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To determine the number of lines of reflective symmetry and centers of rotational symmetry for the parallelogram shown:

1. **Reflective Symmetry**: Reflective symmetry occurs when a figure can be divided into two mirror-image halves. Parallelograms, in general, do not possess any lines of reflective symmetry unless they are special types like a rectangle. Since the given parallelogram is not a rectangle, it has **0 lines of reflective symmetry**.

2. **Rotational Symmetry**: A shape has rotational symmetry if it can be rotated by a certain angle and still look the same. A parallelogram typically has rotational symmetry of order 2, meaning it looks the same after a 180-degree rotation. Therefore, the parallelogram has **1 center of rotational symmetry**.

### Conclusion:
The correct answer is **(b) 0 lines of reflective symmetry and one center of rotational symmetry**.

Would you like more details or have any questions?

### Follow-up Questions:
1. What are the conditions for a shape to have reflective symmetry?
2. How is rotational symmetry different from reflective symmetry?
3. Can a parallelogram ever have reflective symmetry? If so, under what conditions?
4. What are some real-world examples of objects with rotational symmetry?
5. How does the order of rotational symmetry affect the angle of rotation?

### Tip:
Always check for both reflection and rotation to fully understand the symmetry of a shape.

How many lines of reflective symmetry and how many centers of rotational symmetry does the parallelogram depicted have?

Understand the concepts of symmetry in a parallelogram, focusing on the absence of reflective symmetry and the presence of rotational symmetry with one center. Suitable for students in Grades 8-10.

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