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Which of the following statements must be true about a rhombus?

Choose all answers that apply:

A. It has two pairs of parallel opposite sides.
B. It has four sides of equal length.
C. It has four right angles.

Sagot :

GinnyAnsweridn
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.
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