📐 Part 1: Polygon Classification

1. Which of these shapes is NOT a polygon?

Triangle

Circle

Hexagon

Pentagon

2. A regular polygon has:

All sides equal but different angles

All angles equal but different side lengths

All sides and angles equal

No equal sides or angles

3. Which properties make a shape a polygon? (Tick all that apply)

Made of straight sides

Forms a closed figure

Has curved edges

Has vertices where sides meet

4. Fill in the blanks:

A polygon with 8 sides is called an ____________.

A polygon with 10 sides is called a ____________.

🧮 Part 2: Interior Angle Calculations

5. Using the formula (n − 2) × 180°, calculate the sum of interior angles for:

a) A hexagon (6 sides): _______________

b) An octagon (8 sides): _______________

c) A nonagon (9 sides): _______________

6. If the sum of interior angles in a polygon is 1080°, how many sides does it have?

Show your working above. Number of sides: _______

7. In a regular pentagon, each interior angle measures:

72°

108°

120°

540°

🏗️ Part 3: Polygon Construction Challenge

8. Design your own regular hexagon in the space below. Use a ruler and protractor to make it as accurate as possible.

9. Real-World Polygon Hunt: Name three objects you might find in your school or home that are shaped like polygons. Identify the type of polygon for each.

10. Explain why it's impossible for a polygon to have interior angles that sum to 1000°. Show your reasoning.

Exploring Polygons Worksheet

Exploring Polygons Worksheet

📐 Part 1: Polygon Classification

🧮 Part 2: Interior Angle Calculations

🏗️ Part 3: Polygon Construction Challenge

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