POLYGON
Definition Of Polygon
A polygon is a closed plane figure made up of 3 or more line segments.
More About Polygon
Polygons have special names depending on the number of lines forming their boundary.
For example, a polygon with three sides is called a triangle.
A polygon with four sides is called a quadrilateral.
A polygon with five sides is called a pentagon.
Polygons that have all sides measure the same are called regular polygons.
Video Examples: What is a polygon
Example of Polygon
The figure shows a few polygons.
Solved Example on Polygon
Ques: Identify the set hat shows the polygons arranged in the decreasing order of number of sides.
Choices:
A. Octagon, hexagon, pentagon, and quadrilateral
B. Pentagon, hexagon, octagon, and quadrilateral
C. Quadrilateral, pentagon, hexagon, and octagon
D. Hexagon, pentagon, quadrilateral, and octagon
Correct Answer: A
Solution:
Step 1: The number of sides of quadrilateral, hexagon, pentagon, and octagon are 4, 6, 5 and 8 respectively.
Step 2: Decreasing order means arranging from the greatest to the least.
Step 3: The decreasing order of the polygons with respect to the number of sides is octagon (8), hexagon (6), pentagon (5), and quadrilateral (4).
Quick Summary
- Polygons are closed figures.
- Polygons are made of line segments.
- Polygons have different names based on the number of sides (e.g., triangle, quadrilateral, pentagon).
🍎 Teacher Insights
Use visual aids and real-world examples to help students understand polygons. Hands-on activities like building polygons with straws can be effective.🎓 Prerequisites
- Lines
- Angles
- Basic Geometric Shapes
Check Your Knowledge
Q1: Which of the following is NOT a polygon?
Q2: A polygon with four sides is called a:
Frequently Asked Questions
Q: What is the difference between a regular and irregular polygon?
A: A regular polygon has all sides and angles equal, while an irregular polygon does not.
Q: Can a circle be considered a polygon?
A: No, a circle is not a polygon because it is not made up of line segments.