Students identify polygons by circling correct shapes and matching polygon types to the number of sides.
Identifying Polygons Worksheet with shapes to circle and a table listing polygon types and their number of sides.
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Step-by-step solution for: Polygons Worksheets - Math Monks
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Show Answer Key & Explanations
Step-by-step solution for: Polygons Worksheets - Math Monks
Let's solve this "Identifying Polygons Worksheet" step by step.
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#### ✔ What is a polygon?
A polygon is a closed 2D shape made up of straight line segments (no curves). It must have:
- Straight sides
- Closed shape
- No gaps or curves
Now, let’s examine each shape in the image:
1. Triangle – ✔ Yes (3 straight sides, closed)
2. Rectangle – ✔ Yes (4 straight sides, closed)
3. Pentagon – ✔ Yes (5 straight sides, closed)
4. Circle – ✘ No (it has a curve, not straight sides)
5. Arrow-shaped figure (with a pointed end) – ✘ No (has curved edges or non-straight lines? Actually, in this case, it appears to be made of straight lines but with an open side — wait, look closely: it's closed and made of straight lines → Yes, it is a polygon)
- Wait! Let's clarify: The arrow shape has straight lines and is closed → ✔ It is a polygon
6. Square – ✔ Yes (4 equal straight sides)
7. Trapezoid – ✔ Yes (4 straight sides, closed)
8. Diamond (rhombus) – ✔ Yes (4 straight sides, closed)
9. Hexagon – ✔ Yes (6 straight sides)
10. Parallelogram – ✔ Yes (4 straight sides)
11. Arrow shape (right-pointing) – ✔ Yes (made of straight lines, closed)
12. Rhombus (diamond) – ✔ Yes (same as above)
Wait — we need to check each one carefully.
Let’s go row by row:
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#### Row 1:
1. Triangle → ✔ Polygon
2. Rectangle → ✔ Polygon
3. Pentagon → ✔ Polygon
4. Circle → ✘ Not a polygon (curve)
#### Row 2:
5. Arrow shape (like a house with a pointy tip) → This looks like a pentagon (5 sides), all straight, closed → ✔ Polygon
6. Square → ✔ Polygon
7. Trapezoid → ✔ Polygon
8. Diamond (rhombus) → ✔ Polygon
#### Row 3:
9. Hexagon → ✔ Polygon
10. Parallelogram → ✔ Polygon
11. Right-pointing arrow → This has straight sides, closed, so yes → ✔ Polygon
12. Rhombus (diamond) → ✔ Polygon
⚠️ But wait — there are 12 shapes, and only 1 circle (the circle is the only non-polygon).
So, only the circle is NOT a polygon.
✔ So, circle all except the circle.
> 🟩 Answer for Part 1: Circle all shapes EXCEPT the circle.
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We are given a table with polygon names and numbers from 2 to 8. We need to circle the correct number of sides.
| Shape | Number of Sides |
|-------------|-----------------|
| Triangle | 3 |
| Rectangle | 4 |
| Square | 4 |
| Pentagon | 5 |
| Hexagon | 6 |
| Heptagon | 7 |
Now, fill in the table:
1. Triangle → circle 3
2. Rectangle → circle 4
3. Square → circle 4
4. Pentagon → circle 5
5. Hexagon → circle 6
6. Heptagon → circle 7
> 🟩 Answer for Part 2:
>
> - Triangle → ✔ 3
> - Rectangle → ✔ 4
> - Square → ✔ 4
> - Pentagon → ✔ 5
> - Hexagon → ✔ 6
> - Heptagon → ✔ 7
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#### Part 1: Circle the polygons
- Circle all shapes except the circle.
- So, do not circle the circle; circle the other 11 shapes.
#### Part 2: Number of sides
| Shape | Correct Answer |
|-------------|----------------|
| Triangle | 3 |
| Rectangle | 4 |
| Square | 4 |
| Pentagon | 5 |
| Hexagon | 6 |
| Heptagon | 7 |
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- Polygons must be closed and made of straight line segments.
- Circles are not polygons because they are curved.
- All other shapes shown (triangles, rectangles, pentagons, etc.) are polygons.
