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.
---
🔹 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).
---
Now let’s go through each shape:
---
1.
Shape: Square
- It has 4 equal sides and 4 right angles.
✔ Name: Square
✔ Number of sides: 4
---
2.
Shape: Triangle
- It has 3 sides.
✔ Name: Triangle
✔ Number of sides: 3
---
3.
Shape: Pentagon
- A five-sided polygon.
✔ Name: Pentagon
✔ Number of sides: 5
---
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
---
5.
Shape: Trapezoid
- A quadrilateral with one pair of parallel sides.
✔ Name: Trapezoid
✔ Number of sides: 4
---
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.
---
7.
Shape: Hexagon
- Six sides, and appears regular (all sides equal, symmetric).
✔ Name: Hexagon
✔ Number of sides: 6
---
8.
Shape: Octagon
- Eight sides, regular-looking.
✔ Name: Octagon
✔ Number of sides: 8
---
✔ 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 |
---
📝 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.
---
✔ 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
```
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of polygons worksheet 5th grade.