Which shape has opposite sides equal and all angles equal, but is not a square?

Which shape has opposite sides equal and all angles equal, but is not a square?

• A. Rectangle
• B. Rhombus
• C. Trapezoid
• D. Parallelogram

Answer: (A)

The correct answer is a rectangle. A rectangle is defined as a quadrilateral with opposite sides that are equal in length and all angles measuring 90 degrees. While a square is a specific type of rectangle that also has all sides equal, not all rectangles are squares. Therefore, a rectangle fits the description of having equal opposite sides and equal angles, but is distinct from a square because its sides are not necessarily all of equal length. In contrast, a rhombus has all sides equal but does not require that all angles be right angles; its angles can vary, making it distinct from the rectangle. A trapezoid, on the other hand, does not necessarily have equal opposite sides or equal angles, which disqualifies it from being the correct answer. Lastly, while a parallelogram does have equal opposite sides and equal angles, it does not restrict the angles to being 90 degrees, meaning it also does not meet the specific criteria stated in the question as a rectangle does. Thus, the rectangle is the best fit for the description provided.

The correct answer is a rectangle. A rectangle is defined as a quadrilateral with opposite sides that are equal in length and all angles measuring 90 degrees. While a square is a specific type of rectangle that also has all sides equal, not all rectangles are squares. Therefore, a rectangle fits the description of having equal opposite sides and equal angles, but is distinct from a square because its sides are not necessarily all of equal length.

In contrast, a rhombus has all sides equal but does not require that all angles be right angles; its angles can vary, making it distinct from the rectangle. A trapezoid, on the other hand, does not necessarily have equal opposite sides or equal angles, which disqualifies it from being the correct answer. Lastly, while a parallelogram does have equal opposite sides and equal angles, it does not restrict the angles to being 90 degrees, meaning it also does not meet the specific criteria stated in the question as a rectangle does. Thus, the rectangle is the best fit for the description provided.