Exploring Polygons Worksheet

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📐 Part 1: Polygon Classification

1. Which of these describes a regular polygon?

All sides are equal length

All angles are equal

All sides are equal AND all angles are equal

It has more than 4 sides

2. A polygon with 8 sides is called a:

Heptagon

Octagon

Nonagon

Decagon

3. Complete the table by naming each polygon:

3 sides: ________________

5 sides: ________________

6 sides: ________________

10 sides: ________________

🧮 Part 2: Interior Angles

4. The formula for finding the sum of interior angles in a polygon is:

n × 180°

(n - 2) × 180°

(n + 2) × 180°

n × 360°

5. Calculate the sum of interior angles for each polygon. Show your working:

Pentagon (5 sides):

Heptagon (7 sides):

6. A polygon has interior angles that sum to 1440°. How many sides does it have?

✏️ Part 3: Construction & Real World

7. Draw a regular hexagon in the space below. Label each vertex.

8. Identify the polygons you might find in these real-world objects:

Football (soccer ball): ________________ and ________________

Stop sign: ________________

Honeycomb cell: ________________

9. Explain the difference between a regular and irregular polygon using examples:

Exploring Polygons Worksheet

Exploring Polygons Worksheet

📐 Part 1: Polygon Classification

🧮 Part 2: Interior Angles

✏️ Part 3: Construction & Real World

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