A Guide to the Basics of Geometry
Math is a vast and diverse field, and it has a massive scope in our life such as science, engineering, finance, medicine, and so on. Math is an important subject, and we are all surrounded by the world of Math. Maths is a topic of numbers, shapes, measurements, data handling, etc. The concepts and the theories explained in Math help solve different types of academic problems and real-life problems. Learning Math helps to improve our logical thinking and problem-solving skills. The various branches of Math, such as arithmetic, geometry, trigonometry, algebra, etc., lead to the technological development of our country. Let’s discuss one of the branches called “Geometry” and its basics.
The term “Geometry” comes from the Greek word “Geometron.” It is comprised up of two words, such as “Geo” and “Metron,” which means “Earth” and “Measurements.” Basic geometry is the study of points, lines such as parallel lines and intersecting lines, angles such as acute angle, obtuse angle and right angle, plane figures, and solid figures.
A point is defined as the location in space. It is generally referred to by dot (.). A point on the surface is expressed in the upper case letter.
We know that a ray is a set of points that starts at one point (endpoint) and continues infinitely in a single direction. An angle is a measurement among two rays that joins at the common point. The notation to represent the angle is “∠.” The three common angles we have learned are acute angle, obtuse angle, and right angle.
Acute Angle: The angle that ranges from 0° to 90°.
Right angle: The angle is equal to 90°.
Obtuse Angle: The angle that lies between 90° and 180°.
The other types of angles that are observed in our Mathematical calculations are straight angle and reflex angle. The angle exactly equal to 180° is called a straight angle, and the angle greater than 180° and less than 360° is called a reflex angle.
A line is defined as a collection of points that extends infinitely in both directions. The two arrows on both sides of the lines represent that the line extends forever. The part of the line is called the line segment. A line segment has two endpoints, whereas a line has no endpoint. The line that never meets each other even if we extend them on the plane surface is called parallel lines and the distance between the two parallel lines is constant. The line that meets each other after extending them are called intersecting lines, and the point where two lines intersect is called point of intersection. The perpendicular lines are the lines where two lines meet each other at right angles.
Plane figures are also known as the two-dimensional figures, and it has two dimensions: length and breadth. The 2D figures are also known as flat shapes. Examples of plane figures are square, rectangle, triangle, circle, etc.
Solid figures, also known as three-dimensional or 3D shapes, have three dimensions: length, breadth, and height. Generally, 3D shapes are taken from the rotation of 2D shapes. Examples of solid figures are cuboid, cube, cylinder, and so on.