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Introduction to Polygons

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Introduction to Polygons

Introduction to Polygons

Various polygon shapes including triangles, squares, pentagons and hexagons

🔍 Part 1: Identifying Polygons

1. What is a polygon? Circle the correct answer:

A shape with curved sides

A closed shape with straight sides

Any round shape

A shape with only 4 sides

2. Which of these are polygons? Check all that apply:

Triangle

Circle

Square

Pentagon

Oval

Hexagon

3. Fill in the blanks:

A polygon is a _________ shape made up of straight _________ and _________. The corners of a polygon are called _________.

📊 Part 2: Counting Sides and Vertices

4. Complete the table by filling in the missing information:
Triangle: _____ sides, _____ vertices
Quadrilateral: _____ sides, _____ vertices
Pentagon: _____ sides, _____ vertices
Hexagon: _____ sides, _____ vertices
Octagon: _____ sides, _____ vertices
5. Match the polygon names with their number of sides:
1. Triangle (Tapatoru)
2. Quadrilateral
3. Pentagon
4. Hexagon
5. Octagon
A. 8 sides
B. 4 sides
C. 6 sides
D. 3 sides
E. 5 sides

📏 Part 3: Regular vs Irregular Polygons

6. What makes a polygon "regular"? Circle the best answer:

It has more than 4 sides

All sides and angles are equal

It has curved sides

It is very large

7. Draw two examples in the boxes below:

Regular Triangle:

Irregular Quadrilateral:

📐 Part 4: Understanding Perimeter

8. What is perimeter?
9. Calculate the perimeter of these regular polygons:

Regular triangle with sides of 4cm each:

Perimeter = _____ + _____ + _____ = _____ cm

Regular pentagon with sides of 3cm each:

Perimeter = _____ + _____ + _____ + _____ + _____ = _____ cm

Regular hexagon with sides of 2cm each:

Perimeter = _________________ = _____ cm

10. A square playground has sides that are 15 metres long. What is the perimeter of the playground?

🏠 Part 5: Real-Life Polygons

11. List three real-life objects that are polygon shapes and identify what type of polygon they are:
Object: _________________ Type: _________________
Object: _________________ Type: _________________
Object: _________________ Type: _________________
12. Why might it be useful to know the perimeter of a shape? Give two examples:
1. _________________________________________________
2. _________________________________________________
13. Challenge: Design your own regular polygon with 7 sides (heptagon) in the space below. Remember, all sides must be equal length!

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