Geometry is a branch of mathematics that studies spatial relationships and forms as well as relationships and forms that resemble spatial ones in structure.
The origin of the term “geometry,” which literally means “earth measurement,” may be explained in the following words, attributed to the ancient Greek scholar Eudemos of Rhodes (fourth century B.C.):“Geometry was discovered by the Egyptians as a result of their measurement of land. This measurement was indispensable to them because of the overflowing of the river Nile, which continually washed out boundaries.” The ancient Greeks already considered geometry to be a mathematical science, while for the science of measuring land the term “geodesy” was introduced. Judging by fragments that have been preserved from ancient Egyptian writings, one can see that geometry developed not only from measurements of land but also from measurements of volumes and surfaces in excavation and construction work.
2.1 PROPERTIES OF GEOMETRIC SHAPES
Each geometric shape has its own characteristics by which you can identify and recognize Geometry is the study of how lines interact with each other to form angles and shapes. It is necessary to appreciate the logical reasoning that goes with understanding the concepts of geometry so that its principles may be applied in various situations. We start with definitions and axioms (fundamental principles) as our foundation, and build up to the more complex theorems step-by-step.
2.1.1 Polygons
Number of Sides | Name |
3 | Triangle |
4 | Quadrilateral |
5 | Pentagon |
6 | Hexagon |
7 | Heptagon |
And so on… |
A polygon is a closed figure composed of three or more line segments that intersect at their endpoints. Each line segment is called the side. The intersection at the endpoints is called the vertex. Keep in mind that the number of sides and number of interior angles of a polygon are the same. Polygons are named according to the number of sides. A general way to name a polygon with n sides is to call it a n-gon (e.g., A 7-gon is a polygon with 7 sides).
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