The image you've uploaded is a
worksheet titled "Identifying Irregular Shapes", with an
answer key on the right side. The task is to identify the type of polygon (by number of sides) for each irregular shape shown.
Let’s go through the
solution and explanation step by step:
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🔍 Objective:
Identify the
number of sides in each irregular polygon and name it accordingly using standard polygon names.
Here are the standard polygon names based on number of sides:
| Number of Sides | Name |
|------------------|--------------|
| 3 | Triangle |
| 4 | Quadrilateral|
| 5 | Pentagon |
| 6 | Hexagon |
| 7 | Heptagon |
| 8 | Octagon |
| 9 | Nonagon |
| 10 | Decagon |
Note: These shapes are
irregular, meaning their sides and angles are not equal, but we only care about the
number of sides to classify them.
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✔ Answers with Explanation:
We’ll go through each shape and count its sides:
1.
Shape 1: Has 9 sides →
Nonagon
2.
Shape 2: Has 5 sides →
Pentagon
3.
Shape 3: Has 10 sides →
Decagon
4.
Shape 4: Has 8 sides →
Octagon
5.
Shape 5: Has 8 sides →
Octagon
6.
Shape 6: Has 10 sides →
Decagon
7.
Shape 7: Has 4 sides →
Quadrilateral
8.
Shape 8: Has 10 sides →
Decagon
9.
Shape 9: Has 5 sides →
Pentagon
10.
Shape 10: Has 9 sides →
Nonagon
11.
Shape 11: Has 6 sides →
Hexagon
12.
Shape 12: Has 8 sides →
Octagon
13.
Shape 13: Has 7 sides →
Heptagon
14.
Shape 14: Has 8 sides →
Octagon
15.
Shape 15: Has 5 sides →
Pentagon
16.
Shape 16: Has 7 sides →
Heptagon
17.
Shape 17: Has 7 sides →
Heptagon
18.
Shape 18: Has 5 sides →
Pentagon
19.
Shape 19: Has 9 sides →
Nonagon
20.
Shape 20: Has 9 sides →
Nonagon
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📌 Final Answer Key (as given):
The answer key provided in the image matches our analysis exactly:
1. nonagon
2. pentagon
3. decagon
4. octagon
5. octagon
6. decagon
7. quadrilateral
8. decagon
9. pentagon
10. nonagon
11. hexagon
12. octagon
13. heptagon
14. octagon
15. pentagon
16. heptagon
17. heptagon
18. pentagon
19. nonagon
20. nonagon
✔ All answers are correct.
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💡 Tips for Students:
- Count the
corners (vertices) or
sides carefully.
- Even if the shape looks “broken” or jagged, every straight edge counts as a side.
- Irregular shapes may have indentations, but that doesn’t change the number of sides.
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🧠 Summary:
This worksheet helps students practice identifying polygons based on the number of sides, even when they are irregular. The key is counting the sides accurately — regardless of symmetry or appearance.
Let me know if you'd like a printable version or a visual guide!
Parent Tip: Review the logic above to help your child master the concept of free printable irregular shapes.