Polygons


   1. Convex and concave polygon

   A polygon is a closed plane figure made up of several line segments that are joined together.

    In the picture, there are two polygons: A and B.

    Every angle of the polygon A is less than or equal to 180°. It is called a convex polygon.

    The polygon B has an angle that is greater than 180°. It is called concave polygon.


    2. Types of polygons based on number of sides

    We have the following polygons: the triangle (three-sided polygon), the quadrilateral (four-sided polygon), the pentagon (five-sided polygon), the hexagon (six-sided polygon), heptagon (seven-sided polygon), the octagon (eight-sided polygon), the nonagon (nine-sided polygon) and the decagon (ten-sided polygon).

   Answer these questions:

The polygon A is...

The polygon B is...

The polygon C is...

The polygon D is...

The polygon E is...








   3. Irregular Polygons

    Note that the polygons F to K do not have all sides equal and all angles equal. These polygons are called irregular.

    Answer these questions:

The polygon F is...

The polygon G is......

The polygon H is......

The polygon I is...

The polygon J is...

The polygon K is...


    4. Regular Polygons

    A polygon with equal sides and angles is called regular.

    Answer these questions:

The polygon L is...

The polygon M is...

The polygon N is...

The polygon O is...

The polygon P is...








   5. Polygon parts

   Look at the polygon ABCDE! Each point is a vertex. In the picture, there are 5 vertices: A, B, C, D and C. The sides are the line segments that make up the polygon. In this case, we have 5 sides: AB, BC, CD, DE and EA.

    The diagonal is all line connecting two non consecutive vertices. In the picture, we can see that there are two diagonals per vertex. There are 5 diagonals: AC, AD, BD, BE and CE.

    Look at the picture and answer:

The A is...

The AB is...

The AC is...

The AD is...

The D is...

The AE is...

The B is...

The C is...

The CD is...

The BE is...

The BC is...

The CA is...



 


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| Educational applications | Mathematics |
In Spanish  | To print

®Arturo Ramo García.-Record of intellectual property of Teruel (Spain) No 141, of 29-IX-1999
Plaza Playa de Aro, 3, 1º DO 44002-TERUEL