Geometry has a tremendous and loud history. The English equivalent of the term ‘Geometry’ is the Greek word ‘Geometron’. Where ‘Geo’ signifies Earth, and ‘metron’ implies measurement. According to recorders, the geometrical designs grew up in early times, apparently due to the requirement for art, architecture and size. These constitute times while the borders to be marked for cultivated lands without providing scope for objections. Construction of magnanimous palaces, halls, temples, lakes, ponds, dams, cities, art, buildings and architecture propped up those designs. Even now, geometrical ideas exhibited in art, dimensions, construction, architecture, textiles designing etc.
We can observe and accept different things like boxes, furniture, books, and so on. Students can also choose the tiffin box in various shapes they carry to schools for lunch, such as triangular shape, rectangular shape, circular shape, etc. The ruler we use, the pencil with which we write, is straight, which means they form a straight line. The views of a bangle, one or five rupee coins and a shot look round, i.e. a circle. Apart from these, the quadrilateral properties help us form more shapes, such as square, trapezium, rhombus, kite, etc. These shapes can be observed in different situations of our daily life.
A point determines a location. These are some criteria for locating and naming a point. Suppose we mark two points on a paper; we must distinguish them. For this, both are denoted with a single capital letter like P and Q. These points will be read as point P and point Q. Of course, the dots must be undetectably thin. Another simple shape is a line. This can be formed by folding a piece of paper and unfolding it. The folding segment of this paper determines a line segment. The ends held by the paper fold are called the endpoints of the line segment and can be named as A and B so that the line segment is represented as AB.
We know that there are different straight lines such as a line, ray, line segment, etc. When a line has a bent, then that line is said to be a curved line. In general terms, a curve is a line that is not straight. Curves are classified into two main categories, namely open curves and closed curves. Well-known examples of a closed curve include circle and ellipse. Examples of open curves are parabola and hyperbola. Geometrically, a hyperbola is a locus of or a set of points such that the distances between any point on this set of points from two fixed points called foci will be constant. Also, a hyperbola contains two open curves.
In geometry, we can find other shapes apart from these points, lines, and curves. They are polygons and solids. Polygon is a closed figure formed by the line segments, whereas solids are three-dimensional figures created by combining these polygons and curves. We can observe several geometric shapes formed when we deal with the construction of a house. Where doors, windows, walls, etc., will be in the form of quadrilaterals. Every object that we see around us constitutes a unique shape. Also, each of these shapes possesses different properties.