A square is which of the following true statements?

A square is which of the following true statements?

• A. A rectangle and a rhombus (and more)
• B. Only a rectangle
• C. Only a kite
• D. Only a parallelogram

Answer: (B)

A square has both four right angles and four equal sides, which makes it belong to several families of quadrilaterals at once. Because all angles are right, it satisfies the defining property of a rectangle. Because all sides are equal, it satisfies the defining property of a rhombus. Those two facts together also imply that opposite sides are parallel, so it is a parallelogram as well. Depending on how you view a kite, a square can fit that category too, since it has two pairs of adjacent equal sides (and all four sides are equal). So describing a square as only a rectangle misses all the other valid ways it fits into quadrilateral families.

A square has both four right angles and four equal sides, which makes it belong to several families of quadrilaterals at once. Because all angles are right, it satisfies the defining property of a rectangle. Because all sides are equal, it satisfies the defining property of a rhombus. Those two facts together also imply that opposite sides are parallel, so it is a parallelogram as well. Depending on how you view a kite, a square can fit that category too, since it has two pairs of adjacent equal sides (and all four sides are equal). So describing a square as only a rectangle misses all the other valid ways it fits into quadrilateral families.