The diagonals of a rhombus

Options

A. are always equal
B. never bisect each other
C. always bisect each other at an acute angle
D. always bisect each other at right angles

Answer

To solve the question regarding the properties of the diagonals of a rhombus, let's analyze the characteristics of a rhombus and its diagonals step by step.

### Step-by-Step Solution:

1. **Understanding a Rhombus**:
- A rhombus is a type of quadrilateral where all four sides are of equal length.

2. **Identifying the Diagonals**:
- In a rhombus, there are two diagonals. Let's denote them as AC and BD.

3. **Properties of Diagonals in a Rhombus**:
- The diagonals of a rhombus have specific properties:
- They bisect each other, meaning they cut each other into two equal parts.
- They intersect at right angles (90 degrees).

4. **Conclusion**:
- Based on the properties discussed, we can conclude that the correct option regarding the diagonals of a rhombus is: **They always bisect each other at a right angle.**

### Final Answer:
- The diagonals of a rhombus always bisect each other at a right angle.

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