A pyramid
13 triangles will be formed
Certain polygons, yes. Squares, Triangles and Hexagons are all shapes which, in their regular form, can tessellate. Other polygons cannot.
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).
Since any polygon can be constructed from a combination of other polygons, I would call this rule a "trivial property of polygons".
You are describing a polygon. Polygons can be triangles (3 sides), quadrilaterals (4 sides) etc... and some have special names. A square, for example, is a four sided polygon with all sides the same length and all angles are 90 degrees.
pyramid
Any polygon other than a triangle can be divided into simpler polygons. They can all be divided into triangles.
13 triangles will be formed
Certain polygons, yes. Squares, Triangles and Hexagons are all shapes which, in their regular form, can tessellate. Other polygons cannot.
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).
Some examples of polygons include circles, triangles, squares, rectangles, pentagons, and hexagons. These are examples of 'simple polygons,' in that none of the lines overlap and intersect each other, such as in a pentagram, which is a 'star polygon.'
By looking at other polygons with less sides, we can see how many triangles they can fit. In a 4-sided polygon (square), you can fit 2 triangles. In a 5-sided polygon (pentagon), you can fit 3 triangles. In a 6-sided polygon (hexagon), you can fit 4 triangles. In an 8-sided polygon (octagon), you can fit 6 triangles. The pattern here is the number of triangles is equal to the number of sides minus 2. T = N - 2 So... 50 - 2 = 48. 48 triangles can fit into a 50-sided polygon.
Since any polygon can be constructed from a combination of other polygons, I would call this rule a "trivial property of polygons".
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.
Two polygons are similar if they meet the following criteria. They must have the same number of sides. Each vertex of one polygon has a corresponding vertex on the other polygon with same angle measurement. Each side on one polygon is proportional to a corresponding side on the other one by the same scalar multiple. If the two polygons are triangles, then if angle criteria is satisfied the side proportion will automatically be satisfied. The converse is true as well. For other polygons, both sides and angles must be tested. An example would be a square and a rhombus.
You are describing a polygon. Polygons can be triangles (3 sides), quadrilaterals (4 sides) etc... and some have special names. A square, for example, is a four sided polygon with all sides the same length and all angles are 90 degrees.
It can be many types of polygons a square is an easy one, but there are also equallateral triangles when all the sides of a triangle are congruent with each other. There is also an octagon an 8 sided polygon that can be congruent sides, and it just keeps going on.