EQUILATERAL POLYGON
Definition Of Equilateral Polygon
A polygon with all its sides equal is called an Equilateral Polygon.
More About Equilateral Polygon
All the angles in an equilateral polygon are equal.
Video Examples:Logarithmic Spiral
Example of Equilateral Polygon
The polygons shown above have all their sides equal and are, therefore, equilateral polygons.
Solved Example on Equilateral Polygon
Ques: Identify an equilateral polygon from the figures shown.
Choices:
A. Figure 1
B. Figure 2
C. Figure 3
D. Figure 4
Correct Answer: A
Solution:
Step 1: A polygon with all its sides equal is called an equilateral polygon.
Step 2: Here, only figure 1 has all its sides equal.
Step 3: So, figure 1 is an equilateral polygon.
Quick Summary
- All sides are equal in length.
- Angles are not necessarily equal (except for regular polygons).
🍎 Teacher Insights
Use visual aids and manipulatives to demonstrate different types of equilateral polygons. Emphasize the distinction between equilateral and equiangular.🎓 Prerequisites
- Polygon
- Sides
- Angles
Check Your Knowledge
Q1: Which of the following is an equilateral polygon?
Q2: Which of the following must be true for a polygon to be equilateral?
Frequently Asked Questions
Q: Are all equilateral polygons regular polygons?
A: No, only equilateral polygons with equal angles are regular polygons. A rhombus is equilateral but not regular because its angles are not equal.
Q: Is a square an equilateral polygon?
A: Yes, a square has four equal sides and four equal angles making it a regular and thus an equilateral polygon.