Which shape has opposite sides that are parallel and equal in length?

Which shape has opposite sides that are parallel and equal in length?

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

Answer: (C)

The shape that has opposite sides that are parallel and equal in length is indeed a parallelogram. In a parallelogram, the definition establishes that not only are opposite sides parallel, but they are also equal in length. This quality makes parallelograms a specific type of quadrilateral, which includes rectangles, rhombuses, and squares as well. Trapezoids, in contrast, have only one pair of parallel sides, meaning their opposing sides do not necessarily have to be equal in length. A rhombus also has its opposite sides parallel and equal in length, but it is a specific subtype of a parallelogram. While all rhombuses qualify as parallelograms, the question asks for the broader category that applies to all instances of having opposite sides that are parallel and equal in length. Quadrilateral is an even more general term that includes all four-sided shapes, but it does not guarantee any properties such as parallel sides or equal lengths. Therefore, within the context of the question, the most accurate shape to represent opposite sides that are both parallel and equal in length is a parallelogram.

The shape that has opposite sides that are parallel and equal in length is indeed a parallelogram. In a parallelogram, the definition establishes that not only are opposite sides parallel, but they are also equal in length. This quality makes parallelograms a specific type of quadrilateral, which includes rectangles, rhombuses, and squares as well.

Trapezoids, in contrast, have only one pair of parallel sides, meaning their opposing sides do not necessarily have to be equal in length. A rhombus also has its opposite sides parallel and equal in length, but it is a specific subtype of a parallelogram. While all rhombuses qualify as parallelograms, the question asks for the broader category that applies to all instances of having opposite sides that are parallel and equal in length.

Quadrilateral is an even more general term that includes all four-sided shapes, but it does not guarantee any properties such as parallel sides or equal lengths. Therefore, within the context of the question, the most accurate shape to represent opposite sides that are both parallel and equal in length is a parallelogram.