A rhombus is always an example of a:I. rectangleII. parallelogramIII. square A. I, II, and III B. I C. II D. I and IIIReset

To determine which of the following options accurately describes the characteristics of a rhombus, we first need to analyze the properties of a rhombus, rectangle, parallelogram, and square:

1. Rhombus: A rhombus is a quadrilateral with all sides equal in length. Opposite angles are equal, and the diagonals bisect each other at right angles.

2. Rectangle: A rectangle has opposite sides equal and all angles equal to 90 degrees. It does not necessarily require all sides to be of equal length.

3. Parallelogram: A parallelogram has opposite sides that are parallel and equal, with the opposite angles also being equal. A rhombus is a specific type of parallelogram because all sides are equal.

4. Square: A square has all sides equal and all angles equal to 90 degrees, making it also a specific type of rhombus.

Analyzing the Options

• I. Rectangle: A rhombus is not always a rectangle, as rectangles have angles that are all right angles, which a rhombus need not have.
• II. Parallelogram: A rhombus is always a parallelogram since it fulfills all conditions of a parallelogram (equal opposite sides and angles).
• III. Square: A rhombus is not always a square because a square requires all angles to be 90 degrees, which a rhombus does not.

Final Answer

Based on this analysis, the rhombus is always an example of: II. parallelogram. Therefore, the correct answer is C. II.