A rhombus is symmetrical about

Options

A. the line joining the midpoints of its opposite sides
B. each of its diagonals
C. perpendicular bisector of each of its sides
D. none of these

Answer

To determine the lines of symmetry for a rhombus, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Definition of a Rhombus**:
A rhombus is a type of quadrilateral where all four sides are of equal length. The opposite angles are equal, and the diagonals bisect each other at right angles.

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

2. **Draw a Rhombus**:
Start by sketching a rhombus. Label the vertices as A, B, C, and D in a clockwise direction.

**Hint**: Make sure your drawing is accurate to visualize the symmetry clearly.

3. **Identify the Diagonals**:
Draw the diagonals AC and BD. These diagonals intersect at point O, the midpoint of both diagonals.

**Hint**: Diagonals in a rhombus are important because they help in identifying symmetry.

4. **Check for Lines of Symmetry**:
A line of symmetry divides a shape into two identical halves. For a rhombus, you can fold it along the diagonals, and both halves will match perfectly.

**Hint**: Think about how folding along a line can create two equal parts.

5. **Count the Lines of Symmetry**:
From the drawing, you will see that there are two lines of symmetry:
- One along diagonal AC
- One along diagonal BD

**Hint**: Each diagonal acts as a line of symmetry.

6. **Conclusion**:
Since a rhombus has two lines of symmetry, the correct answer to the question is that a rhombus is symmetrical about "each of its diagonals".

**Hint**: Review the options provided to confirm which one matches your conclusion.

### Final Answer:
A rhombus is symmetrical about each of its diagonals (Option 2).