A rhombus is a type of polygon that has specific geometric properties. Let's evaluate each given statement to determine which must be true for a rhombus:
1. It has two pairs of parallel opposite sides.
- This statement is true. By definition, a rhombus is a quadrilateral in which both pairs of opposite sides are parallel. This is a key characteristic of all parallelograms, and since a rhombus is a special type of parallelogram, this property must hold.
2. It has four sides of equal length.
- This statement is also true. One of the defining properties of a rhombus is that all four of its sides are of equal length. This is what differentiates a rhombus from other parallelograms, which may have unequal pairs of sides.
3. It has four right angles.
- This statement is not always true. A rhombus can have right angles, but it only does so when it is also a square. A general rhombus does not necessarily have right angles; its angles can vary as long as the properties of equal side lengths and parallel opposite sides are maintained.
Therefore, the statements that must be true about a rhombus are:
- It has two pairs of parallel opposite sides.
- It has four sides of equal length.
Thus, the correct answers are:
A. It has two pairs of parallel opposite sides.
B. It has four sides of equal length.
