Geometry Worksheets | Polygons Worksheets - Free Printable

Let's solve this step-by-step.

The task is to identify the type of each regular polygon shown in the image. A regular polygon has all sides and angles equal. We identify them by counting the number of sides, then naming the polygon based on that number.

Here are the standard names for polygons based on the number of sides:

- 3 sides: Triangle
- 4 sides: Quadrilateral (specifically a square if regular)
- 5 sides: Pentagon
- 6 sides: Hexagon
- 7 sides: Heptagon
- 8 sides: Octagon
- 9 sides: Nonagon
- 10 sides: Decagon
- 11 sides: Hendecagon
- 12 sides: Dodecagon

Now let’s examine each shape in the image:

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Step-by-step Analysis

We’ll go through each numbered polygon and count its sides.

1) Shape 1: It has 8 sides → Octagon
2) Shape 2: It has 7 sides → Heptagon
3) Shape 3: It has 8 sides → Octagon
4) Shape 4: It has 8 sides → Octagon
5) Shape 5: It has 5 sides → Pentagon
6) Shape 6: It has 5 sides → Pentagon
7) Shape 7: It has 7 sides → Heptagon
8) Shape 8: It has 8 sides → Octagon
9) Shape 9: It has 8 sides → Octagon
10) Shape 10: It has 8 sides → Octagon
11) Shape 11: It has 10 sides → Decagon
12) Shape 12: It has 8 sides → Octagon

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✔ Final Answers:

1) Octagon
2) Heptagon
3) Octagon
4) Octagon
5) Pentagon
6) Pentagon
7) Heptagon
8) Octagon
9) Octagon
10) Octagon
11) Decagon
12) Octagon

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🔍 Explanation:

Each shape is regular (equal sides and angles), so we only need to count the sides to determine the name.

- Pentagon = 5 sides
- Heptagon = 7 sides
- Octagon = 8 sides
- Decagon = 10 sides

Most of these are octagons (8 sides), but there are two pentagons (5 sides), two heptagons (7 sides), and one decagon (10 sides).

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✔ Answer Key Summary:

| Number | Type |
|--------|-------------|
| 1 | Octagon |
| 2 | Heptagon |
| 3 | Octagon |
| 4 | Octagon |
| 5 | Pentagon |
| 6 | Pentagon |
| 7 | Heptagon |
| 8 | Octagon |
| 9 | Octagon |
| 10 | Octagon |
| 11 | Decagon |
| 12 | Octagon |

You can now fill in the blanks accordingly!