Let's solve the problem step by step.
🔍 Understanding the Task
The worksheet asks you to fill in a table with the
number of sides and
number of angles for each listed polygon. The key idea is:
> In any polygon, the
number of sides equals the number of angles.
This is because each side meets another at a vertex (corner), forming an angle.
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✔ Step-by-Step Solution
We'll go through each polygon listed in the table:
1.
Quadrilateral
- "Quad" means 4 → has
4 sides
- Therefore, it has
4 angles
2.
Pentagon
- "Penta" means 5 → has
5 sides
- So,
5 angles
3.
Octagon
- "Octa" means 8 → has
8 sides
- So,
8 angles
4.
Hexagon
- "Hexa" means 6 → has
6 sides
- So,
6 angles
5.
Triangle
- "Tri" means 3 → has
3 sides
- So,
3 angles
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✔ Completed Table
| Name of Polygons | Sides | Angles |
|------------------|-------|--------|
| quadrilateral | 4 | 4 |
| pentagon | 5 | 5 |
| octagon | 8 | 8 |
| hexagon | 6 | 6 |
| triangle | 3 | 3 |
---
📝 Explanation
- All polygons have the same number of
sides and
angles.
- The name of the polygon gives a clue about how many sides it has:
- *Tri-* = 3
- *Quad-* = 4
- *Penta-* = 5
- *Hexa-* = 6
- *Octa-* = 8
This pattern helps us quickly determine both sides and angles.
✔ Final Answer:
- Quadrilateral: 4 sides, 4 angles
- Pentagon: 5 sides, 5 angles
- Octagon: 8 sides, 8 angles
- Hexagon: 6 sides, 6 angles
- Triangle: 3 sides, 3 angles
Parent Tip: Review the logic above to help your child master the concept of polygon shapes worksheet.
