Regular Polygons

A Regular Polygon has

(1) all side equal

(2) all angles equal

 

Examples :

4.jpg

In ∆ ABC

AB = AC = BC

and ∠A = ∠B = ∠ C

∴ Δ ABC is a regular polygon

5.jpg

ABCD is a square in which

     AB = BC = CD = DA

and ∠A = ∠B = ∠C = ∠D   

∴ ABCD is a regular Polygon   

13.jpg 14.jpg

 

 

  1. Chapter 3 Class 8 Understanding Quadrilaterals
  2. Concept wise
Ask Download

Transcript

Regular Polygons A Regular Polygon has all side equal all angles equal Examples : In ∆ ABC AB = AC = BC and ∠A = ∠B = ∠ C Irregular polygons A Polygon which is not a regular Polygon is an irregular polygon. Examples : Δ ABC is a right angle triangle, where ∠A ≠ ∠B ≠ ∠C and AB ≠ BC ≠ AC. ∴ Δ ABC is a regular polygon ABCD is a square in which AB = BC = CD = DA and ∠A = ∠B = ∠C = ∠D ∴ ABCD is a regular Polygon ∴ Δ ABC is not a regular polygon ABCD is a rectangle, In a rectangle, all angles are 90° ⇒ ∠A = ∠B = ∠C = ∠D And opposite sides are equal ∴ AB = CD and AD = BC But, AB ≠ BC ≠ CD ≠ AD. i.e. All sides are not equal ∴ ABCD is not a regular Polygon

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.