Which statement describes a square?

Which statement describes a square?

• A. A parallelogram with four right angles.
• B. A parallelogram with four congruent sides and four right angles.
• C. A trapezoid with all sides equal.
• D. A quadrilateral with opposite sides parallel.

Answer: (B)

A square has two pairs of parallel sides (like all parallelograms) and, at the same time, all four sides are the same length and every angle is a right angle. That combination is exactly what the statement describes: a parallelogram with four congruent sides and four right angles. With those features, you can’t have a shape that’s just a rectangle (which has right angles but not necessarily all sides equal) or a general parallelogram (which might have unequal sides or angles other than 90°). It also isn’t defined simply as a trapezoid or any parallelogram, since those options don’t require both equal sides and right angles together.

A square has two pairs of parallel sides (like all parallelograms) and, at the same time, all four sides are the same length and every angle is a right angle. That combination is exactly what the statement describes: a parallelogram with four congruent sides and four right angles. With those features, you can’t have a shape that’s just a rectangle (which has right angles but not necessarily all sides equal) or a general parallelogram (which might have unequal sides or angles other than 90°). It also isn’t defined simply as a trapezoid or any parallelogram, since those options don’t require both equal sides and right angles together.