Question & Answer

Is Keegan’s statement that a quadrilateral is a square if and only if it is a rectangle a true biconditional statement?

Keegan says that a quadrilateral is a square if and only if it is a rectangle. Is this a true biconditional statement?

Yes, because all squares are rectangles.
Yes, because all rectangles are squares.
No, because all squares are not rectangles.
No, because all rectangles are not squares.

1 Answer

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Quizzma TeamMarch 21, 2025

The correct answer is: No, because all rectangles are not squares.

Explanation: While it’s true that all squares are rectangles (since they have four right angles), not all rectangles are squares. A rectangle can have sides of different lengths, whereas a square has all sides equal. Therefore, the statement is not true as a biconditional because it does not hold in both directions.