Sunday, 10 September 2017

Polygon

Is It a polygon?


Polygons are 2-dimensional shapes. They are made of straight lines, and the shape is "closed" (all the lines connect up).

pentagon irregular
Polygon 
(straight sides)
not a pentagon (curve)
Not a Polygon 
(has a curve)
not a pentagon (open)
Not a Polygon 
(open, not closed)

 Polygon comes from Greek. Poly- means "many" and -gon means "angle".



Types of Polygons

Regular or Irregular

regular polygon has all angles equal and all sides equal, otherwise it is irregular
pentagon regular
Regular


pentagon irregular
Irregular

Concave or Convex

convex polygon has no angles pointing inwards. More precisely, no internal angle can be more than 180°. If any internal angle is greater than 180° then the polygon is concave. (Think: concave has a "cave" in it)
pentagon irregular
Convex
pentagon concave
Concave

Simple or Complex

simple polygon has only one boundary, and it doesn't cross over itself. A complex polygon intersects itself! Many rules about polygons don't work when it is complex.
pentagon irregular
Simple Polygon
(this one's a Pentagon)
pentagon complex

Complex Polygon
(also a Pentagon)

More Examples

hexagon irregular
Irregular Hexagon 
concave octagon
Concave Octagon
star polygon
Complex Polygon

Names of Polygons

Polygon Song



Exercise




Reference

https://www.mathsisfun.com/geometry/polygons.html
https://www.youtube.com/watch?v=TbR_rakilds
https://www.mathplayground.com/matching_shapes.html


7 comments:

  1. SUPER NICE MAN!! GOOD JOB!!! With this, an A for my maths in UPSR will not loger be a DREAM anymore!!!! THANKS!!

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  2. Such a interesting content. I really enjoy reading this!!!!!!!!

    ReplyDelete
  3. Wow, fantastic job from u guys. I really enjoy referring to it.

    ReplyDelete
  4. Halo ...Can I ask what formula when I want to find the angle for each polygon

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    Replies
    1. Hi, for finding the sum of interior angle for any polygon is
      (n-2) × 180°
      n is the number of side of the polygon.

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  6. ohh I see...I can understand the information easily by the picture provided, thanks

    ReplyDelete