Angles in Geometry

What is Geometry in Maths?

Geometry is the study of different varieties of shapes, figures, and sizes. It gives us knowledge about distances, angles, patterns, areas, and volumes of shapes. The principles of geometry depend on points, lines, angles, and planes. All the geometrical shapes are based on these geometrical concepts....

Geometry Definition

Geometry is a branch of mathematics that studies the properties, measurement, and relationships of points, lines, angles, surfaces, and solids....

Branches of Geometry

The geometry can be divided into different parts:...

Algebraic Geometry

This branch of geometry focuses on the zeros of the multivariate polynomial. It consists of linear and polynomial algebraic equations for solving sets of zeros. Applications in this category include string theory and cryptography....

Discrete Geometry

This branch of geometry mainly focuses on the position of simple geometrical objects such as points, lines, triangles, etc. It includes problems based on ordinary continuous spaces that have a combinatorial aspect....

Differential Geometry

It comprises algebraic and calculus techniques for problem-solving. The various problems include problems like general relativity in physics etc....

Euclidean Geometry

In Euclidean geometry, we study planes and solid figures based on axioms and theorems. The fundamental theorems of Euclidean geometry include Points and Lines, Euclid’s Axioms and Postulates, Geometrical Proof, and Euclid’s Fifth Postulate....

Non-Euclidean Geometry

There are two types of Non-Euclidean Geometry- Spherical and Hyperbolic Geometry. It is different from Euclidean geometry due to the difference in the principles of angles and parallel lines....

Convex Geometry

It consists of convex shapes in Euclidean space and uses techniques that involve real analysis. It is used in various applications of optimization and functional analysis....

Topology

It comprises the properties of space that are under continuous mapping. It is used in consideration of compactness, completeness, continuity, filters, function spaces, grills, clusters and bunches, hyperspace topologies, initial and final structures, metric spaces, nets, proximal continuity, proximity spaces, separation axioms, and uniform spaces....

Plane Geometry

Plane geometry is concerned with the shapes that can be drawn on paper. Euclidean geometry involves the study of plane geometry....

Important Points in Plane Geometry

Collinear points are the ones that lie on the same line. A line segment is part of a line that has two endpoints and is finite in length. A ray is a line segment that extends indefinitely in one direction. A line has no endpoints. Line, line segment, and ray are different from each other....

Angles in Geometry

In planar geometry, an angle is formed when two rays intersect, called the sides of the angle, and share a common endpoint known as the vertex of the angle....

Polygon and its Types

A figure that is made up of a finite number of straight-line segments closing in a loop. The word ‘poly’ means multiple....

Types of Polygon in Geometry

The types of polygons are:...

Circle in Geometry

A circle is a closed shape. From a fixed point known as the center, all the points of a circle are of the same distance....

Similarity and Congruency in Geometry

Similarity: Two figures are considered similar if they have the same shape or equal angle but may not be necessarily of the same size....

Solid Geometry

Solid geometry is the study of three-dimensional structures such as cubes, prisms, cylinders, and spheres. 3D figures’ three dimensions are length, width, and height. However, certain solids do not have faces (e.g. sphere)....

Circle in Geometry

A circle is a closed shape. From a fixed point known as the center, all the points of a circle are of the same distance....

Similarity and Congruency in Geometry

Similarity: Two figures are considered similar if they have the same shape or equal angle but may not be necessarily of the same size....

Solid Geometry

Solid geometry is the study of three-dimensional structures such as cubes, prisms, cylinders, and spheres. 3D figures’ three dimensions are length, width, and height. However, certain solids do not have faces (e.g. sphere)....

Three-Dimensional Geometry

Three-dimensional geometry studies the geometry of shapes in 3D space in the cartesian planes. Every point in the space is referred by 3 coordinates, (x, y,z) that are real numbers....

Geometry Formulas

This are some fundamental geometry formulas:...

Application of Geometry in Real Life

Imagine standing before a towering skyscraper or walking through a charming bridge. The awe-inspiring shapes and the strength of these structures owe much to geometry, guiding architects and engineers in creating spaces that are not only safe but also pleasing to the eye. Art and design are playgrounds for geometric exploration. Artists manipulate shapes and forms to produce stunning visuals, while designers use geometry to bring balance and harmony to everything from sleek websites to cozy living rooms. Next time you lose yourself in a video game or a movie’s CGI wonders, remember that geometry is the secret spell behind those captivating visuals. It helps animate characters and build fantastical worlds that seem nearly as tangible as our own. The art of cartography, or map-making, transforms the round globe into a flat map with the help of geometry, helping us navigate from point A to point B, whether it’s through bustling city streets or across continents. The vastness of space becomes a little more understandable with geometry. It calculates distances to far-off stars and plots the courses of space missions, turning the mysteries of the universe into solvable puzzles. In the realm of medicine, geometry’s precise calculations are crucial for technologies like CT scans and MRIs, offering doctors a glimpse inside the human body to diagnose and treat illnesses with remarkable accuracy. The convenience of GPS technology, guiding you on your travels or ensuring your online orders arrive at your doorstep, is powered by geometric principles, ensuring accuracy and efficiency in navigation. From assembly lines to household helpers, robots rely on geometry to move gracefully and interact with their surroundings, making them indispensable tools in modern manufacturing and daily convenience. The next time you dress up or admire a piece of jewelry, consider the geometric principles that influence fashion design, from the symmetry of patterns to the structure of garments. Sports aren’t just about physical prowess; they’re also about strategy. Athletes and coaches use geometry to plot game-winning moves, whether it’s the perfect soccer goal or the ideal swim turn....

Geometry Examples

Example 1: If the equal angles measure 50° in an Isosceles triangle then find the third angle....

Practice Problems on Geometry

1. Find the area of a rectangle with a length of 8 cm and a width of 5 cm....

What is Geometry – FAQs

What is Geometry in maths?...