State which of the following statement are true and which are false :
(1) A parallelogram has two lines of symmetry.

Answer

**Step-by-Step Solution:**

1. **Understanding the Statement**: The statement we need to evaluate is "A parallelogram has two lines of symmetry."

2. **Definition of Lines of Symmetry**: A line of symmetry is a line that divides a shape into two identical parts that are mirror images of each other.

3. **Analyzing a Parallelogram**: A parallelogram is a quadrilateral with opposite sides that are equal and parallel. The opposite angles are also equal.

4. **Identifying Lines of Symmetry in a Parallelogram**:
- A parallelogram has one line of symmetry that runs through the midpoints of the opposite sides (vertical line).
- Additionally, it has another line of symmetry that runs through the midpoints of the other pair of opposite sides (horizontal line).

5. **Conclusion**: Since a parallelogram has two lines of symmetry, the statement "A parallelogram has two lines of symmetry" is **True**.

**Final Answer**: The statement is **True**.

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