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What are the different kinds of polygons?

Updated: 4/28/2022
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11y ago

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Some examples are:

Triangle, 3 side and 180 degrees of internal angles

Quadrilateral, 4 sides and 360 degrees of internal angles

Pentagon, 5 sides and 540 degrees of internal angles

Hexagon, 6 sides and 720 degrees of internal angles

Heptagon, 7 sides and 900 degres of internal angles

Octagon, 8 sides and 1080 degrees of internal angles

All polygons have a total sum of 360 degrees of external angles.

Polygons can be classified into different kinds depending on certain characteristics like:

Convex: any line drawn through the polygon meets its boundary exactly twice.

Non-convex: a line may be found which meets its boundary more than twice.

Simple: the boundary of the polygon does not cross itself.

Concave: non-convex and simple.

Star-shaped: the whole interior is visible from a single point, without crossing any edge.

Self-intersecting: the boundary of the polygon crosses itself.

Star polygon: a polygon which self-intersects in a regular way.

  • Triangle - has 3 sides
  • Quadrilateral - has 4 sides
  • Pentagon - has 5 sides
  • Hexagon - has 6 sides
  • Heptagon - has 7 sides
  • Octagon - has 8 sides
  • Nonagon - has 9 sides
  • Decagon - has 10 sides
  • Dodecagon - has 12 sides

A polygon can have any number of sides that can enclose an area, beginning with a triangle (3). You can have as many sides in polygon that you want. Tetragon (square), pentagon, hexagon, heptagon, octagon, nonagon, decagon, undecagon, dodecagon, triangle, and a quadriliateral. That's all the "named" polygons, but you can have a polygon with 100 sides if you want! The root 'Poly' just means 'many'. A polygon can not have intersecting lines, curved lines, less than three sides, and no gaps. A polygon has to follow those rules but it can be whatever shape that you want it to be!
triangle, quadrilateral,pentagon,hexagon,heptagon,octagon,nonagon,decagon,undecagon,dodecagon
Polygons can be classified into different kinds depending on certain characteristics like:

Convex: any line drawn through the polygon meets its boundary exactly twice.

Non-convex: a line may be found which meets its boundary more than twice.

Simple: the boundary of the polygon does not cross itself.

Concave: non-convex and simple.

Star-shaped: the whole interior is visible from a single point, without crossing any edge.

Self-intersecting: the boundary of the polygon crosses itself.

Star polygon: a polygon which self-intersects in a regular way
Polygons can be classified into different kinds depending on certain characteristics like:

Convex: any line drawn through the polygon meets its boundary exactly twice.

Non-convex: a line may be found which meets its boundary more than twice.

Simple: the boundary of the polygon does not cross itself.

Concave: non-convex and simple.

Star-shaped: the whole interior is visible from a single point, without crossing any edge.

Self-intersecting: the boundary of the polygon crosses itself.

Star polygon: a polygon which self-intersects in a regular way.

  • Triangle - has 3 sides
  • Quadrilateral - has 4 sides
  • Pentagon - has 5 sides
  • Hexagon - has 6 sides
  • Heptagon - has 7 sides
  • Octagon - has 8 sides
  • Nonagon - has 9 sides
  • Decagon - has 10 sides
  • Dodecagon - has 12 sides

All polygons have a total sum of 360 degrees of external angles.

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