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What is a parallelogram with all sides equal in length called?

  1. Square

  2. Rectangle

  3. Rhombus

  4. Trapezoid

The correct answer is: Rhombus

A parallelogram with all sides equal in length is known as a rhombus. This shape has the defining characteristics of a parallelogram, which includes opposite sides that are parallel and equal in length, as well as opposite angles that are equal. The added condition of all sides being equal distinguishes a rhombus from other types of quadrilaterals. In addition to having equal sides, a rhombus also has diagonals that bisect each other at right angles. While a square does also have equal sides and is a type of rhombus, it also has the additional characteristic of having four right angles, which is not a requirement for a rhombus. A rectangle, on the other hand, has opposite sides that are equal and has four right angles but does not necessarily have all sides equal. Lastly, a trapezoid may have one pair of parallel sides but does not fit the criteria for equal side lengths required for a rhombus. Thus, the correct identification for a parallelogram with all sides equal in length is indeed a rhombus.