Ohio Assessments for Educators (OAE) Mathematics Practice Exam

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Which of the following describes a rhombus?

A quadrilateral with 90-degree angles
A quadrilateral with one pair of parallel sides
A parallelogram with 4 equal sides
A polygon with 6 sides

The correct answer is: A parallelogram with 4 equal sides

A rhombus is defined as a parallelogram that has all four sides of equal length. This specific characteristic of having equal sides distinguishes a rhombus from other types of parallelograms, which may have sides that are of different lengths. Additionally, while it is true that a rhombus also has opposite angles that are equal and its diagonals bisect each other at right angles, the defining feature that directly describes a rhombus in the context of the options provided is the equality of its sides. This characteristic is essential in understanding the properties of a rhombus and how it relates to other geometric shapes, especially parallelograms. For instance, while all rhombuses are parallelograms (which have pairs of opposite sides that are parallel), not all parallelograms are rhombuses unless they also exhibit the property of having equal sides. This understanding solidifies the reasoning behind choosing that option.