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Let's analyze the given problem:

**Question:**  
Which shape has **5 pairs of opposite sides parallel**?

**Options:**
1. (a) A triangle
2. (b) A parallelogram
3. (c) A decagon (10-sided polygon)

### **Solution:**

- **(a) Triangle:**  
  A triangle has **no parallel sides** because it has only three sides, forming angles that meet at vertices. Hence, it cannot have five pairs of parallel sides.

- **(b) Parallelogram:**  
  A parallelogram has **two pairs** of opposite sides parallel (each pair of opposite sides is parallel). Since this shape only has four sides, it falls short of the required **5 pairs**.

- **(c) Decagon (10-sided polygon):**  
  A regular decagon has **10 sides**. In this shape, **opposite pairs of sides are parallel**. Since there are 10 sides, we can find **5 pairs of opposite parallel sides** (one pair for every 2 sides across the shape).

**Correct Answer:** **(c) Decagon**.  

Let me know if you want further clarification or more details!

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Here are 5 follow-up questions related to this concept:
1. How do you find opposite pairs in other regular polygons (like a hexagon)?
2. What is the general formula for the number of opposite pairs in any regular polygon?
3. Can polygons with an odd number of sides have opposite parallel pairs?
4. How do parallelograms differ from trapezoids in terms of parallel sides?
5. Why do regular polygons tend to have symmetry in opposite pairs?

**Tip:** Regular polygons (like a decagon) often have rotational symmetry, making it easier to identify opposite pairs.

What shape has 5 pairs of opposite sides parallel?

Understand how to identify shapes with 5 pairs of opposite parallel sides. This problem explores the properties of polygons, focusing on regular decagons and parallel sides. Suitable for students in Grades 6-8.

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