The figure which has two lines of symmetry and rotational symmetry of order 2 is

Options

A. a rhombus
B. an equilateral triangle
C. a semicircle
D. an isosceles trapezium

Answer

To solve the question regarding which figure has two lines of symmetry and rotational symmetry of order 2, we will analyze the options provided based on the properties of symmetry.

### Step-by-Step Solution:

1. **Understanding Lines of Symmetry**:
- A line of symmetry is a line that divides a figure into two identical halves that are mirror images of each other.
- We need to find a figure that has exactly two lines of symmetry.

2. **Understanding Rotational Symmetry**:
- Rotational symmetry of order 2 means that when the figure is rotated 180 degrees, it looks the same as it did before the rotation.
- We need to check which figure has this property.

3. **Analyzing the Options**:
- **Rhombus**:
- A rhombus has two lines of symmetry (the diagonals) and has rotational symmetry of order 2 (it looks the same when rotated 180 degrees).
- **Equilateral Triangle**:
- An equilateral triangle has three lines of symmetry and rotational symmetry of order 3.
- **Semicircle**:
- A semicircle has one line of symmetry and rotational symmetry of order 1.
- **Isosceles Trapezium**:
- An isosceles trapezium has one line of symmetry and rotational symmetry of order 1.

4. **Conclusion**:
- The only figure that meets the criteria of having two lines of symmetry and rotational symmetry of order 2 is the **rhombus**.

### Final Answer:
The figure which has two lines of symmetry and rotational symmetry of order 2 is the **rhombus**.