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regular polygon-all the sides are the same length and the angles have the same measurement.

polygon-a closed plane figure whose sides are segments that intersect at their endpoints.

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Q: Why is a regular polygon different from other polygons?
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Which polygon will not tessellate a plane?

Most regular polygons will not - by themselves. In fact, of the regular polygons, only a triangle, square and hexagon will. No other regular polygon will create a regular tessellation.


Which polygon does not tessellate and why?

Most regular polygons will not - by themselves. In fact, of the regular polygons, only a triangle, square and hexagon will. No other regular polygon will create a regular tessellation. However, for polygons with any number of sides, there are irregular versions that can tessellate.


If the measure of one interior angle of a regular polygon is 90 degrees how many sides does the polygon have?

The only regular polygon with an interior angle of 90 degrees is the square, which has four sides. Other polygons can have an interior angle of 90 degrees, but they would not be regular polygons.


Is it possible to create a regular tesselation with a regular polygon?

Certain polygons, yes. Squares, Triangles and Hexagons are all shapes which, in their regular form, can tessellate. Other polygons cannot.


What polygon is not regular?

Most polygons are not regular. A regular polygon is one in which all the sides are the same length AND all angle are the same measure. An irregular polygon is one for which either one or the other (or both) of these requirements are not met.


Is a polygon is an octagon?

If the octagon is a regular octagon (all eight sides and all eight angles are equal), then it is a regular polygon. If it is not a regular octagon (i.e. if it is an irregular octagon) then is it an irregular polygon.


What polygon has no right angle?

There is only one regular polygon which contains right angles - this is a square. None of the other regular polygons from 3 sides and upwards has a right angle.


Is a triangle a small regular polygon?

A regular polygon is any polygon that has sides which are the same length and angles whose measures are equal. An equilateral triangle (also equiangular triangle) is a regular polygon. Other isosceles triangles (equilateral triangles are isosceles, but they are an exception) and scalene triangles are not regular polygons. A side note: Only in a triangle is a polygon regular solely if it is equilateral. (Since an equilateral triangle is equiangular as well). This is NOT always true in other polygons, like quadrilaterals, where it can be equilateral but not necessarily equiangular (a rhombus) or equiangular but not equilateral (a rectangle).


What polygons can be irregular?

A regular polygon is defined as a polygon having sides that are all of equal length. Any polygon can be irregular. It is always possible to have a side that is either longer or shorter than the other sides, or indeed, for every side to be of a different length.


What are the different kinds of polygons and their interior angle?

Polygons can be classified in a number of ways. A convex polygon is one in which a straight line joining any two points inside the polygon lies wholly inside the polygon. One consequence is that all its interior angles are less than 180 degrees. A concave polygon is one in which at least one angle is a reflex angle (> 180 deg). Generally, a polygon may be assumed to be convex unless otherwise specified. A regular polygon is one in which all the sides are of equal length AND all the angles are of equal measure. An irregular polygon is one in which at least one side is of a different length from the others OR at least one angle is of a different measure from the others. Polygons can have three or more sides. There is no limit to the number of sides that a polygon may have. The interior angle of a polygon is pre-determined only if it is regular. In a regular polygon with n sides, each interior angle has a measure of 180*(n-2)/n degrees. A regular triangle [equilateral] is acute angled; a regular quadrilateral [square] is right angled and all other regular polygons are obtuse angled.


When a polygon can be constructed by using a combination if other polygons its called?

Since any polygon can be constructed from a combination of other polygons, I would call this rule a "trivial property of polygons".


Is regular polygons also similar?

-- All regular (equilateral) triangles are similar. -- All squares are similar. -- All pentagons are similar. -- All hexagons are similar. . . . etc. Any regular polygon is similar to all other regular polygons with the same number of sides.