Lines and planes in space

Transversals are used to evaluate whether or not two or more than two lines in the Euclidean plane are parallel. When a transversal intersects two lines, it forms a variety of pairings of angles, including consecutive interior angles, consecutive exterior angles, matching angles, and alternative angles. Definition A transversal is a line that crosses two […]

Translation of Axes considers a transformation in which the new axes are parallel and directed the same way as the original axes. Axes translation entails completing two geometric transformations: a horizontal and vertical shift. As a result, the new axes can be generated by relocating the old axes horizontally and vertically by h units while

Felix Klein provided a new perspective on geometry known as transformational geometry in the nineteenth century. The majority of geometric proofs are dependent on object transformations. A graph of a function can undergo four different transformations (and translation in math is one of them). They are: •Rotations •Translations •Reflections •Dilation We will study about translation

Three-dimensional space, often known as 3D space, 3-space, or, less frequently, tri-dimensional space, is a geometric setting in which an element’s position is determined by three values, or parameters (i.e., point). This is how the term “dimension” is generally used. A tuple of n numbers in mathematics is equivalent to the Cartesian coordinates of a

Three-dimensional geometry requires the usage of three coordinates, namely, the x-axis, the y-axis, and the z-axis. These coordinates provide the location of the object with respect to the origin on the cartesian plane. In this way, various other properties, such as distance, area, angle, etc., of the object are under observation. Furthermore, three-dimensional geometry covers

 The numbers are grouped together by the number of digits. The digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 are used to generate higher digit numbers. The place value of a three-digit number aids in comprehending the meaning of each digit. 100 is the lowest three-digit number, while 999 is the

The line is the Basic element of geometry where we learn about many types of lines such as parallel lines, perpendicular lines, intersecting lines etc, these lines are important to draw various kinds of polygon shapes. For example; To draw A square, we need four lines of equal length joined by end to end. Now,

The basic terms The locus of point traversing at a fixed distance with respect to a given point gives us a circle. The given point is often known as the centre of a circle or the fixed point. The distance between the fixed and the moving point is constant, tracing a circular path. Thus, the

Solids are bodies that occupy space, such as a cuboid, a cube, a cylinder, a cone, a sphere, and so on. The surfaces of these solids are either flat or curved. The surface area of any three-dimensional object can be divided into three categories: Curved Surface Area (CSA), Lateral Surface Area (LSA), and Total Surface

In our daily lives, we interact with objects of all shapes and sizes; most of these objects are made up of solid figures and have some area and volume. The surface area of an object is the total area covered by the surface of an object; by calculating the surface area, we can find out