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EQUIANGULAR POLYGON

Equiangular Polygon

Definition Of Equiangular Polygon

A polygon having all its angles equal is called Equiangular Polygon.

More About Equiangular Polygon

All the regular polygons are always equiangular.

Video Examples:Equiangular Polygon Sums
 

Example of Equiangular Polygon

Square is an example of equiangular polygon

 example of  Equiangular Polygon

Equilateral triangle is also an example of equiangular polygon

 examples of  Equiangular Polygon

Solved Example on Equiangular Polygon

Ques: Which of the following is an equiangular polygon?

Choices:

A. Right triangle
B. Isosceles triangle
C. Rectangle
D. Scalene triangle
Correct Answer: C

Solution:

Step 1: A geometric shape having all its angles equal is called equiangular.
Step 2: Here, rectangle is the only shape in which all the angles are equal. 
Step 3: So, rectangle is an equiangular polygon. 

Quick Summary

  • An equiangular polygon has all angles equal.
  • Regular polygons are always equiangular.
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🍎 Teacher Insights

Use visual aids and hands-on activities to demonstrate the concept. Emphasize the difference between equiangular and equilateral.

🎓 Prerequisites

  • Polygons
  • Angles
  • Geometric Shapes

Check Your Knowledge

Q1: Which of the following is an equiangular polygon?

Frequently Asked Questions

Q: Are all rectangles equiangular?
A: Yes, all rectangles are equiangular because they have four right angles.

Q: Are all equiangular polygons regular?
A: No, an equiangular polygon is only regular if it is also equilateral (all sides are equal).

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