Which statement correctly describes a rectangle?

Which statement correctly describes a rectangle?

• A. All four angles are 120 degrees
• B. Each of the four angles measures 90 degrees and opposite sides are equal
• C. All four sides are equal
• D. Diagonals are perpendicular

Answer: (B)

A rectangle is a parallelogram with right angles. The statement that all four angles measure 90 degrees and opposite sides are equal captures both the angle condition and the side condition that define a rectangle. With right angles, every corner is a right angle, and having opposite sides equal reflects the parallelogram nature, together describing a rectangle precisely. The other descriptions misfit because: 120-degree angles mean the figure isn’t a rectangle; all sides equal describes a rhombus (a square is the special case that has both equal sides and right angles, but a general rectangle does not require equal sides); diagonals perpendicular is not a general rectangle property (diagonals are equal and bisect each other in a rectangle, but are not perpendicular unless the figure is a square).

A rectangle is a parallelogram with right angles. The statement that all four angles measure 90 degrees and opposite sides are equal captures both the angle condition and the side condition that define a rectangle. With right angles, every corner is a right angle, and having opposite sides equal reflects the parallelogram nature, together describing a rectangle precisely.

The other descriptions misfit because: 120-degree angles mean the figure isn’t a rectangle; all sides equal describes a rhombus (a square is the special case that has both equal sides and right angles, but a general rectangle does not require equal sides); diagonals perpendicular is not a general rectangle property (diagonals are equal and bisect each other in a rectangle, but are not perpendicular unless the figure is a square).