Final Answer:
A quadrilateral with 2 pairs of parallel sides and 2 pairs of sides with equal lengths is C) Rhombus.
Step-by-step explanation:
Geometric shapes are defined by specific characteristics, and in this case, a quadrilateral with 2 pairs of parallel sides and 2 pairs of sides with equal lengths is identified as a rhombus. A rhombus is a four-sided polygon where opposite sides are parallel, and all sides have equal length.
In more detail, a rhombus is a special type of parallelogram with additional symmetry. The equal length of its sides ensures that opposite angles are also equal, making it distinct from other quadrilaterals. This unique combination of parallel sides and equal lengths contributes to the specific properties of a rhombus, setting it apart from rectangles, squares, and trapezoids.
The concept of a rhombus is fundamental in geometry, providing a clear understanding of the relationships between sides and angles within this particular quadrilateral. Its symmetrical nature and equal side lengths make it a versatile shape, commonly encountered in various mathematical and practical applications.
In conclusion, the correct answer is C) Rhombus, as it precisely matches the described characteristics of a quadrilateral with 2 pairs of parallel sides and 2 pairs of sides with equal lengths.