Which Description Does Not Guarantee That a Quadrilateral is a Square?

To determine whether a quadrilateral is a square, certain characteristics must be met. A common misconception is that having equal angles or equal side lengths alone guarantees a square, but this is not the case.

For example, a quadrilateral can have four equal sides and still not be a square if the angles are not right angles (90 degrees). Similarly, a quadrilateral can have four right angles but not have all sides equal, which means it is a rectangle but not a square.

In summary, having equal angles or equal side lengths alone does not guarantee that a quadrilateral is a square. The specific requirement for a quadrilateral to be classified as a square is that it must have both equal sides and four right angles. Therefore, a description stating ‘a quadrilateral with four equal sides’ or ‘a quadrilateral with four right angles’ does not guarantee that it is a square.

More Related Questions