Polygons are closed curves that are made up of more than two lines. The plane geometric shapes are two-dimensional shapes or flat shapes. The properties of plane shapes help us identify and classify them. Transversals and related angles establish the interesting properties of parallel lines and their theorems. The study of angles in a unit circle and that of a triangle forms the stepping stone of trigonometry. The construction of angles and lines is an intricate component of geometry. The pairs of angles can be supplementary or complementary. The angles can be an acute, obtuse, right angle, straight angle, or obtuse angle. When two straight lines or rays intersect at a point, they form an angle. It is easy to differentiate a line, line segment, and ray. A line is a uni-dimensional unit that refers to a set of points that extends in two opposite directions and the line is said to be the intersection of two planes. Points lying on the same line are the collinear points. A point is the no-dimensional basic unit of geometry. The basic components of planes in geometry are analogous to points, lines, and angles. Planes are used in every area of geometry and graph theory. A two-dimensional surface extending infinitely in both directions forms the plane. The things that are halves of the same things are equal to one another.Įuclidean geometry involves the study of geometry in a plane.The things that are double the same are equal to one another.If A > B, then there exists C such that A = B + C. The coinciding things are equal to one another.If equals are subtracted, the remainders are equal.If equals are added to equals, the wholes are equal.The things that are equal to the same things are equal to one another.A few of Euclid's axioms in geometry that are universally accepted are: Any two straight lines are infinitely parallel that are equidistant from one another at two points.Īxioms or postulates are based on assumptions and have no proof for them.

A circle is drawn with any given point as its center and any length as its radius.A straight line is extended indefinitely in both directions.

A straight line segment is drawn from any given point to any other.

There are 5 basic postulates of Euclidean Geometry that define geometrical figures. The fundamental concepts of Euclidean geometry include Points and Lines, Euclid’s Axioms and Postulates, Geometrical Proof, and Euclid’s Fifth Postulate. Euclidean Geometry refers to the study of plane and solid figures on the basis of axioms (a statement or proposition) and theorems. We study Euclidean geometry to understand the fundamentals of geometry.

Facts about altitude geometry