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Identify and count the sides of regular polygons in this educational worksheet.

Regular polygon worksheet with eight numbered shapes for identifying and counting sides, including a square, triangle, pentagon, rectangle, trapezoid, irregular quadrilateral, hexagon, and octagon.

Regular polygon worksheet with eight numbered shapes for identifying and counting sides, including a square, triangle, pentagon, rectangle, trapezoid, irregular quadrilateral, hexagon, and octagon.

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Show Answer Key & Explanations Step-by-step solution for: Polygons Worksheets - Math Monks
Let's solve the Regular Polygon Worksheet step by step.

We are asked to:
- Identify the name of each polygon.
- Count the number of sides.

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🔹 Understanding Regular Polygons



A regular polygon has:
- All sides equal in length.
- All interior angles equal.

But note: The worksheet says "Identify the polygon", so we'll use standard names based on the number of sides, even if not all shapes shown are regular (e.g., some might be irregular).

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Now let’s go through each shape:

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1.


Shape: Square
- It has 4 equal sides and 4 right angles.
Name: Square
Number of sides: 4

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2.


Shape: Triangle
- It has 3 sides.
Name: Triangle
Number of sides: 3

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3.


Shape: Pentagon
- A five-sided polygon.
Name: Pentagon
Number of sides: 5

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4.


Shape: Rectangle
- Has 4 sides, opposite sides equal and parallel.
Note: This is not a regular polygon unless it's a square. But the question asks for the name, so we call it a rectangle.
Name: Rectangle
Number of sides: 4

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5.


Shape: Trapezoid
- A quadrilateral with one pair of parallel sides.
Name: Trapezoid
Number of sides: 4

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6.


Shape: Irregular Quadrilateral
- 4 sides, but not a rectangle, square, or trapezoid (based on appearance).
It looks like a kite or an irregular quadrilateral.
But since no specific details are given, we can just call it a quadrilateral.
Name: Quadrilateral
Number of sides: 4

> Note: If it's a kite or rhombus, that would require more symmetry. But without clear markings, "quadrilateral" is safest.

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7.


Shape: Hexagon
- Six sides, and appears regular (all sides equal, symmetric).
Name: Hexagon
Number of sides: 6

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8.


Shape: Octagon
- Eight sides, regular-looking.
Name: Octagon
Number of sides: 8

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Final Answers:



| No | Name | Number of Sides |
|----|---------------|------------------|
| 1 | Square | 4 |
| 2 | Triangle | 3 |
| 3 | Pentagon | 5 |
| 4 | Rectangle | 4 |
| 5 | Trapezoid | 4 |
| 6 | Quadrilateral | 4 |
| 7 | Hexagon | 6 |
| 8 | Octagon | 8 |

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📝 Notes:


- Shapes 1–3 and 7–8 are regular polygons (equal sides and angles).
- Shapes 4–6 are quadrilaterals, but only 1 and 4 are regular (square), others are irregular.

Even though the title says "Regular Polygon Worksheet", not all shapes shown are regular — so we identify them by their general names.

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Completed Worksheet Answer Key:

```
1. Name: Square No of sides: 4
2. Name: Triangle No of sides: 3
3. Name: Pentagon No of sides: 5
4. Name: Rectangle No of sides: 4
5. Name: Trapezoid No of sides: 4
6. Name: Quadrilateral No of sides: 4
7. Name: Hexagon No of sides: 6
8. Name: Octagon No of sides: 8
```

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Parent Tip: Review the logic above to help your child master the concept of polygons worksheet 5th grade.
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