A rhombus is symmetrical about

Options

A. each of its two diagonals
B. each of its two lines joining the mid-points of opposite sides
C. each of the perpendicular bisector of its sides
D. none of these

Answer

To solve the question "A rhombus is symmetrical about", we will analyze the properties of a rhombus and determine its lines of symmetry step by step.

### Step-by-Step Solution:

1. **Understanding the Shape of a Rhombus**:
- A rhombus is a type of quadrilateral where all four sides are of equal length.
- It has opposite angles that are equal, and adjacent angles are supplementary (they add up to 180 degrees).

**Hint**: Remember that in a rhombus, all sides are equal, which is a key property.

2. **Drawing the Rhombus**:
- Let's draw a rhombus and label its vertices as A, B, C, and D in a clockwise manner.

**Hint**: Label the vertices clearly to help visualize the diagonals.

3. **Identifying the Diagonals**:
- The diagonals of a rhombus are the lines that connect opposite vertices. In our rhombus, the diagonals are AC and BD.

**Hint**: Diagonals are important as they help us find the lines of symmetry.

4. **Properties of the Diagonals**:
- The diagonals of a rhombus bisect each other at right angles (90 degrees).
- Each diagonal divides the rhombus into two congruent triangles, meaning they are mirror images of each other.

**Hint**: Remember that bisecting means dividing into two equal parts.

5. **Finding Lines of Symmetry**:
- Since each diagonal divides the rhombus into two symmetric parts, this means that the rhombus has two lines of symmetry: one along diagonal AC and another along diagonal BD.

**Hint**: Lines of symmetry are lines where one side is a mirror image of the other.

6. **Conclusion**:
- Therefore, a rhombus is symmetrical about each of its two diagonals.

**Hint**: The answer to the question is that the rhombus has two lines of symmetry, which are its diagonals.

### Final Answer:
A rhombus is symmetrical about each of its two diagonals.