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Exploring Polygons
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Exploring Polygons
📐 Part 1: Polygon Classification
1. Which of these shapes is NOT a polygon?
Triangle
Circle
Pentagon
Hexagon
2. A polygon with 8 sides is called a(n) _______________.
3. Tick all the properties that make a polygon "regular":
All sides are equal length
All angles are equal
Has curved sides
Has at least 6 sides
4. Match each polygon to its correct number of sides:
Triangle
Quadrilateral
Pentagon
Hexagon
6 sides
4 sides
3 sides
5 sides
🧮 Part 2: Interior Angles
5. The formula for finding the sum of interior angles in a polygon is:
n × 180°
(n - 2) × 180°
(n + 2) × 180°
n × 360°
6. Calculate the sum of interior angles for a pentagon (5 sides):
7. If a polygon has an interior angle sum of 1080°, how many sides does it have?
8. In a regular hexagon, each interior angle measures ______°.
Hint: Find the sum first, then divide by the number of angles.
🎯 Part 3: Problem Solving
9. Draw and label a polygon that has exactly 4 vertices and explain why it's a polygon:
10. Explain the difference between a regular and irregular polygon using an example:
11. Challenge: A polygon has interior angles that sum to 1440°. What type of polygon is it and what would each angle measure if it were regular?
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