The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:
The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:
Introduction
Geometry is the mathematics branch that deals with the forms, angles, measurements, and proportions of a number of ordinary objects we see. There are two-dimensional forms and three-dimensional forms in Euclidean geometry.
Two forms, such as triangles, squares, rectangles, rings, are often considered flat shapes in plane geometry. In solid geometry, solids are often referred to as 3d structures, such as a cube, cuboid, cone, etc. The simple geometry, explained in coordinate geometry, is based on points, lines, and planes.
The numerous kinds of shapes in geometry allow one to consider the shapes of daily life. We can measure the areas of parallelograms and triangles, their perimeter, and volume with the aid of geometric principles.
Flat forms that can be drawn on a sheet of paper are dealt with by Plane Geometry. This involves two-dimension arcs, circles & triangles. Plane geometry is also known as the geometry of two dimensions. There are only two tests for all two-dimensional statistics, such as length and width. The width of the shapes does not interact with it. A cube, triangle, rectangle, circle, and so on are some examples of plane figures. Here, in plane geometry, some of the essential terminologies are clarified.
A plane figure that is connected to form a closed polygonal chain or circuit by a finite chain of straight line segments closing in a circle.
The term ‘poly’ extends to multiples. An n-gon is a polygon with n sides; a 3-gon polygon is, for instance, a triangle.
General Formula for Sum of a polygon’s interior angles
Sum of a polygon’s interior angles = (n-2) x 180
Polygon Types
The polygon types are:
| Polygon Type | Definition and Property |
| Triangles | A 3-sided polygon that often adds up to 180 degrees to the number of internal angles. The area of a triangle can be found out using Heron’s Formula. |
| Quadrilaterals | A polygon of 4 sides with four corners and four vertices. 360 degrees sum of the number of internal angles |
| Pentagon | Having five straight sides and five angles, a plane figure |
| Hexagon | Having six straight sides and six angles, a plane figure |
| Heptagon | Having seven sides and seven angles, a plane figure |
| Octagon | Having eight straight sides and eight angles, a plane figure |
| Nonagon | Nine straight sides and nine angles for a plane figure. |
| Decagon | A figure of a plane of ten straight sides and ten angles. |
A Circle is a closed, simple structure. Both points in a circle are the same consistent distance from a certain point called the center, i.e. the curve drawn out by a point that travels such that the distance from the center is fixed.
Congruence and Similarity
In this chapter, we learned about lines & angles, different shapes, and their geometry. We will apply this knowledge to solve questions based on surface areas & volumes and improvise our constructions of figures.
1. What are the basics of geometry?
Three basic concepts depend on the fundamental geometrical concepts. The point, line, and plane are them. We can’t describe the terms specifically. But, it applies to the placemark and has a definite spot.
2. What are the 3 types of geometry?
There are 3 geometries in two dimensions: Euclidean, spherical, and hyperbolic. For 2-dimensional objects, these are the only geometries possible.
3. What are 10 geometric terms?
4. What are 10 geometric concepts?
The principles in geometry are points, lines, planes, angles, parallel lines, triangles, similarity, trigonometry, quadrilaterals, transformations, circles, and area.
5. How do we use geometry in real life?
In the real world, geometry uses include computer-aided design for building plans, assembly systems design in engineering, nanotechnology, computer graphics, visual graphs, programming for video games, and the development of virtual reality.
We understand that learning geometry can be tough. At MSVgo, we provide you with easy video lessons with real-life examples to understand it easily. Go ahead and try it out now! It’s entirely free to download on the Google Play Store as well as Apple iOS App Store.