Let me know if you'd like a printable version or visual guide!
---
🔹 Part 1: Circle the shapes that are polygons
#### ✔ What is a polygon?
A polygon is a closed 2D shape made up of straight line segments (no curves). It must have:
- Straight sides
- Closed shape
- No gaps or curves
Now, let’s examine each shape in the image:
1. Triangle – ✔ Yes (3 straight sides, closed)
2. Rectangle – ✔ Yes (4 straight sides, closed)
3. Pentagon – ✔ Yes (5 straight sides, closed)
4. Circle – ✘ No (it has a curve, not straight sides)
5. Arrow-shaped figure (with a pointed end) – ✘ No (has curved edges or non-straight lines? Actually, in this case, it appears to be made of straight lines but with an open side — wait, look closely: it's closed and made of straight lines → Yes, it is a polygon)
- Wait! Let's clarify: The arrow shape has straight lines and is closed → ✔ It is a polygon
6. Square – ✔ Yes (4 equal straight sides)
7. Trapezoid – ✔ Yes (4 straight sides, closed)
8. Diamond (rhombus) – ✔ Yes (4 straight sides, closed)
9. Hexagon – ✔ Yes (6 straight sides)
10. Parallelogram – ✔ Yes (4 straight sides)
11. Arrow shape (right-pointing) – ✔ Yes (made of straight lines, closed)
12. Rhombus (diamond) – ✔ Yes (same as above)
Wait — we need to check each one carefully.
Let’s go row by row:
---
#### Row 1:
1. Triangle → ✔ Polygon
2. Rectangle → ✔ Polygon
3. Pentagon → ✔ Polygon
4. Circle → ✘ Not a polygon (curve)
#### Row 2:
5. Arrow shape (like a house with a pointy tip) → This looks like a pentagon (5 sides), all straight, closed → ✔ Polygon
6. Square → ✔ Polygon
7. Trapezoid → ✔ Polygon
8. Diamond (rhombus) → ✔ Polygon
#### Row 3:
9. Hexagon → ✔ Polygon
10. Parallelogram → ✔ Polygon
11. Right-pointing arrow → This has straight sides, closed, so yes → ✔ Polygon
12. Rhombus (diamond) → ✔ Polygon
⚠️ But wait — there are 12 shapes, and only 1 circle (the circle is the only non-polygon).
So, only the circle is NOT a polygon.
✔ So, circle all except the circle.
> 🟩 Answer for Part 1: Circle all shapes EXCEPT the circle.
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🔹 Part 2: Circle the appropriate number of sides each type of polygon has
We are given a table with polygon names and numbers from 2 to 8. We need to circle the correct number of sides.
| Shape | Number of Sides |
|-------------|-----------------|
| Triangle | 3 |
| Rectangle | 4 |
| Square | 4 |
| Pentagon | 5 |
| Hexagon | 6 |
| Heptagon | 7 |
Now, fill in the table:
1. Triangle → circle 3
2. Rectangle → circle 4
3. Square → circle 4
4. Pentagon → circle 5
5. Hexagon → circle 6
6. Heptagon → circle 7
> 🟩 Answer for Part 2:
>
> - Triangle → ✔ 3
> - Rectangle → ✔ 4
> - Square → ✔ 4
> - Pentagon → ✔ 5
> - Hexagon → ✔ 6
> - Heptagon → ✔ 7
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✔ Final Answers:
#### Part 1: Circle the polygons
- Circle all shapes except the circle.
- So, do not circle the circle; circle the other 11 shapes.
#### Part 2: Number of sides
| Shape | Correct Answer |
|-------------|----------------|
| Triangle | 3 |
| Rectangle | 4 |
| Square | 4 |
| Pentagon | 5 |
| Hexagon | 6 |
| Heptagon | 7 |
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🔍 Summary of Key Concepts:
- Polygons must be closed and made of straight line segments.
- Circles are not polygons because they are curved.
- All other shapes shown (triangles, rectangles, pentagons, etc.) are polygons.
Let me know if you'd like a printable version or visual guide!
Parent Tip: Review the logic above to help your child master the concept of polygons worksheet 3rd grade.