is a rectangle. It follows that, of the converse and the inverse of this true statement.

• A. Only the converse is true
• B. Only the inverse is true
• C. Both are true
• D. Neither is true
• E. The inverse is true, but the converse is sometimes true

Answer 1

The correct option is D Neither is true

The converse is: If a quadrilateral is a rectangle, then it is a square. The inverse is: If a quadrilateral is not a square, then it is not a rectangle. Both statements are false; or use Venn diagrams to picture the sets mentioned.